NO. | PUBLISHED | RWTH | AUTHORS | TITLE | KEYWORDS | DOI |
---|---|---|---|---|---|---|

664 | 989629 | Michael Herty, Yuyang Huang, Dante Kalise, Hicham Kouhkouh | A multiscale Consensus-Based algorithm for multi-level optimization | |||

648 | 988937 | Maren Hantke, Siegfried Müller, Aleksey Sikstel, Ferdinand Thein | A survey on isothermal and isentropic Baer-Nunziato-type models | Baer-Nunziato model, isentropic flow, isothermal flow, multiphase flow | ||

663 | 989626 | Giacomo Borghi, Michael Herty, Andrey Stavitskiy | Dynamics of measure-valued agents in the space of probabilities | multi-agent systems, Wasserstein space, consensus dynamics, measure differential inclusions, consensus-based optimization | ||

654 | 988854 | Maxim Olshanskii, Arnold Reusken, Paul Schwering | A narrow band finite element method for the level set equation | |||

662 | 989625 | Michael Herty, Yizhou Zhou | Exponential turnpike property for particle systems and mean-field limit | Exponential turnpike property, mean-field limit, optimal control | ||

649 | 988940 | Richard L. Zhu, Mathias Oster, Yuehaw Khoo | S-SOS: Stochastic Sum-Of-Squares for Parametric Polynomial Optimization | Optimization and Control | ||

665 | 989734 | Niklas Kolbe | Influx ratio preserving coupling conditions for the networked Lighthill-Whitham-Richards model | Macroscopic traffic flow models, coupling conditions, hyperbolic conservation laws | ||

650 | 988939 | Markus Bachmayr, Wolfgang Dahmen, Mathias Oster | Variationally Correct Neural Residual Regression for Parametric PDEs: On the Viability of Controlled Accuracy | |||

661 | 989624 | Jan Friedrich, Sarah Schraven, Fabian Kiessling, Michael Herty | Source identification using different moment hierarchies | |||

660 | 989623 | Shaoshuai Chu, Michael Herty, Alexander Kurganov | Novel Local Characteristic Decomposition Based Path-Conservative Central-Upwind Schemes | Local characteristic decomposition, path-conservative central-upwind schemes, flux globalization, compressible multifluids, thermal rotating shallow water equations. | ||

659 | 989619 | Michael Herty, Christian Ringhofer | Kinetic Theories for Metropolis Monte Carlo Methods | Monte Carlo methods, Kinetic Theories | ||

658 | 984759 | Sabrina Bonandin, Michael Herty | Consensus-based algorithms for stochastic optimization problems | mean-field limit, particle swarm optimization, random optimization problems | ||

657 | 988855 | Martin Gugat, Michael Herty, Jiehong Liu, Chiara Segala | The turnpike property for high-dimensional interacting agent systems in discrete time | turnpike property, time-discrete systems, multi-agent systems, optimal control | ||

652 | 988959 | Henrik Eisenmann | A Newton method for solving locally definite multiparameter eigenvalue problems by multiindex | |||

653 | 988969 | Markus Bachmayr, Riccardo Bardin, Matthias Schlottbom | Low-rank tensor product Richardson iteration for radiative transfer in plane-parallel geometry | isotropic radiative transfer, low-rank methods, iterative methods, compression, rank-control techniques, tensor product structure | ||

651 | 988960 | Markus Bachmayr, Martin Eigel, Henrik Eisenmann, Igor Voulis | A convergent adaptive finite element stochastic Galerkin method based on multilevel expansions of random fields | stochastic Galerkin method, finite elements, frame-based error estimation, multilevel expansions of random fields | ||

656 | 989614 | Michael Herty, Chiara Segala, Giuseppe Visconti | Controllability of continuous networks and a kernel-based learning approximation | Neural networks, mean-field limit, controllability, kernel methods | ||

655 | 989612 | Michael Herty, Niklas Kolbe, Michael Neidlin | A one-dimensional model for aspiration therapy in blood vessels | |||

641 | 981168 | Giacomo Albi, Sara Bicego, Michael Herty, Yuyang Huang, Dante Kalise, Chiara Segala | Data/moment-driven approaches for fast predictive control of collective dynamics | |||

640 | 981056 | Kharisma Surya Putri, Tatsuki Mizuochi, Niklas Kolbe, Hirofumi Notsu | Error Estimates for First- and Second-Order Lagrange-Galerkin Moving Mesh Schemes for the One-Dimensional Convection-Diffusion Equation | Finite element method, Lagrange-Galerkin scheme, moving mesh method, error estimate, convection-diffusion system | ||

635 | 979783 | Matthias Kunik, Adrian Kolb, Siegfried Müller, Ferdinand Thein | Radially symmetric solutions of the ultra-relativistic Euler equations in several space dimensions | |||

644 | 981229 | Abdellah Chkifa, Matthieu Dolbeault | Randomized least-squares with minimal oversampling and interpolation in general spaces | Leastsquares, Interpolation, Christoffel function | ||

645 | 981227 | Matthieu Dolbeault, Olga Mula, Agustín Somacal | State estimation of urban air pollution with statistical, physical, and super-learning graph models | |||

642 | 981225 | Mathias Oster, Luca Saluzzi, Tizian Wenzel | A comparison study of supervised learning techniques for the approximation of high dimensional functions and feedback control | Optimal Control, High-Dimensionality, Neural Networks, Kernel Methods, Tensor Trains | ||

634 | 981019 | Kevin Rupp, Andreas Lösch, Linda Hu, Chenxi Nie, Rudolf Schill, Maren Klever, Simon Pfahler, Lars Grasedyck, Tilo Wettig, Niko Beerenwinkel, Rainer Spang | Modeling metastatic progression from cross-sectional cancer genomics data | |||

647 | 980188 | Michael Herty, Ferdinand Thein | Comparison of approaches for boundary feedback control of hyperbolic systems | |||

646 | 980189 | Ferdinand Thein | The Shizuta-Kawashima Condition for the Barotropic SHTC Two Fluid Model | |||

621 | 976528 | Arnold Reusken | Analysis of the Taylor-Hood Surface Finite Element Method for the surface Stokes equation | surface Stokes equation, Taylor-Hood finite element pair, finite element error analysis | ||

620 | 976529 | Arnold Reusken, Hauke Sass | Analysis of a space-time unfitted finite element method for PDEs on evolving surfaces | surface partial differential equation, space-time finite element method, CutFEM, TraceFEM, finite element error analysis | ||

625 | 975585 | Giacomo Borghi, Michael Herty | Model predictive control strategies using consensus-based optimization | Model predictive control, Consensus-based optimization, Stochastic particle method, Nonlinear systems | ||

623 | 976819 | Simon Pfahler, Peter Georg, Rudolf Schill, Maren Klever, Lars Grasedyck, Rainer Spang, Tilo Wettig | Taming numerical imprecision by adapting the KL divergence to negative probabilities | Kullback-Leibler divergence, Approximate Bayesian computation, Statistical optimization, Mutual Hazard Networks, Tensor trains | ||

630 | 976820 | Alina Chertock, Michael Herty, Arsen S. Iskhakov, Safa Janajra, Alexander Kurganov, Maria Lukacova-Medvidova | New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties | Hyperbolic conservation and balance laws with uncertainties, finite-volume methods, central-upwind schemes, weighted essentially non-oscillatory (WENO) interpolations | ||

629 | 975105 | Christian Fiedler, Michael Herty, Sebastian Trimpe | Mean field limits for discrete-time dynamical systems via kernel mean embeddings | ✔ | ||

633 | 980956 | Rudolf Schill, Maren Klever, Andreas Lösch, Linda Hu, Stefan Vocht, Kevin Rupp, Lars Grasedyck, Rainer Spang, Niko Beerenwinkel | Overcoming Observation Bias for Cancer Progression Modeling | |||

628 | 974383 | Simone Göttlich, Michael Herty, Alena Ulke | Speed limits in traffic emission models using multi-objective optimization | traffic flow network, emission models, multi-objective optimization, numerical simulations | ||

632 | 974667 | Sabrina Bonandin, Mattia Zanella | Effects of heterogeneous opinion interactions in many-agent systems for epidemic dynamics | kinetic equations, mathematical epidemiology, opinion dynamics, collective phenomena, many-agent systems | ✔ | |

622 | 974382 | Niklas Kolbe, Michael Herty, Siegfried Müller | Numerical schemes for coupled systems of nonconservative hyperbolic equations | nonconservative products; relaxation system; finite volume method; hyperbolic systems; coupling conditons; Riemann solvers | ||

627 | 973845 | Christian Fiedler, Michael Herty, Sebastian Trimpe | On kernel-based statistical learning in the mean field limit | |||

636 | 972231 | Giacomo Borghi, Lorenzo Pareschi | Kinetic description and convergence analysis of genetic algorithms for global optimization | Genetic algorithms, global optimization, stochastic particle systems, Boltzmann equation, mean field equations | ||

626 | 974381 | Michael Herty, Hicham Kouhkouh | Relaxation and asymptotic expansion of controlled stiff differential equations | |||

631 | 975677 | Jan Giesselmann, Niklas Kolbe | A posteriori error analysis of a positivity preserving scheme for the power-law diffusion Keller-Segel model | Keller-Segel; chemotaxis; nonlinear diffusion; finite volume scheme; a posteriori error analysis | ||

624 | 974379 | Markus Bachmayr, Henrik Eisenmann, André Uschmajew | Dynamical low-rank tensor approximations to high-dimensional parabolic problems: existence and convergence of spatial discretizations | low-rank approximation, tensor train, hierarchical tensors | ||

614 | 963366 | Sophie Charlotte Stebner, Juri Martschin, Bahman Arian, Stefan Dietrich, Martin Feistle, Sebastian Hütter, Rémi Lafarge, Robert Laue, Xinyang Li, Christopher Schulte, Daniel Spies, Ferdinand Thein, Frank Wendler, Malte Wrobel, Julian Rozo Vasquez, Michael Dölz, Sebastian Münstermann | Monitoring the evolution of dimensional accuracy and product properties in property-controlled forming processes | microstructure evolution, microstructure, process, product property, component performance, soft sensor, monitoring, non-destructive testing, closed-loop control | ✔ | |

612 | 963364 | Niklas Kolbe, Moritz Berghaus, Eszter Kalló, Michael Herty, Markus Oeser | A data-driven microscopic on-ramp model based on macroscopic network flows | Traffic flow theory, Macroscopic traffic models, Car-following models, On-ramps, Trajectory data, Traffic simulation | ||

611 | 963347 | F. A. Chiarello, J. Friedrich, S. Göttlich | A non-local traffic flow model for 1-to-1 junctions with buffer | scalar conservation laws, anisotropic non-local flux, coupled PDE-ODE model, traffic flow | ✔ | |

533 | 951714 | Jan Giesselmann, Hrishikesh Joshi, Siegfried Müller, Aleksey Sikstel | Model adaptation for hyperbolic balance laws | model adaptation, a posteriori modeling error estimator, relative entropy, chemically reacting fluid mixture | ||

534 | 958596 | Michael Herty, Niklas Kolbe, Siegfried Müller | A central scheme for two coupled hyperbolic systems | Coupled conservation laws; hyperbolic systems, finite-volume schemes; cou- pling conditions; relaxation system | ✔ | |

637 | 956722 | Jan Friedrich, Sanjibanee Sudha, Samala Rathan | Numerical schemes for a class of nonlocal conservation laws: a general approach | Nonlocal conservation laws, Monotone schemes, Traffic flow, Sedimentation model, Finite-volume schemes | ✔ | |

619 | 963806 | Giacomo Borghi, Sara Grassi, Lorenzo Pareschi | Consensus based optimization with memory effects: random selection and applications | consensus-based optimization, stochastic particle methods, memory effects, random selection, machine learning, mean-field limit | ✔ | |

580 | 954181 | Michael Herty, Ferdinand Thein | Boundary Feedback Control for Hyperbolic Systems | |||

579 | 954182 | Martin Gugat, Michael Herty, Chiara Segala | The turnpike property for mean-field optimal control problems | Turnpike property, mean-field limit, optimal control | ✔ | |

578 | 951618 | Christian Fiedler, Michael Herty, Michael Rom, Chiara Segala, Sebastian Trimpe | Reproducing kernel Hilbert spaces in the mean field limit | ✔ | ||

610 | 956721 | Jan Friedrich, Simone Göttlich, Alexander Keimer, Lukas Pflug | Conservation laws with nonlocality in density and velocity and their applicability in traffic flow modelling | ✔ | ||

608 | 951715 | Markus Bachmayr, Simon Boisserée, Lisa Maria Kreusser | Analysis of nonlinear poroviscoelastic flows with discontinuous porosities | ✔ | ||

607 | 951716 | Markus Bachmayr, Manfred Faldum | A space-time adaptive low-rank method for high-dimensional parabolic partial differential equations | Parabolic partial differential equationsHigh dimensionsSpace-time adaptive methodsLow-rank tensor approximationsWavelet approximationOperator compression | ✔ | |

523 | 918215 | Maxim A. Olshanskii, Arnold Reusken, Paul Schwering | An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces | surface Navier–Stokes system, surface PDEs, evolving surfaces, TraceFEM | ✔ | |

577 | 918219 | Matteo Piu, Michael Herty, Gabriella Puppo | Derivation and stability analysis of macroscopic multi-lane models for vehicular traffic flow | Vehicular traﬃc; multi-lane; macroscopic limit; balance laws; stability | ✔ | |

522 | 861858 | Hauke Sass, Arnold Reusken | An accurate and robust Eulerian finite element method for partial differential equations on evolving surfaces | surface partial differential equation, trace finite element method, space-time finite element method, unfitted finite element method | ✔ | |

576 | 861582 | Michael Herty, Niklas Kolbe | Data-Driven Models for Traffic Flow at Junctions | Macroscopic traffic flow models, coupling conditions, hyperbolic conservation laws | ||

616 | 949199 | Giacomo Borghi | Repulsion dynamics for uniform Pareto front approximation in multi-objective optimization problems | multi-objective optimization, gradient-free methods, heuristic algorithms, potential based diversity measure, scalarization | ✔ | |

613 | 855451 | Sandra May, Ferdinand Thein | Explicit-Implicit Domain Splitting for Two Phase Flows with Phase Transition | ✔ | ||

609 | 855807 | Jan Friedrich, Simone Göttlich, Alexander Keimer, Lukas Pflug | Conservation laws with nonlocal velocity - the singular limit problem | nonlocal conservation law, nonlocal in velocity, convergence, weak entropy solution, monotonicity preserving, singular limit, singular limit for nonlocal in velocity conservation laws | ✔ | |

617 | 855992 | Niklas Kolbe | Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws | ✔ | ||

638 | 855808 | Jan Friedrich | Lyapunov stabilization of a nonlocal LWR traffic flow model | Lyapunov stabilization, nonlocal models, LWR model, macroscopic traffic flow | ✔ | |

575 | 855789 | Giacomo Albi, Michael Herty, Chiara Segala | Robust feedback stabilization of interacting multi-agent systems under uncertainty | Agent-based dynamics, mean-field equations, uncertainty quantification, stochastic Galerkin, H∞ control | ✔ | |

527 | 855793 | Francesco A. B. Silva, Cecilia Pagliantini, Martin Grepl, Karen Veroy | A Reduced Basis Ensemble Kalman Method | Inverse Problems, Ensemble Kalman Method, Model Order Reduction, Representation Error | ||

574 | 855790 | Jan Friedrich, Simone Göttlich, Michael Herty | Lyapunov stabilization for nonlocal traffic flow models | Lyapunov stabilization, nonlocal models, microscopic traffic flow | ✔ | |

532 | 854171 | Michael Herty, Niklas Kolbe, Siegfried Müller | Central schemes for networked scalar conservation laws | Coupled conservation laws, finite-volume schemes, coupling conditions | ✔ | |

639 | 981041 | Jan Friedrich, Simone Göttlich, Annika Uphoff | Conservation laws with discontinuous flux function on networks: a splitting algorithm | Traffic flow networks, conservation laws with discontinuous flux, numerical schemes | ✔ | |

521 | 852581 | Siegfried Müller, Michael Rom | Analytical investigation of 1D Darcy-Forchheimer flow under local thermal nonequilibrium | transpiration cooling, 1D porous medium flow, Darcy-Forchheimer, local thermal nonequilibrium | ||

545 | 852725 | Florian Drechsler, Johannes Vorwerk, Jens Haueisen, Lars Grasedyck, Carsten H. Wolters | Validation of EEG forward modeling approaches in the presence of anisotropy in the source space | EEG, source analysis, forward problem, finite element method, anisotropy, multilayer sphere models, validation | ||

573 | 850618 | Giacomo Borghi, Michael Herty, Lorenzo Pareschi | An adaptive consensus based method for multi-objective optimization with uniform Pareto front approximation | stochastic particle methods, consensus-based optimization, multi-objective op- timization, gradient-free methods, mean-field limit | ✔ | |

572 | 850321 | Michael Herty, Ferdinand Thein | Stabilization of a Multi-Dimensional System of Hyperbolic Balance Laws | ✔ | ||

602 | 853277 | Markus Bachmayr, Ana Djurdjevac | Multilevel Representations of Isotropic Gaussian Random Fields on the Sphere | ✔ | ||

571 | 849254 | Alina Chertock, Shaoshuai Chu, Michael Herty, Alexander Kurganov, Maria Lukacova-Medvidova | Local Characteristic Decomposition Based Central-Upwind Scheme | Local characteristic decomposition; central-upwind schemes; hyperbolic systems of conservative laws; Euler equations of gas dynamics | ✔ | |

604 | 854284 | Markus Bachmayr, Igor Voulis | An adaptive stochastic Galerkin method based on multilevel expansions of random fields: Convergence and optimality | parameter-dependent elliptic partial diﬀerential equations, stochastic Galerkin method, a posteriori error estimation, adaptive methods, complexity analysis | ✔ | |

643 | 981183 | Tilman Alemán, Martin Halla, Christoph Lehrenfeld, Paul Stocker | Robust finite element discretizations for a simplified Galbrun's equation | Galbrun’s equation, FEM, discontinuous Galerkin, Helmholtz decomposition | ||

528 | 849259 | Elena Bachini, Philip Brandner, Thomas Jankuhn, Michael Nestler, Simon Praetorius, Arnold Reusken, Axel Voigt | Diffusion of tangential tensor fields: numerical issues and influence of geometric properties | finite elements, surface heat equation, tangential tensor fields | ✔ | |

570 | 849255 | Michael Herty, Elisa Iacomini, Giuseppe Visconti | Recent Trends on Nonlinear Filtering for Inverse Problems | ensemble Kalman inversion, nonlinear filtering methods, inverse problems, multi-objective optimization, stability analysis | ✔ | |

569 | 844169 | Giacomo Borghi, Michael Herty, Lorenzo Pareschi | A consensus-based algorithm for multi-objective optimization and its mean-field description | ✔ | ||

531 | 843343 | Michael Herty, Adrian Kolb, Siegfried Müller | Multiresolution-analysis for stochastic hyperbolic conservation laws | Hyperbolic conservation laws · uncertainty quantification · discontinuous Galerkin methods · multiresolution analysis | ✔ | |

568 | 849256 | Michael Herty, Elisa Iacomini | Filtering methods for coupled inverse problems | ✔ | ||

530 | 849257 | Ella Steins, Tan Bui-Thanh, Michael Herty, Siegfried Müller | Probabilistic Constrained Bayesion Inversion for Transpiration Cooling | ✔ | ||

520 | 842298 | Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov | Tangential Navier-Stockes equations on evolving surfaces: Analysis and simulations | Navier-Stokes, surface partial differential equations, well-posedness, trace finite | ✔ | |

603 | 956748 | Markus Bachmayr, Michael Götte, Max Pfeffer | Particle Number Conservation and Block Structures in Matrix Product States | second quantization, particle number conservation, matrix product states, matrix product operators | ✔ | |

567 | 849258 | Alper Yegenoglu, Anand Subramoney, Thorsten Hater, Cristian Jimenez-Romero, Wouter Klijn, Aaron Perez Martin, Michiel van der Vlag, Michael Herty, Abigail Morrison, Sandra Diaz-Pier | Exploring hyper-parameter spaces of neuroscience models on high performance computers with Learning to Learn | simulation, meta learning, hyper-parameter optimization, high performance computing, connectivity generation, parameter exploration | ✔ | |

519 | 841573 | Sven Groß, Arnold Reusken | Analysis of optimal preconditioners for CutFEM | unfitted finite elements, CutFEM, Nitsche method, interface problem, fictitious domain method, preconditioner | ✔ | |

618 | 842155 | Niklas Kolbe, Nikolaos Sfakianakis | An adaptive rectangular mesh administration and refinement technique with application in cancer invasion models | mesh administration; adaptive mesh refinement; finite volume method; hrefinement; cancer invasion | ✔ | |

587 | 960326 | E. Fokken, S. Göttlich, Michael Herty | Efficient simulation of coupled gas and power networks under uncertain demands | sector-coupled energy networks, uncertain demands, numerical simulations | ✔ | |

544 | 842166 | Kevin Rupp, Rudolf Schill, Jonas Süskind, Peter Georg, Maren Klever, Andreas Lösch, Lars Grasedyck, Tilo Wettig, Rainer Spang | Differentiated uniformization: A new method for inferring Markov chains on combinatorial state spaces including stochastic epidemic models | |||

606 | 956706 | Markus Bachmayr, Anthony Nouy, Reinhold Schneider | Approximation by tree tensor networks in high dimensions: Sobolev and compositional functions | |||

566 | 835906 | Giacomo Borghi, Michael Herty, Lorenzo Pareschi | Constrained consensus-based optimization | consensus-based optimization, constrained nonlinear minimization, gradient-free methods, mean-field limit | ✔ | |

526 | 841574 | Saskia Dietze, Martin A. Grepl | Reduced Order Model Predictive Control for Parametrized Parabolic Partial Differential Equations | model predictive control, suboptimality, asymptotic stability, reduced basis method, a posteriori error estimation, model order reduction, partial differential equations, parameter dependent systems | ✔ | |

556 | 811904 | Sara Grundel, Michael Herty | Hyperbolic Discretization via Riemann Invariants | ✔ | ||

518 | 834667 | Philip Brandner, Arnold Reusken, Paul Schwering | On derivations of evolving surface Navier-Stokes equations | surface PDEs, Navier-Stokes on surfaces | ✔ | |

565 | 841575 | Markus Bambach, Stephan Gerster, Michael Herty, Aleksey Sikstel | Description of random level sets by polynomial chaos expansions | Level sets, uncertainty quantification, Hamilton-Jacobi equations, hyperbolic conservation laws, stochastic Galerkin, finite-volume method | ✔ | |

586 | 960324 | Michael Herty, G. Puppo, Giuseppe Visconti | Model of vehicle interactions with autonomous cars and its properties | vehicular traffic, autonomous cars, kinetic equations, BGK models, Chapman-Enskog expansion | ✔ | |

605 | 956705 | Markus Bachmayr, Geneviève Dusson, Christoph Ortner, Jack Thomas | Polynomial Approximation of Symmetric Functions | ✔ | ||

564 | 841576 | Michael Herty, Elisa Iacomini | Uncertainty Quantification in Hierarchical Vehicular Flow Models | traffic flow, BGK models, stochastic Galerkin, Aw-Rascle-Zhang model, kinetic equations | ✔ | |

557 | 811903 | Stephan Gerster, Markus Bambach, Michael Herty, Muhammad Imran | Feedback control for random, linear hyperbolic balance laws | Systems of hyperbolic balance laws, feedback stabilization, Lyapunov function, stochastic Galerkin, viscoplastic deformations | ✔ | |

517 | 822518 | Guoxian Chen, Sebastian Noelle | A unified surface-gradient and hydrostatic reconstruction scheme for the shallow water equations | Saint-Venant system, well-balanced property, positivity preserving property, subcell hydrostatic reconstruction, bottom-surface-gradient method, maximum-minimum property | ✔ | |

516 | 822054 | Sebastian Noelle, Martin Parisot, Tabea Tscherpel | A class of boundary conditions for time-discrete Green-Naghdi equations with bathymetry | shallowwater flow, Green-Naghdi equations, dispersive equations, boundary conditions, prediction correction scheme, projection method, entropy satisfying scheme | ✔ | |

515 | 822053 | Sven Groß, Arnold Reusken | Optimal preconditioners for a Nitsche stabilized fictitious domain finite element method | unfitted finite elements, CutFEM, Nitsche method, fictitious domain method, preconditioner | ||

514 | 820656 | Michael Herty, Adrian Kolb, Siegfried Müller | Higher-dimensional deterministic formulation of hyperbolic conservation laws with uncertain initial data | hyperbolic conservation laws, uncertainty quantification, discontinuous Galerkin methods, stochastic collocation, multiresolution analysis | ||

513 | 819912 | Yannick Holle | Entropy Dissipation at the Junction for Macroscopic Traffic Flow Models | vehicular traffic flow, maximum entropy dissipation, LWR traffix model, scalar conservationlaws, kinetic model, traffic networks | ✔ | |

600 | 956751 | Genevieve Dusson, Markus Bachmayr, Gabor Csanyi, Ralf Drautz, Simon Etter, Cas van der Oord, Christoph Ortner | Atomic Cluster Expansion: Completeness, Efficiency and Stability | ✔ | ||

615 | 821206 | Alessandro Benfenati, Giacomo Borghi, Lorenzo Pareschi | Binary interaction methods for high dimensional global optimization and machine learning | gradient-free methods, global optimization, Boltzmann equation, mean-field limit, consensus-based optimization, machine learning | ✔ | |

561 | 819798 | Stephan Gerster, Michael Herty, Elisa Iacomini | Stability analysis of a hyperbolic stochastic Galerkin formulation for the Aw-Rascle-Zhang model with relaxation | Traffic flow, uncertainty quantification, stability analysis, Aw-Rascle-Zhang model, stochastic Galerkin, Chapman-Enskog expansion | ✔ | |

563 | 819796 | Sara Grundel, Michael Herty | Model-Order Reduction For Hyperbolic Relaxation Systems | hyperbolic relaxation systems; model order reduction; numerical methods | ✔ | |

562 | 819797 | Markus Bambach, Michael Herty, Muhammad Imran | Feedback stabilization of forming processes | Property-Controlled Forming, Stabilization, Lyapunov Function, Viscoplastic Material Models | ✔ | |

512 | 815287 | Philip Brandner, Thomas Jankuhn, Simon Praetorius, Arnold Reusken, Axel Voigt | Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations | surface Stokes equation, trace finite element method (TraceFEM), surface finite element method (SFEM), Taylor-Hood finite elements, stream function formulation, higher order surface approximation | ✔ | |

511 | 814243 | Sven Leyffer, Sebastian Sager, Anna Thünen | State Elimination for Mixed-Integer Optimal Control of PDEs by Semigroup Theory | mixed-integer nonlinear programming, parabolic PDE, optimal control | ||

585 | 811898 | G. Albi, Michael Herty, D. Kalise, Chiara Segala | Moment-Driven Predictive Control of Mean-Field Collective Dynamics | Agent-based dynamics, mean-field equations, optimal feedback control, Riccati equations, nonlinear model predictive control | ✔ | |

510 | 810145 | Václav Kučera, Maria Lukáčová-Medvid‘ová, Sebastian Noelle, Jochen Schütz | Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations | asymptotic preserving schemes, compressible Euler equations, Low-Mach limit Hilbert expansion | ✔ | |

542 | 808864 | Anna Rörich, Tim A. Werthmann, Dominik Göddeke, Lars Grasedyck | Bayesian inversion for electromyography using low-rank tensor formats | inverse problem, parameter-dependent problem, Metropolis-Hastings algorithm, hierarchical Tucker format, EMG | ✔ | |

601 | 960329 | Markus Bachmayr, Henrik Eisenmann, Emil Kieri, André Uschmajew | Existence of dynamical low-rank approximations to parabolic problems | |||

539 | 808857 | Paul B. Rohrbach, Sergey Dolgov, Lars Grasedyck, Robert Scheichl | Rank Bounds for Approximating Gaussian Densities in the Tensor-Train Format | tensor, Tensor-Train, high-dimensional, low rank, Gaussian probability distribution | ✔ | |

525 | 811892 | Nicole Aretz-Nellesen, Peng Chen, Martin A. Grepl, Karen Veroy-Grepl | A sequential sensor selection strategy for hyper-parameterized linear Bayesian inverse problems | ✔ | ||

509 | 805510 | Michael Herty, Sonja Steffensen, Anna Thünen | Multiscale Control of Stackelberg Games | Multi-level Game, Multiscale Control, Stackelberg Game, Nash Equilibrium, Mean-Field Game | ✔ | |

560 | 811899 | Simone Göttlich, Michael Herty, Gediyon Weldegiyorgis | Input-to-state stability of a scalar conservation law with nonlocal velocity | Conservation laws, feedback stabilization, input-to-state stability, numerical approximations, nonlocal velocity | ✔ | |

508 | 805337 | Arnold Reusken | Analysis of finite element methods for surface vector-Laplace eigenproblems | vector-Laplace eigenproblem, surface finite element method, trace finite element method | ✔ | |

507 | 804642 | Yogiraj Mantri, Sebastian Noelle | Well-balanced discontinuous Galerkin scheme for 2 × 2 hyperbolic balance law | well-balanced scheme, discontinuous Galerkin scheme, hyperbolic balance laws, flows on networks | ✔ | |

559 | 811901 | Martin Gugat, Michael Herty | Modeling, Control and Numerics of Gas Networks | Hyperbolic Balance Laws, Stabilization, Exact Controllability, Modeling of Gas Flow, Finite-Volume Schemes, Optimal control, Uncertainty | ✔ | |

598 | 956764 | Markus Bachmayr, Ivan G. Graham, Van Kien Nguyen, Robert Scheichl | Unified Analysis of Periodization-Based Sampling Methods for Matérn Covariances | stationary Gaussian random fields, circulant embedding, periodization, Matérn covariances | ✔ | |

541 | 808851 | Lars Grasedyck, Maren Klever, Christian Löbbert, Tim A. Werthmann | A parameter-dependent smoother for the multigrid method | multigrid, PDEs, parameter-dependent problems, low-rank tensor formats, exponential sums | ||

506 | 794932 | Xiaoqian Gong, Benedetto Piccoli, Giuseppe Visconti | Mean_field limit of a hybrid system for multi-lane multi-class traffic | multi-lane traffic, autonomous vehicles, mean-field limit, hybrid systems, generalized Wasserstain distance | ||

558 | 811902 | Michael Herty, Jonathan Hüser, Uwe Naumann, Thomas Schilden, Wolfgang Schröder | Algorithmic differentiation of hyperbolic flow problems | Conservation laws, algorithmic differentiation, tangent vectors, numerical computation | ✔ | |

505 | 793414 | Dieter Armbruster, Michael Herty, Giuseppe Viscont | A Stabilization of a Continuous Limit of the Ensemble Kalman Filter | dynamical systems, inverse problems, regularization, stabilization, nonlinear filtering methods, moment equations | ✔ | |

553 | 788512 | Yannick Holle, Michael Herty, Michael Westdickenberg | New Coupling Conditions for Isentropic Flow on Networks | ✔ | ||

540 | 808856 | Peter Georg, Lars Grasedyck, Maren Klever, Rudolf Schill, Rainer Spang, Tilo Wettig | Low-rank tensor methods for Markov chains with applications to tumor progression models | marginal distribution, Stochastic Automata Networks, Mutual Hazard Networks | ✔ | |

504 | 792187 | Arnold Reusken, Benjamin Stamm | Analysis of the Schwarz domain decomposition method for the conductor-like screening continuum model | Schwarz domain decomposition method, conductor-like screening continuum model, convergence analysis | ✔ | |

555 | 811906 | Simone Göttlich, Michael Herty, Salissou Moutari, Jennifer Weißen | Second-order traffic flow models on networks | Conservation laws on networks, Aw-Rascle-Zhang model, homogenized pressure | ✔ | |

554 | 811907 | Christian Gebhardt, Torsten Trimborn, Felix Weber, Alexander Bezold, Christoph Broeckmann, Michael Herty | Simplified ResNet approach for data driven prediction of microstructure-fatigue relationship | Deep Neural Network, High Cycle Fatigue, Micromechanics, Shakedown Theorem, Data driven | ✔ | |

503 | 787779 | Stephan Gerster, Michael Herty, Hui Yu | Hypocoercivity of stochastic Galerkin formulations for stabilization of kinetic equations | systems of kinetic and hyperbolic balance laws, exponential stability, asymptotic stability, feedback stabilization | ✔ | |

502 | 824027 | Thomas Jankuhn, Maxim A. Olshanskii , Arnold Reusken, Alexander Zhiliakov | Error analysis of higher order trace finite element methods for the surface stokes equation | surface Stokes equation, trace finite element method, Taylor-Hood finite elements | ✔ | |

551 | 811917 | Michael Herty, Lorenzo Pareschi, Giuseppe Visconti | Mean field models for large data-clustering problems | Data clustering, opinion dynamic, mean field equations, image segmentation, shape detection | ✔ | |

552 | 811908 | Michael Herty, Shi Jin, Yuhua Zhu | Boundary Control of Vlasov--Fokker--Planck Equations | |||

584 | 811909 | Michael Herty, G. Puppo, Giuseppe Visconti | From kinetic to macroscopic models and back | ✔ | ||

583 | 811910 | Max Schwenzer, Giuseppe Visconti, Muzaffer Ay, Thomas Bergs, Michael Herty, Dirk Abel | Identifying trending coefficients with an ensemble Kalman filter | Ensemble Kalman ﬁlter, Recursive least squares, Manufacturing, Milling, Parameter identiﬁcation, Identiﬁcation, Time-invariant identiﬁcation | ✔ | |

501 | 775970 | Valentina König, Siegfried Müller | Effective boundary conditions for transpiration cooling applications | effective boundary conditions, upscaling strategy, transpiration cooling, two-domain approach, compressible flow, porous medium flow | ✔ | |

500 | 775908 | Michael Herty, Torsten Trimborn, Giuseppe Visconti | Kinetic Theory for Residual Neural Networks | Residual neural network, continuous limit, mean field equation, kinetic equation, machine learning application | ||

499 | 775906 | Michael Herty, Siegfried Müller, Aleksey Sikstel | Coupling of Linear Elastic Equations and Compressible Euler Equations and Stiffened Gas | Linear elastic equations, compressible Euler equations, coupling conditions, coupled Riemann problem, Lax curves | ✔ | |

498 | 795642 | Michael Herty, Giuseppe Visconti | Continuous Limits for Constrained Ensemble Kalman Filter | inverse problems, constrained optimization, nonlinear ltering methods, DAE systems, mean-field limit | ✔ | |

529 | 792700 | Sholeh Karimghasemi, Siegfried Müller, Michael Westdickenberg | Flow Solutions of Transport Equations | Measurable selection theorem, non-uniqueness, transport equations | ✔ | |

538 | 787142 | Lars Grasedyck, Lukas Juschka, Christian Löbbert | Finding entries of maximum absolute value in low-rank tensors | |||

582 | 811914 | Michael Herty, A. Tosin, Giuseppe Visconti, M. Zanella | Reconstruction of traffic speed distributions from kinetic models with uncertainties | Kinetic modelling, uncertainty quantification, traffic flow | ✔ | |

595 | 956765 | Markus Bachmayr, Vladimir Kazeev | Stability of Low-Rank Tensor Representations and Structured Multilevel Preconditioning for Elliptic PDEs | elliptic boundary value problems, multilevel preconditioning, tensor decompo- sitions, representation condition number, solver complexity | ✔ | |

497 | 772135 | Mapundi K. Banda, Michael Herty, Torsten Trimborn | Recent developments in controlled crowd dynamics | crowd dynamics, particle systems, control, multiscale control, Ricatti, mean field limit, hydrodynamic limit, instantaneous control, opinion formation, wealth models | ✔ | |

496 | 772133 | Martin Frank, Michael Herty, Torsten Trimborn | Microscopic Derivation of Mean Field Game Models | mean field game, differential game, Nash equilibria, microscopic derivation, dynamic programming principle, scales, mean field limit, Levy-Levy-Solomon model | ||

494 | 811916 | Cory D. Hauck, Michael Herty, Giuseppe Visconti | Qualitative Properties of Mathematical Model for Data Flow | conservation laws, predictive performance | ✔ | |

493 | 768786 | Philip Brandner, Arnold Reusken | Finite element error analysis of surface Stokes equations in stream function formulation | surface Stokes, stream function formulation, error analysis, TraceFEM | ✔ | |

599 | 957675 | Markus Bachmayr, Wolfgang Dahmen | Adaptive Low-Rank Approximations for Operator Equations: Accuracy Control and Computational Complexity | Nonlinear approximation, Tensor formats, low-rank approximation, hard and soft thresholding, high-dimensional diffusion equations, parametric PDEs, approximation classes, a posteriori error bounds, convergence and complexity | ||

495 | Matteo Semplice, Giuseppe Visconti | Efficient implementation of adaptive order reconstructions | CWENOZ-AO, polynomial reconstruction, weighted essentially nonoscillatory, CWENOZ, adaptive order WENO, finite volume schemes, hyperbolic systems, conservation and balance laws | ✔ | ||

492 | 767103 | Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov | Inf-sup stability of the trace P2-P1 Taylor-Hood elements for surface PDEs | surface Stokes problem, trace finite element method, Taylor–Hood elements, material surfaces, fluidic membranes | ✔ | |

491 | 767102 | Thomas Jankuhn, Arnold Reusken | Higher order trace finite element methods for the surface Stokes equation | surface Stokes equation, trace finite element method, Taylor-Hood finite elements | ✔ | |

524 | 811893 | Nicole Aretz-Nellesen, Martin A. Grepl, Karen Veroy-Grepl | 3D-VAR for Parametrized Partial Differential Equations: A Certified Reduced Basis Approach | variational data assimilation · 3D-VAR · model correction · reduced basis method · state estimation · parameter estimation · a posteriori error estimation | ✔ | |

490 | 760379 | Thomas Jankuhn, Arnold Reusken | Trace finite element methods for surface vector-Laplace equations | vector-Laplace, trace finite element method | ✔ | |

547 | 811958 | The icosahedra of edge length 1 | The icosahedra of edge length 1 | Icosahedron, combinatorial geometry, rigidity | ||

489 | 755996 | Michael Herty, Christian Ringhofer | Consistent mean field optimality conditions for interacting agent systems | Kinetic Equations, Particle Systems, Optimal Control, Meanfield Limits | ✔ | |

537 | 811894 | Steffen Kastian, Dieter Moser, Stefanie Reese, Lars Grasedyck | Proper orthogonal decomposition (POD) combined with hierarchical tensor approximation (HTA) in the context of uncertain parameters | MOR, POD, hierarchical tensor approximation (HTA), uncertainty | ||

488 | 752974 | Stephan Gerster, Michael Herty | Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations | Hyperbolic Partial Differential Equations, Uncertainty Quantification, Stochastic Galerkin, Shallow Water Equations, Wellposedness, Entropy | ✔ | |

487 | 752973 | Michael Herty, Gabriella Puppo, S. Roncoroni, Giuseppe Visconti | The BGK approximation of kinetic models for traffic | vehicular traffic, BGK models, Chapman-Enskog expansion, multi-scale models, kinetic equations | ✔ | |

486 | 750573 | André Schlichting | The exchange-driven growth model: Basic properties and longtime behaviour | convergence to equilibrium, exchange-driven growth, entropy method, mean-field equation, zero-range process | ✔ | |

485 | 750503 | Michael Herty, Giuseppe Visconti | Kinetic Methods for Inverse Problems | Kinetic Partial Differential Equations, Nonlinear Filtering Methods, Inverse Problems | ✔ | |

484 | 754231 | Isabella Cravero, Matteo Semplice, Giuseppe Visconti | Optimal definition of the nonlinear weights in multidimensional Central WENOZ reconstructions | central WENOZ (CWENOZ) essentially non-oscillatory reconstructions finite volume schemes smoothness indicators | ✔ | |

597 | 956766 | Markus Bachmayr, Van Kien Nguyen | Identifiability of Diffusion Coefficients for Source Terms of Non-Uniform Sign | Inverse problem, elliptic partial differential equation, identifiability, sets of finite perimeter, Hölder stability | ✔ | |

483 | 745315 | Michael Herty, Siegfried Müller, Aleksey Sikstel | Coupling of compressible Euler equations | Gas networks, compressible Euler equations, isentropic, Euler equations, coupling conditions, coupled Riemann problem, Lax curves | ✔ | |

482 | 731223 | Michael Herty, Sonja Steffensen, Anna Thünen | Solving Quadratic Multi-Leader-Follower Games by Smoothing the Follower’s Best Response | Multi-Leader-Follower Games, Nash Equilibria, Nonsmooth Newton, Subgradient Method, Game Theory, Equilibrium Problems with Equilibrium Constraints | ✔ | |

481 | 730319 | Thomas Ludescher, Sven Groß, Arnold Reusken | A multigrid method for unfitted finite element discretizations of elliptic interface problems | geometric multigrid, unfitted finite elements, interface problem, Nitsche, CutFEM | ✔ | |

550 | 811922 | Giacomo Albi, Michael Herty, Lorenzo Pareschi | Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems | linear multistep methods, optimal control problems, semi–lagrangian schemes, hyperbolic relaxation systems, conservation laws | ✔ | |

480 | 726581 | Yogiraj Mantri, Michael Herty, Sebastian Noelle | Well-balanced scheme for gas-flow in pipeline networks | hyperbolic conservation laws, well-balanced schemes, gas flow networks | ✔ | |

596 | 960328 | Benjamin Arras, Markus Bachmayr, Albert Cohen | Sequential sampling for optimal weighted least squares approximations in hierarchical spaces | weighted least squares, random matrices, optimal sampling measures, hierarchical approximation spaces, sequential sampling | ✔ | |

581 | 710251 | J. Tervo, P. Kokkonen, Martin Frank, Michael Herty | On Existence of L2-solutions of Coupled Boltzmann Continuous Slowing Down Transport Equation System | ✔ | ||

479 | 721172 | Igor Voulis, Arnold Reusken | A Time Dependent Stokes Interface Problem: Well-Posedness and Space-Time Finite Element Discretization | space-time variational saddle point formulation, well-posed operator equation, two-phase flow, XFEM, space-time finite element method, discontinuous galerkin, four-dimensional computations | ✔ | |

478 | 721171 | Arnold Reusken | Stream Function Formulation of Surface Stokes Equations | surface Stokes, surface Helmholtz decomposition, stream function formulation | ✔ | |

477 | 721170 | Stephan Gerster, Michael Herty, Aleksey Sikstel | Hyperbolic Stochastic Galerkin Formulation for the p-System |
Hyperbolic Partial Differential Equations, Uncertainty Quantification, Stochastic Galerkin Method, Euler Equations, Roe Variable Transformation | ✔ | |

476 | 712949 | Klaus Kaiser, Jonas Zeifang, Jochen Schütz, Andrea Beck, Claus-Dieter Munz | Comparison of Different Splitting Techniques for the Isentropic Euler Equations | discontinuous Galerkin spectral element, low Mach, IMEX Runge-Kutta, flux splitting, asymptotic consistency | ||

475 | 712947 | Maxim A. Olshanskii, Annalisa Quaini, Arnold Reusken, Vladimir Yushutin | A Finite Element Method for the Surface Stokes Problem | surface fluid equations, surface stokes problems trace finite element method | ✔ | |

474 | 712673 | Igor Voulis, Arnold Reusken | Discontinuous Galerkin Time Discretization Methods for Parabolic Problems with Linear Constraints | abstract parabolic problem, discontinuous Galerkin methods, discretization of linear constraints, optimal discretization error bounds | ✔ | |

473 | 712672 | Peter Gerds | Solving an Integral Equation Eigenvalue Problem via a New Domain Decomposition Method and Hierarchical Matrices | Automated multi-level substructuring, hierarchical matrices, integral equation eigenvalue problem, domain decomposition method, dense eigenvalue problem | ||

472 | 707794 | Michael Herty, Andrea Tosin, Giuseppe Visconti, Mattia Zanella | Hybrid stochastic kinetic description of two-dimensional traffic dynamics | Boltzmann and Fokker-Planck equations, uncertainty quantification, structure preserving schemes, fundamental diagrams, data dispersion | ✔ | |

536 | 711159 | Lars Grasedyck, Christian Löbbert | Distributed Hierarchical SVD in the Hierarchical Tucker Format | ✔ | ||

471 | 707328 | Michael Herty, Salissou Moutari, Giuseppe Visconti | Macroscopic modeling of multi-lane motorways using a two-dimensional second-order model of traffic flow | traffic flow, macroscopic model, two dimensional model, second-order traffic flow models | ✔ | |

549 | 691493 | Michael Herty, Giuseppe Visconti | Analysis of risk levels for traffic on a multi-lane highway | Traffic flow, multi-lane highways, risk levels, time-to-collision | ✔ | |

470 | 699068 | Sebastian Noelle | On the derivation of the Discontinuous Galerkin method for hyperbolic conservation laws | discontinuous Galerkin method, hyperbolic conservation laws, semi-discrete weak formulation, numerical flux function | ||

469 | 698662 | Sven Groß, Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken | A Trace Finite Element Method for Vector-Laplacians on Surfaces | surface fluid equations, surface vector-Laplacian, trace finite element method | ✔ | |

468 | 696340 | Stephan Gerster, Michael Herty | Discretized Feedback Control for Hyperbolic Balance Laws | Lyapunov function, Feedback stabilization, Systems of balance laws, isothermal Euler equations, shallow water equations | ✔ | |

467 | 696211 | Klaus Kaiser, Jochen Schütz | Asymptotic Error Analysis of an IMEX Runge-Kutta method | Order reduction, RS-IMEX, IMEX Runge-Kutta, singularly perturbed equation, asymptotic convergence order | ✔ | |

594 | 956771 | Markus Bachmayr, Albert Cohen, Dinh Dũng, Christoph Schwab | Fully discrete approximation of parametric and stochastic elliptic PDEs | affine coefficients, lognormal coefficients, sparse tensor product polynomials, n-term approximation, wavelets, finite elements | ✔ | |

466 | 691493 | Michael Herty, Giuseppe Visconti | A two-dimensional data-driven model for traffic flow on highways | traffic flow, macroscopic model, two dimensional model, trajectory data, validation, data fitting | ✔ | |

465 | 690017 | Jonas Zeifang, Klaus Kaiser, Andrea Beck, Jochen Schütz, Claus-Dieter Munz | Efficient high-order discontinuous Galerkin computations of low Mach number flows | discontinuous Galerkin, IMEX-Runge-Kutta, low Mach number, splitting, asymptotic preserving | ✔ | |

464 | 686508 | Eduard Bader, Mark Kärcher, Martin A. Grepl, Karen Veroy | Certified reduced basis methods for parametrized distributed elliptic optimal control problems with control constraints | optimal control, reduced basis method, a posteriori error estimation, model order reduction, parameter-dependent systems, partial differential equations, elliptic problems, control constraints | ✔ | |

463 | 686507 | Mark Kärcher, Sébastien Boyaval, Martin A. Grepl, Karen Veroy | Reduced basis approximation and a posteriori error bounds for 4D-Var data assimilation | variational data assimilation, 4D-Var, strong-constraint 4D-Var, weak-constraint 4D-Var, reduced-order models, reduced basis method, a posteriori error estimation, PDE-constrained optimization, parameter estimation | ✔ | |

462 | 684329 | Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken | Incompressible Fluid Problems on Embedded Surfaces: Modeling and Variational Formulations | surface PDEs, Navier-Stokes on surfaces | ✔ | |

461 | 711138 | Lars Grasedyck, Sebastian Krämer | Stable ALS Approximation in the TT-Format for Rank-Adaptive Tensor Completion | tensor completion, MPS, tensor train, TT, hierarchical Tucker, HT, alternating optimization, ALS, high-dimensional, low rank, SVD, ill-posedness, stability | ✔ | |

460 | 678494 | Maxim A. Olshanskii, Arnold Reusken | Trace Finite Element Methods for PDEs on Surfaces | trace finite elements, PDEs on surfaces, unfitted finite elements | ✔ | |

459 | 674397 | Christoph Lehrenfeld, Arnold Reusken | High Order Unfitted Finite Element Methods for Interface Problems and PDEs on Surfaces | unfitted finite element method, isoparametric finite element method, interface problems, surface PDEs | ✔ | |

458 | 674007 | Michael Herty, Siegfried Müller, Nils Gerhard, Gaoming Xiang, Bing Wang | Fluid-structure coupling of linear elastic model with compressible flow models | fluid-structure interaction, coupling conditions, linear elastic model, compressible flow | ✔ | |

457 | 674005 | Jörg Grande, Christoph Lehrenfeld, Arnold Reusken | Analysis of a high order trace finite element method for PDEs on level set surfaces | trace finite element method, isoparametric finite element method, high order methods, geometry errors, conditioning, surface PDEs | ✔ | |

456 | 667672 | Klaus Kaiser, Jochen Schütz | A high-order method for weakly compressible flows | asymptotic preserving, isentropic incompressible Euler, isentropic compressible Euler, RS-IMEX, IMEX Runge-Kutta, discontinuous Galerkin, low Mach | ✔ | |

455 | 660974 | Hamed Zakerzadeh | Asymptotic analysis of the RS-IMEX scheme for the shallow water equations in one space dimension | IMEX scheme, asymptotic preserving, flux splitting, stability analysis | ✔ | |

454 | 660973 | Markus Bachmayr, Albert Cohen, Wolfgang Dahmen | Parametric PDEs: Sparse or low-rank approximations? | parameter-dependent PDEs, low-rank approximations, sparse polynomial expansions, a posteriori error estimates, adaptive methods, complexity bounds | ✔ | |

453 | 659956 | Elizabeth Qian, Martin Grepl, Karen Veroy, Karen Willcox | A certified trust region reduced basis approach to PDE-constrained optimization | model reduction, optimization, trust region methods, partial differential equations, reduced basis methods, error bounds, parametrized systems | ✔ | |

452 | 659954 | Robert, O'Connor, Martin Grepl | Offline Error Bounds for the Reduced Basis Method | reduced basis methods, greedy sampling, parameter dependent systems, error bounds, offline-online decomposition | ✔ | |

591 | 956774 | Markus Bachmayr, Albert Cohen, Giovanni Migliorati | Sparse polynomial approximation of parametric elliptic PDEs. Part I: affine coefficients | parametric PDEs, affine coefficients, n-term approximation, Legendre polynomials | ✔ | |

451 | 573980 | Michael Herty, Hui Yu | Feedback boundary control of linear hyperbolic equations with stiff source term | stabilization, feedback boundary control, hyperbolic system, stiff source term | ✔ | |

450 | Christoph Lehrenfeld, Arnold Reusken | L2-Estimates for a High Order Unfitted Finite Element Method for Elliptic Interface Problems | unfitted finite element method, isoparametric finite element method, high order methods, geometry errors, interface problems, Nitsche's method | ✔ | ||

449 | 660975 | Hamed Zakerzadeh, Sebastian Noelle | A note on the stability of implicit-explicit flux splittings for stiff hyperbolic systems | stiff hyperbolic systems, flux-splitting, IMEX scheme, asymptotic preserving (AP) property, modified equation, stability analysis | ✔ | |

593 | 956768 | Markus Bachmayr, Albert Cohen, Giovanni Migliorati | Representations of Gaussian random fields and approximation of elliptic PDEs with lognormal coefficients | Gaussian random fields, Lognormal diffusion problems, Periodic continuation, Karhunen–Loève expansions, Wavelets | ✔ | |

448 | 569834 | Felix Gruber, Angela Klewinghaus, Olga Mula | The DUNE-DPG library for solving PDEs with Discontinuous Petrov–Galerkin finite elements | discontinuous Petrov–Galerkin; partial differential equations; inf-sup stability; transport equation; finite elements; DUNE | ✔ | |

447 | 568163 | Michael Rom, Karl-Heinz Brakhage, Sebastian Barth, Christian Wrobel, Patrick Mattfeld, Fritz Klocke | Mathematical modeling of ceramic bond bridges in grinding wheels | ceramic bond bridges, vitrified grinding wheels, mathematical modeling, Cubic Boron Nitride (CBN) | ✔ | |

446 | 567869 | Karl-Heinz Brakhage | Analytical investigations for the design of fast approximation methods for fitting curves and surfaces to scattered data | splines, multivariate approximation, least squares, fairing, numerical analysis, numerical linear algebra | ✔ | |

445 | 567870 | Christoph Lehrenfeld, Arnold Reusken | Analysis of a High Order Unfitted Finite Element Method for Elliptic Interface Problems | unfitted finite element method, isoparametric finite element method, high order methods, geometry errors, interface problems, Nitsche's method | ✔ | |

444 | 567871 | Karl-Heinz Böhm , Mike Espig, Alexander A. Auer | Tensor Representation Techniques for Full Configuration Interaction: A Fock Space Approach Using the Canonical Product Format | Quantum chemistry, Full configuration interaction, Energy use and applications, Robust approximation, Optimization problems, Leptons, Hilbert space, Operator theory, Occupation number, Schrodinger equations | ✔ | |

443 | 567333 | Giulia Deolmi, Wolfgang Dahmen, Siegfried Müller | Effective boundary conditions: a general strategy and application to compressible flows over rough boundaries | homogenization, upscaling strategy, effective boundary conditions, Navier wall law, compressible flow | ✔ | |

442 | 566634 | Klaus Kaiser, Jochen Schütz, Ruth Schöbel, Sebastian Noelle | A new stable splitting for the isentropic Euler equations | flux splitting, isentropic Euler equations, low Mach, IMEX, reference solution | ✔ | |

441 | 565803 | Wolfgang Dahmen, Gitta Kutyniok, Wang-Q Lim, Christoph Schwab, Gerrit Welper | Adaptive Anisotropic Petrov-Galerkin Methods for First Order Transport Equations | linear transport problems, L2 -stable Petrov-Galerkin formulations, δ-proximality, adaptive refinements, anisotropic discretizations, best N -term approximation | ✔ | |

440 | 565174 | Guoxian Chen, Sebastian Noelle | A new hydrostatic reconstruction scheme motivated by the wet-dry front | shallow water equations, water at rest, well balanced property, wet-dry front, nonconservative products of measures | ✔ | |

546 | 811896 | Lars Grasedyck, Melanie Kluge, Sebastian Krämer | Alternating Least Squares Tensor Completion in The TT-Format | MPS, Tensor Completion, Tensor Train, TT, Hierarchical Tucker, HT, ALS | ✔ | |

439 | 561901 | Jochen Schütz, Vadym Aizinger | A hierarchical scale separation approach for the hybridized discontinuous Galerkin method | hybridized discontinuous Galerkin method, hierarchical scale separation, convection-diffusion equation, p-multigrid method | ✔ | |

438 | 560962 | Karl-Heinz Brakhage | Fast Approximation Methods for Fitting Surfaces to Unorganized Point Clouds | Splines, Multivariate Approximation, Fairing, Numerical Analysis, Numerical Linear Algebra | ||

437 | 560848 | Michael Rom, Karl-Heinz Brakhage, Sebastian Barth, Christian Wrobel, Patrick Mattfeld, Fritz Klocke | Mathematical Modeling of Ceramic-Bonded Grinding Wheel Structures | Mathematical Grinding Wheel Modeling, Granular Structures, Ceramic Bond, CBN | ✔ | |

436 | 540754 | Jörg Grande | Red-Green Refinement of Simplicial Meshes in D Dimensions | mesh refinement, red-green refinement, green closure, simplicial meshes | ||

435 | 540615 | Alexander Jaust, Jochen Schütz and David C. Seal | Implicit multistage two-derivative discontinuous Galerkin schemes for viscous conservation law | discontinuous Galerkin method, multiderivative time integration, convection-diffusion equation, hybridized discontinuous Galerkin method | ✔ | |

434 | 540256 | Sonja Steffensen | Runge-Kutta Schemes for Numerical Discretization of Bilevel Optimal Control Problems | Runge-Kutta schemes, optimal control, bilevel program, hierarchical optimal control, game theory | ||

433 | 540006 | Dirk Broersen, Wolfgang Dahmen and Rob P. Steveson | On the Stability of DPG Formulations of Transport Equations | Discontinuous Petrov Galerkin-formulation of transport equations, optimal and near-optimal test spaces, stability | ✔ | |

432 | 540005 | Arnold Reusken, Xianmin Xu, Liang Zhang | Finite Element Methods for a Class of Continuum Models for Immiscible Flows with Moving Contact Lines | moving contact line, General Navier Boundary Condition(GNBC), sharp interface, level set, Nitsche's method, extended finite element method | ✔ | |

592 | 956772 | Markus Bachmayr, Albert Cohen, Ronald DeVore, Giovanni Migliorati | Sparse polynomial approximation of parametric elliptic PDEs. Part II: lognormal coefficients | stochastic PDEs, lognormal coefficients, n-term approximation, Hermite polynomials | ✔ | |

431 | 534423 | Mapundi K. Banda, Axel-Stefan Häck and Michael Herty | Numerical Discretization of Coupling Conditions by High-Order Schemes | numerical methods, higher-order coupling, networks of fluid dynamics | ✔ | |

535 | 811896 | Lars Grasedyck, Melanie Kluge, Sebastian Krämer | Model adaptation for hyperbolic balance laws | |||

430 | 481391 | Bahodir Ahmedov, Martin A. Grepl, Michael Herty | Certified Reduced Order Methods for Optimal Treatment Planning | optimal radiotherapy, reduced basis methods, a posteriori error estimation, PN - methods, mixed variational formulation | ✔ | |

429 | 481389 | Eduard Bader, Martin A. Grepl, Siegfried Müller | A Static Condensation Reduced Basis Element Approach for the Reynolds Lubrication Equation | Reynolds lubrication equation, static condensation, domain decomposition, model order reduction, reduced basis element method, a posteriori error estimation | ✔ | |

428 | 481093 | Michael Herty, Wen-An Yong | Feedback boundary control of linear hyperbolic systems with relaxation | Stabilisation, Hyperbolic relaxation systems, Lyapunov methods, Feedback boundary control | ✔ | |

427 | 479655 | Kolja Brix, Yasemin Hafizogullari, Andreas Platen | Designing Illumination Lenses and Mirrors by the Numerical Solution of Monge-Ampère Equations | inverse refractor problem, inverse reflector problem, elliptic Monge-Ampère equation, B-spline collocation method, Picard-type iteration | ✔ | |

426 | 479397 | Albert Cohen, Wolfgang Dahmen, Ronald DeVore | Orthogonal Matching Pursuit under the Restricted Isometry Property | orthogonal matching pursuit, best n term approximation, instance optimality, restricted isometry property | ✔ | |

425 | 479396 | Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk | Data Assimilation in Reduced Modeling | optimal recovery, reduced modeling, greedy algorithms | ✔ | |

424 | 478845 | Sven Groß, Thomas Ludescher, Maxim Olshanskii, Arnold Reusken | Robust Preconditioning for XFEM Applied to Time-Dependent Stokes Problems | Schur complement preconditioning, Stokes equations, interface problem, extended finite elements, stabilization | ✔ | |

423 | 478516 | Mike Espig, Wolfgang Hackbusch, Aram Khachatryan | On the Convergence of Alternating Least Squares Optimisation in Tensor Format Representations | tensor format, tensor representation, tensor network, alternating least squares optimisation, orthogonal projection method | ||

422 | 466268 | Hamed Zakerzadeh | On the Mach-Uniformity of Lagrange-Projection Scheme | All-Mach number scheme, Lagrange-projection scheme, asymptotic preserving scheme, stability analysis | ✔ | |

420 | 464396 | Matthias Kirchhart, Sven Groß, Arnold Reusken | Analysis of an XFEM Discretization for Stokes Interface Problems | Stokes equations, interface problem, extended finite element space, preconditioning, Schur complement | ✔ | |

419 | 464321 | Jörg Grande | Analysis of Highly Accurate Finite Element Based Algorithms For Computing Distances To Level Sets | finite elements, level sets, quasi-distance, gradient recovery, semismooth Newton method, convergence analysis | ✔ | |

418 | 463936 | Michael Herty | Stabilisation of hyperbolic conservation laws using conservative finite-volume schemes | stabilisation, finite-volume schemes, Lyapunov methods, boundary control, hyperbolic conservation laws | ||

417 | 463808 | Jochen Schütz, Klaus Kaiser | A new stable splitting for singularly perturbed ODEs | IMEX, splittings, van der Pol equation, stiff equations | ✔ | |

590 | 957064 | Markus Bachmayr, Albert Cohen | Kolmogorov widths and low-rank approximations of parametric elliptic PDEs | ✔ | ||

589 | 956773 | Markus Bachmayr, Reinhold Schneider | Iterative Methods Based on Soft Thresholding of Hierarchical Tensors | Low-rank tensor approximation, Hierarchical tensor format, Soft thresholding, High-dimensional elliptic problems | ✔ | |

416 | 463811 | Wolfgang Dahmen | How to Best Sample a Solution Manifold? | tight surrogates, stable variational formulations, saddle point problems, double greedy schemes, greedy stabilization, rate-optimality, transport equations, convection-diffusion equations | ✔ | |

415 | 463812 | Markus Bachmayr, Wolfgang Dahmen | Adaptive Low-Rank Methods for Problems on Sobolev Spaces with Error Control in L 2 | low-rank tensor approximation, adaptive methods, high-dimensional elliptic problems, preconditioning, computational complexity | ✔ | |

414 | 460405 | Siegfried Müller, Maren Hantke, Pascal Richter | Closure conditions for non-equilibrium multi-component models | multi-component flows, entropy, relaxation, phase transition, closure conditions, hyperbolicity, subcharacteristic property, Galilean invariance | ✔ | |

413 | 443050 | Christoph Lehrenfeld, Arnold Reusken | Finite Element Techniques for the Numerical Simulation of Two-Phase Flows with Mass Transport | two-phase flow, mass transport, XFEM, Nitsche method, space-time finite element method | ||

412 | 443048 | Mike Espig, Aram Khachatryan | Convergence of Alternating Least Squares Optimisation for Rank-One Approximation to High Order Tensors | tensor format, tensor representation, tensor network, alternating least squares optimisation, orthogonal projection method | ||

411 | 443043 | Nils Gerhard , Daniel Caviedes-Voullième, Siegfried Müller, Georges Kesserwani | Multiwavelet-Based Grid Adaptation with Discontinuous Galerkin Schemes for Shallow Water Equations | grid adaptivity, multiresolution analysis, multiwavelets, discontinuous Galerkin, shallow water flows, positivity-preserving, well-balancing, limiters, shock detection | ✔ | |

410 | 443035 | Alexander Jaust, Jochen Schütz, Michael Woopen | An HDG Method for unsteady compressible ﬂows | CFD, hybridized discontinuous Galerkin, shock-capturing | ✔ | |

409 | 443034 | Ee Han, Maren Hantke, Siegfried Müller | Modeling of multi-component flows with phase transition and application to collapsing bubbles | multi-component fluids, non-equilibrium model, phase transition, relaxation process, bubble collapse | ✔ | |

408 | 443032 | Louis Forestier-Coste, Simone Göttlich, Michael Herty | Data-Fitted Second-Order Macroscopic Production Models | production systems, system of conservation laws, data ﬁtting | ✔ | |

407 | 443027 | Dieter Armbruster, Michael Herty, Xinping Wang, Lindu Zhao | Integrating Release and Dispatch Policies in Production Models Based on Clearing Functions | production planning, dispatch control, partial differential equations, reentrant production | ✔ | |

406 | 443006 | Christoph Lehrenfeld, Arnold Reusken | Optimal preconditioners for Nitsche-XFEM discretizations of interface problems | ellitic interface problem, extended ﬁnite element space, XFEM, unfitted finite element method, Nitsche method, preconditioning, space decomposition | ✔ | |

405 | 442958 | Michael Herty, Christian Ringhofer | Large-Time Behavior of Averaged Kinetic Models on Networks | network dynamics, kinetic theory, asymptotic analysis | ✔ | |

404 | 443021 | Markus Bachmayr, Wolfgang Dahmen | Adaptive Low-Rank Methods: Problems on Sobolev Spaces | low-rank tensor approximation, adaptive methods, high-dimensional elliptic problems, preconditioning, computational complexity | ✔ | |

403 | 442970 | Jörg Grande, Arnold Reusken | A Higher Order Finite Element Method for Partial Diﬀerential Equations on Surfaces | Laplace Beltrami equation, surface ﬁnite element method, high order, gradient recovery, error analysis | ✔ | |

402 | 443019 | Mark Kärcher, Martin Grepl, Karen Veroy | Certiﬁed Reduced Basis Methods for Parametrized Distributed Optimal Control Problems | optimal control, reduced basis method, a posteriori error estimation, model order reduction, parameter-dependent systems, partial differential equations, elliptic problems | ||

401 | 442964 | Mohammad Rasty, Martin Grepl | A Certiﬁed Reduced Basis Method for Parametrized Quadratically Nonlinear Diffusion Equations | reduced basis method, model order reduction, parametrized partial differential equations, a posteriori error estimation, nonlinear diffusion equation | ||

400 | 443026 | Wolfgang Dahmen, Ronald Devore, Lars Grasedyck, Endre Süli | Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations | high-dimensional elliptic PDEs, tensor sparsity models, regularity theorems, exponential sums of operators, Dunford integrals, complexity bounds | ✔ | |

399 | 443029 | Alexander Jaust, Jochen Schütz, Michael Woopen | A Hybridized Discontinuous Galerkin Method for Unsteady Flows with Shock-Capturing | hybridized discontinuous Galerkin, instationary convection-diffusion equations, shock-capturing, mesh adaptation | ✔ | |

398 | 230490 | Sven Groß, Maxim A. Olshanskii, Arnold Reusken | A Trace Finite Element Method for a Class of Coupled Bulk-Interface Transport Problemes | coupled bulk-surface problems, trace ﬁnite elements, surfactant transport | ✔ | |

397 | 230493 | Michael Herty, Lena Michailidis, Marcus Ziegler | Kinetic Part-Feeding Models for Assembly Lines in Automotive Industries | network dynamics, kinetic theory, asymptotic analysis | ✔ | |

396 | 229989 | Kolja Brix, Yasemin Hafizogullari, Andreas Platen | Solving the Monge-Ampère Equations for the Inverse Reflector Problem | inverse reﬂector problem, elliptic Monge-Ampère equation, B-spline collocation method, Picard-type iteration | ✔ | |

395 | 230046 | Giulia Deolmi, Wolfgang Dahmen, Siegfried Müller | Effective Boundary Conditions for Compressible Flows over Rough Boundaries | homogenization, Navier wall law, compressible ﬂow, upscaling strategy, effective problem | ✔ | |

394 | 230021 | Michael Herty, Benedetto Piccoli | Numerical Method for the Computation of Tangent Vectors to Hyperbolic Systems of Conservation Laws | conservation laws, optimization, tangent vectors | ✔ | |

393 | 230254 | Jutta Adelsberger, Patrick Esser, Michael Griebel, Sven Groß, Margit Klitz, Alexander Rüttgers | 3D Incompressible Two-Phase Flow Benchmark Computations for Rising Droplets | two-phase flow, benchmark simulations, three-dimensional computations, parallel computing, rising droplets | ||

392 | 230363 | Melanie Kluge | Sampling Rules for Tensor Reconstruction in Hierarchical Tucker Format | tensor completion, tensor approximation, tensor train | ||

391 | 230368 | Hamed Zakerzadeh, Ulrik S. Fjordholm | High-Order Accurate, Fully Discrete Entropy Stable Schemes for Scalar Conservation Laws | conservation laws, entropy stable schemes, fully discrete schemes | ✔ | |

390 | 230361 | Peter Gerds, Lars Grasedyck | Solving an Elliptic PDE Eigenvalue Problem via Automated Multi-Level Substructuring and Hierarchical Matrices | automated multi-level substructuring, hierarchical matrices, elliptic PDE eigenvalue problem | ✔ | |

389 | 230287 | Georgij Bispen, Koottungal Revi Arun, Maria Lukáčová-Medviďová, Sebastian Noelle | IMEX Large Time Step Finite Volume Methods for Low Froude Number Shallow Water Flows | low Froude number ﬂows, asymptotic preserving schemes, shallow water equations, large time step, semi-implicit approximation, evolution Galerkin schemes | ✔ | |

388 | 230304 | Wolfgang Dahmen, Chunyan Huang, Gitta Kutyniok, Wang-Q Lim, Christoph Schwab, Gerrit Welper | Efficient Resolution of Anisotropic Structures | Shearlets, anisotropic meshes, parametric transport equations, Petrov-Galerkin formulations, δ-proximality, high-dimensional problems, adaptivity, reduced basis methods, sparse tensor interpolation and approximation | ✔ | |

387 | 230002 | Arnold Reusken | Analysis of Trace Finite Element Methods for Surface Partial Differential Equations | trace ﬁnite elements, error analysis, elliptic surface equation | ✔ | |

386 | 230000 | Jörg Grande, Maxim A. Olshanskii, Arnold Reusken | A Space-Time FEM for PDES on Evolving Surfaces | evolving surface, diffusion, space-time ﬁnite elements, discontinuous Galerkin | ||

385 | 229997 | Jonas Ballani, Lars Grasedyck | Hierarchical Tensor Approximation of Output Quantities of Parameter-Dependent PDEs | hierarchical Tucker, low rank tensor, SPDE, cross approximation, sampling | ✔ | |

384 | 230298 | Carsten Gräser, Oliver Sander | Truncated Nonsmooth Newton Multigrid Methods for Simplex-Constrained Minimization Problems | multigrid, simplex constraints, phase-ﬁeld models, convex minimization | ||

383 | 230295 | Oliver Sander | Substructuring Methods in Nonlinear Function Spaces | substructuring, manifold-valued functions, Cosserat shells, Neumann-Neumann method | ✔ | |

382 | 229964 | Sebastian Noelle, Jochen Schütz | Flux Splitting: A Notion on Stability | IMEX finite volume, asymptotic preserving, flux splitting, modified equation, stability analysis | ✔ | |

381 | 230422 | Christian Windisch, Birgit Reinartz, Siegfried Müller | Investigation of the Unsteady Edney Type IV and VII Shock–Shock Interaction | Hypersonic ﬂows, shock-shock interaction, grid adaptation, thermochemical nonequilibrium | ✔ | |

380 | 229992 | Jörg Grande | Finite Element Discretization Error Analysis of a General Interfacial Stress Functional | two phase flow, variable interfacial tension, interfacial stress tensor, finite elements | ✔ | |

379 | 230299 | Patrick Esser, Jörg Grande | An Accurate and Robust Finite Element Level Set Redistancing Method | level set method, redistancing, reinitialization | ✔ | |

378 | 230395 | Kolja Brix, Claudio Canuto, Wolfgang Dahmen | Legendre-Gauss-Lobatto Grids and Associated Nested Dyadic Grids | Legendre-Gauss-Lobatto grid, dyadic grid, graded grid, nested grids | ✔ | |

377 | 230375 | Christoph Lehrenfeld | The Nitsche XFEM-DG Space-Time Method and its Implementation in Three Space Dimensions | finite elements, evolving surface, parabolic PDE, space-time, two-phase flow, computations, XFEM, 4D quadrature, discontinuous galerkin | ✔ | |

376 | 230445 | Maxim A. Olshanskii, Arnold Reusken | Error Analysis of a Space-Time Finite Element Method for Solving PDES on Evolving Surfaces | evolving surface, space-time finite elements, discontinuous Galerkin | ✔ | |

375 | 230143 | Nils Gerhard, Siegfried Müller | Adaptive Multiresolution Discontinuous Galerkin Schemes for Conservation Laws: Multi-Dimensional Case | discontinuous Galerkin methods, grid adaptivity, multiwavelets, multiresolution analysis, conservation laws | ✔ | |

374 | 230274 | Wolfgang Dahmen, Thomas Gotzen, Siegfried Müller | Numerical Simulation of Transpiration Cooling through Porous Material | Transpiration cooling, porous media flow, Darcy-Forchheimer equation, coupled finite element - finite volume schemes | ✔ | |

373 | 230466 | Michael Woopen, Georg May, Jochen Schütz | Adjoint-Based Error Estimation and Mesh Adaptation for Hybridized Discontinuous Galerkin Methods | discontinuous Galerkin methods, hybridization, mesh adaptation, adjoint-based error-estimation, compressible flow | ✔ | |

372 | 230401 | Michael Woopen, Aravind Balan, Georg May, Jochen Schütz | A Comparison of Hybridized and Standard DG Methods for Target-Based hp-Adaptive Simulation of Compressible Flow | discontinuous Galerkin methods, hybridization, hp-adaptation, adjoint-based error-estimation, compressible flow | ✔ | |

371 | 230470 | Giacomo Albi, Michael Herty, Christian Jörres, Lorenzo Pareschi | Asymptotic Preserving Time-Discretization of Optimal Control Problems for the Goldstein-Taylor Model | IMEX Runge-Kutta methods, optimal boundary control, hyperbolic conservation laws, asymptotic analysis | ✔ | |

370 | 230058 | Alexander Jaust, Jochen Schütz | A Temporally Adaptive Hybridized Discontinuous Galerkin Method for Instationary Compressible Flows | hybridized discontinuous Galerkin, embedded diagonally implicit Runge-Kutta methods, instationary convection-diffusion equations | ✔ | |

369 | 230468 | Pierre Degond, Michael Herty, Jian-Guo Liu | Flow on Sweeping Networks | Master equation, cellular automata, pedestrian dynamics, networks | ✔ | |

368 | 230483 | Jörn Thies Frings | Viscous Sublayering for Shallow Water Flows | multilayer flows, shallow water, approximate Riemann solvers, finite volume method, viscosity, friction | ||

367 | 230408 | Jonas Ballani, Lars Grasedyck | Tree Adaptive Approximation in the Hierarchical Tensor Format | hierarchical tensor format, hierarchical Tucker format, tensor train, matrix product states, black box approximation, tree adaptivity | ✔ | |

366 | 230456 | Jochen Schütz | A Demonstration of the Advantage of Asymptotic Preserving Schemes over Standard Finite Volume Schemes | conservation laws, asymptotic methods, finite volume methods, finite element methods | ✔ | |

365 | 230467 | Philipp Grohs, Hanne Hardering, Oliver Sander | Optimal A Priori Discretization Error Bounds for Geodesic Finite Elements | geodesic finite elements, discretization error, a priori bounds | ✔ | |

364 | 230476 | Feng Zhou, Guoxian Chen, Sebastian Noelle, Huai-Cheng Guo | A Well-Balanced Stable GRP Scheme for Adaptive Unstructured Triangular Meshes | shallow water equations, generalized Riemann problem, adaptive unstructured meshes, well-balanced scheme, hydrodynamic process | ✔ | |

362 | 230371 | Maxim A. Olshanskii, Arnold Reusken, Xianmin Xu | An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces | evolving surface, space-time finite element, discontinuous Galerkin | ✔ | |

361 | 230475 | Mark Kärcher, Martin Grepl | A Posteriori Error Estimation for Reduced Order Solutions of Parametrized Parabolic Optimal Control Problems | optimal control, reduced basis method, a posteriori error estimation, model order reduction, parameter-dependent systems, partial differential equations, parabolic problems | ✔ | |

360 | 230369 | Jörg Grande | Eulerian Finite Element Methods for Parabolic Equations on Moving Surfaces | finite elements, evolving surface, parabolic PDE, space-time, two-phase flow, surfactant, computations | ✔ | |

363 | 230447 | Markus Bachmayr, Wolfgang Dahmen | Adaptive Near-Optimal Rank Tensor Approximation for High-Dimensional Operator Equations | low-rank tensor approximation, adaptive methods, high-dimensional operator equations, computational complexity | ✔ | |

359 | 230040 | Elias Pipping, Oliver Sander, Ralf Kornhuber | Variational Formulation of Rate- and State-Dependent Friction Problems | Continuum mechanics, frictional contact problems, gradient flows, finite elements | ✔ | |

358 | 230329 | Heiko Berninger, Ralf Kornhuber, Oliver Sander | A Multidomain Discretization of the Richards Equation in Layered Soil | Richards equation, domain decomposition, layered soil, nonlinear discretization, robustness, surface water | ✔ | |

421 | 465339 | Markus Bachmayr, Wolfgang Dahmen, Ronald DeVore, Lars Grasedyck | Approximation of High-Dimensional Rank One Tensors | query algorithms, high-dimensional approximation, separable functions, rate of approximation | ✔ | |

357 | 230477 | Wolfgang Dahmen, Christian Plesken, Gerrit Welper | Double Greedy Algorithms: Reduced Basis Methods for Transport Dominated Problems | tight surrogates, stable variational formulations, saddle point problems, double greedy schemes, greedy stabilization, rate-optimality, transport equations, convection-diffusion equations. | ✔ | |

356 | 230325 | Oliver Sander | Geodesic Finite Elements of Higher Order | Geodesic finite elements, higher order, manifold, Riemannian center of mass, signed measure, liquid crystals, unit sphere | ✔ | |

355 | 230485 | Kolja Brix, Martin Campos Pinto, Claudio Canuto, Wolfgang Dahmen | Multilevel Preconditioning of Discontinuous-Galerkin Spectral Element Methods Part I: Geometrically Conforming Meshes | discontinuous Galerkin discretization for elliptic problems, interior penalty method, locally refined meshes, variable polynomial degrees, auxiliary space method, Gauß–Lobatto grids, dyadic grids. | ✔ | |

354 | 230481 | Eva Loch | Analysis of a Discontinuous Galerkin Method Applied to the Level Set Equation | finite element, Discontinuous Galerkin, upwind flux, level set method | ||

352 | 230392 | Koottungal Revi Arun, Sebastian Noelle | An Asymptotic Preserving Scheme for Low Froude Number Shallow Flows | shallow water equations, low Froude number limit, stiffness, semi-implicit time discretisation, flux decomposition, asymptotic preserving schemes | ||

351 | 230499 | Koottungal Revi Arun, Guoxian Chen, Sebastian Noelle | A Finite Volume Evolution Galerkin Scheme for Acoustic Waves in Heterogeneous Media | heterogeneous media, acoustic waves, finite volume methods, evolution Galerkin scheme, hyperbolic conservation laws, bicharacteristics. | ||

350 | 230405 | Jochen Schütz, Michael Woopen, Georg May | A Combined Hybridized Discontinuous Galerkin / Hybrid Mixed Method for Viscous Conservation Laws | hybridized discontinuous Galerkin method, hybrid mixed method, viscous conservation laws, time-discretization, backward difference schemes | ||

349 | 47297 | Heiko Berninger, Sébastien Loisel , Oliver Sander | The 2-Lagrange Multiplier Method Applied to Nonlinear Transmission Problems for the Richards Equation in Heterogeneous Soil with Cross Points | Richards equation, 2-Lagrange-Multiplier method,cross points, domain decomposition, monotone multigrid, optimized Schwarz method | ✔ | |

348 | 47308 | Sebastian Noelle, Georgij Bispen, Koottungal Revi Arun, Maria Lukáčová-Medviďová, Claus-Dieter Munz | An Asymptotic Preserving all Mach Number Scheme for the Euler Equations of Gas Dynamics - second revised version (October 2014) | Euler equations of gas dynamics, low Mach number limit, stiffness, semi-implicit time discretisation, flux decomposition, asymptotic preserving schemes. | ✔ | |

347 | 47337 | Maxim A. Olshanskii, Arnold Reusken and Xianmin Xu | On Surface Meshes Induced by Level Set Functions | surface finite elements, level set function, surface triangulation, maximum angle condition | ✔ | |

346 | 47336 | Arnold Reusken | A Finite Element Level Set Redistancing Method Based on Gradient Recovery | level set method, reinitialization, redistancing, gradient recovery | ✔ | |

345 | 47091 | Arnold Reusken, Yuanjun Zhang | Numerical Simulation of Incompressible Two-Phase Flows with a Boussinesq-Scriven Interface Stress Tensor | two-phase flow, viscous interface, Boussinesq-Scriven law | ✔ | |

344 | 47301 | Maxim A. Olshanskii, Arnold Reusken, Xianmin Xu | A Stabilized Finite Element Method for Advection-Diffusion Equations on Surfaces | surface PDE, finite element method, transport equations, advection-diffusion equation, SUPG stabilization | ✔ | |

343 | 47307 | Peter Binev, Albert Cohen, Wolfgang Dahmen and Ronald DeVore | Classification Algorithms using Adaptive Partitioning | binary classification, adaptive methods, set estimators, tree based algorithms, analysis of risk | ✔ | |

342 | 47266 | Maxim A. Olshanskii, Arnold Reusken , Xianmin Xu | A Volume Mesh Finite Element Method for PDEs on Surfaces | surface finite element, surface SUPG stabilization, residual-type surface finite element error indicator | ||

341 | 47298 | Mark Kärcher, Martin A. Grepl | A Certified Reduced Basis Method for Parametrized Elliptic Optimal Control Problems | optimal control, reduced basis method, a posteriori error estimation, model order reduction, parameter-dependent systems | ✔ | |

340 | 47296 | Christoph Lehrenfeld, Arnold Reusken | Analysis of a DG-XFEM Discretization for a Class of Two-Phase Mass Transport Problems | transport problem, Nitsche method, XFEM, DG space-time finite element method | ✔ | |

338 | 47344 | Jochen Schütz, Sebastian Noelle, Christina Steiner, Georg May | A Note on Adjoint Error Estimation for One-Dimensional Stationary Conservation Laws with Shocks | adjoint error control, conservation laws, discontinuities, interior boundary condition | ✔ | |

337 | 47148 | Markus Bachmayr | Integration of Products of Gaussians and Wavelets with Applications to Electronic Structure Calculations | wavelets, Gaussians, Coulomb potential, exponential sum approximation, sinc quadrature, trapezoidal rule | ✔ | |

336 | 47267 | Jochen Schütz, Georg May | An Adjoint Consistency Analysis for a Class of Hybrid Mixed Methods | hybrid mixed discretizations, hybridized discontinuous Galerkin discretizations, adjoint consistency, compressible Navier–Stokes equations | ✔ | |

335 | 47265 | Joachim Schöberl, Christoph Lehrenfeld | Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes | hybrid Discontinuous Galerkin methods, p-version finite elements, domain decomposition | ✔ | |

353 | 230479 | Kolja Brix, Claudio Canuto, Wolfgang Dahmen | Robust Preconditioners for DG-Discretizations with Arbitrary Polynomial Degrees | multi-stage preconditioner, spectral discontinuous Galerkin method, auxiliary space method, Legendre-Gauß-Lobatto grids | ✔ | |

334 | 47343 | Michael Rom, Karl-Heinz Brakhage | Volume Mesh Generation for Numerical Flow Simulations Using Catmull-Clark and Surface Approximation Methods | volume mesh generation, hexahedral meshes, Catmull-Clark subdivision, B-spline surfaces, surface approximation | ||

333 | 47334 | Christoph Lehrenfeld, Arnold Reusken | Nitsche-XFEM with Streamline Diffusion Stabilization for a Two-Phase Mass Transport Problem | transport problem, Nitsche method, XFEM, streamline-diffusion stabilization | ✔ | |

332 | 47342 | Wolfgang Dahmen, Thomas Gotzen, Siegfried Müller, Roland Schäfer | Adaptive Multiresolution Finite Volume Discretization of the Variational Multiscale Method. General Framework. | Variational Multiscale Method, multiscale analysis, biorthogonal wavelets, finite volume scheme | ||

548 | 710250 | Antoine Tordeux, Guillaume Costeseque, Michael Herty, Armin Seyfried | From traffic and pedestrian follow-the-leader models with reaction time to first order convection-diffusion flow models | First order traffic flow models, micro/macro connection, hyperbolic conservation laws, Godunov scheme, numerical simulation | ✔ | |

331 | 47341 | Wolfgang Dahmen, Thomas Gotzen , Silvia Sorana Melian-Flamand, Siegfried Müller | Numerical Simulation of Cooling Gas Injection Using Adaptive Multiscale Techniques | finite volume method, film cooling, cooling gas injection, multiscale techniques, grid adaptation | ✔ | |

330 | 47330 | Jens L. Eftang, Martin A. Grepl, Anthony T. Patera, Einar M. Rønquist | Approximation of Parametric Derivatives by the Empirical Interpolation Method | function approximation; a priori convergence; Empirical Interpolation Method; parametric derivatives; sensitivity derivatives | ✔ | |

329 | 47332 | Lars Grasedyck, Wolfgang Hackbusch | An Introduction to Hierachical (H-) Rank and TT-Rank of Tensors with Examples | hierarchical Tucker, tensor rank, tensor approximation, tensor train | ✔ | |

328 | 47333 | Martin A. Grepl, Karen Veroy | A Level Set Reduced Basis Approach to Parameter Estimation | reduces basis methods, parameter dependence, partial differential equations, level set methods, parameter estimation | ✔ | |

327 | 47335 | Arnold Reusken, Patrick Esser | Analysis of Time Discretization Methods for a Two-Phase Stokes Equation with Surface Tension | two-phase flow, surface tension, time discretization, Crank-Nicolson method | ✔ | |

319 | 47338 | Arnold Reusken, Eva Loch | On the Accuracy of the Level Set SUPG Method for Approximating Interfaces | finite element, streamline diffusion stabilization, streamline-upwind Petrov-Galerkin, level set method, mass conservation | ||

326 | 47321 | Martin A. Grepl | Certified Reduced Basis Methods for Nonaffine Linear Time-Varying Partial Differential Equations | Reduced basis methods, parabolic PDEs, parameter-dependent systems, a posteriori error estimation, time-varying problems | ✔ | |

325 | 47319 | Martin A. Grepl, Mark Kärcher | Reduced Basis a Posteriori Error Bounds for Parametrized Linear-Quadratic Elliptic Optimal Control Problems | Optimal control, partial differential equations, model reduction, a posteriori error estimation, reduced basis methods | ✔ | |

324 | 47320 | Dirk Klindworth, Martin A. Grepl, Georg Vossen | Certified Reduced Basis Methods for Parametrized Parabolic Partial Differential Equations with Non-Affine Source Terms | Reduced basis methods, parabolic PDEs, non-affine parameter dependence, a posteriori error estimation, empirical interpolation method, welding process | ✔ | |

323 | 47312 | Albert Cohen, Wolfgang Dahmen, Gerrit Welper | Adaptivity and Variational Stabilization for Convection-Diffusion Equations | variational problems, adaptivity, a–posteriori error estimators, stabilization | ✔ | |

322 | 47318 | Martin A. Grepl | Model Order Reduction of Parametrized Nonlinear Reaction-Diffusion Systems | reaction-diffusion equation, model order reduction, reduced basis approximation, empirical interpolation method, nonlinar systems | ✔ | |

321 | 47313 | Wolfgang Dahmen, Chunyan Huang, Christoph Schwab, Gerrit Welper | Adaptive Petrov-Galerkin Methods for First Order Transport Equations | Linear transport problems, L2-stable Petrov-Galerkin formulations, trace theorems, δ-proximality, adaptive refinement schemes, residual approximation, error reduction | ✔ | |

320 | 47317 | Lars Grasedyck, Isabelle Greff, Stefan Sauter | The AL Basis for the Solution of Elliptic Problems in Heterogeneous Media | Elliptic problem, heterogeneous media, Green’s function, generalized finite elements | ✔ | |

317 | Peter Binev, Francisco Blanco-Silva, Douglas Blom, Wolfgang Dahmen, Philipp Lamby, Robert Sharpley, Thomas Vogt | High Quality Image Formation by Nonlocal Means Applied to High-Angle Annular Darkfield Scanning Transmission Electron Microscopy (HAADF-STEM) | ✔ | |||

316 | 47316 | Peter Binev, Wolfgang Dahmen, Ronald DeVore, Philipp Lamby, Daniel Savu, Robert Sharpley | Compressed Sensing and Electron Microscopy | Compressed sensing, electron microscopy, sparsity, optimal encoding and decoding | ✔ | |

315 | 812204 | Yulong Xing, Chi-Wang Shu, Sebastian Noelle | On the Advantage of Well-Balanced Schemes for Moving-Water Equilibria of the Shallow Water Equations | Shallow water equation, still water, moving water equilibrium, high order accuracy, well balanced scheme. | ✔ | |

314 | 47286 | Manuel Castro, Jörn Thies Frings, Sebastian Noelle, Carlos Pares, Gabriella Puppo | On the Hyperbolicity of Two- and Three-Layer Shallow Water Equations | Multi-layer shallow water equations, Kelvin-Helmholtz instability, adaptive choice of layers | ✔ | |

313 | Andreas Bollermann, Guoxian Chen, Alexander Kurganov, Sebastian Noelle | A Well-Balanced Reconstruction of Wet /Dry Fronts for the Shallow Water Equations - revised version - (19. Dezember 2012) | Hyperbolic systems of conservation and balance laws, Saint-Venant system of shallow water equations, Finite volume methods, Well-balanced schemes, Positivity preserving schemes, Wet/dry fronts | ✔ | ||

312 | 47276 | Jonas Ballani, Lars Grasedyck, Melanie Kluge | Black Box Approximation of Tensors in Hierarchical Tucker Format | hierarchical Tucker, tensor rank, tensor approximation, tensor train, cross approximation | ✔ | |

311 | 47271 | Nune Hovhannisyan, Siegfried Müller, Roland Schäfer | Adaptive Multiresolution Discontinuous Galerkin Schemes for Conservation Laws | conservation laws, discontinuous Galerkin schemes, grid adaptation, multiwavlets | ✔ | |

318 | Christina Steiner, Sebastian Noelle | On Adaptive Timestepping for Weakly Instationary Solutions of Hyperbolic Conservation Laws Via Adjoint Error Control | hyperbolic conservation laws;weakly instationary solutions;adaptive timestepping;adjoint error control | ✔ | ||

310 | 47272 | Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk | Convergence Rates for Greedy Algorithms in Reduced Basis Methods | Parameter dependent elliptic PFEs, reduced basis, greedy algorithm, weak greedy algorithm, Kolmogorov widths, convergence rates | ✔ | |

309 | 47277 | Jonas Ballani, Lars Grasedyck | A Projection Method to Solve Linear Systems in Tensor Format | Low rank, Tucker, hierarchical Tucker, Kronecker-product matrix | ✔ | |

308 | 47278 | Lars Grasedyck | Polynomial Approximation in Hierarchical Tucker Format by Vector-Tensorization | hierarchical Tucker, tensorization, tensor rank, tensor approximation, tensor train, TT | ||

307 | 47273 | Peter Binev, Wolfgang Dahmen, Philipp Lamby | Fast High-Dimensional Approximation with Sparse Occupancy Trees | high-dimensional approximation, non-parametric regression, non-linear approximation, multiresolution tree | ✔ | |

306 | 47279 | Martin A. Grepl | A Posteriori Error Bounds for Reduced Basis Approximations of Nonaffine and Nonlinear Parabolic Partial Differential Equations | Reduced basis methods, parabolic PDEs, parameter-dependent systems, nonlinear PDEs, nonaffine parameter dependence, a posteriori error estimation, Galerkin approximation | ||

305 | 47275 | Andreas Bollermann, Sebastian Noelle, Maria Lukáčová-Medviďová | Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds | Well-balanced schemes, dry boundaries, shallow water equations, evolution Galerkin schemes, source terms | ✔ | |

304 | 47106 | Alain Plattner, Hans-Rudolf Maurer, Jürgen Vorloeper, Wolfgang Dahmen | Three-Dimensional Geoelectric Modelling with Optimal Work/Accuracy Rate Using an Adaptive Wavelet Algorithm | Numerical solutions, wavelet transform, numerical approximations and analysis, non-linear differential equations, electrical properties | ✔ | |

296 | 47099 | Josef Ballmann, Marek Behr, Kolja Brix, Wolfgang Dahmen, Christoph Hohn, Ralf Massjung, Sorana Melian, Siegfried Müller, Gero Schieffer | Parallel and Adaptive Methods for Fluid-Structure-Interactions | Multiscale-based grid adaptation, parallelisation, load-balancing, space-filling curves, fluid-structure coupling | ✔ | |

303 | 47104 | Peter Binev, Francisco Blanco-Silva, Douglas Blom, Wolfgang Dahmen, Robert Sharpley, Tom Vogt | Super-Resolution Image Reconstruction by Nonlocal Means applied to High-Angle Annular Darkfield Scanning Transmission Electron Microscopy (HAADF-STEM) | high resolution imaging for STEM, iterated nonlocal means | ||

295 | 47105 | Christina Steiner, Sebastian Noelle | Timestep Control for Weakly Instationary Flows | Hyperbolic conservation laws, weakly nonstationary solutions, adaptive timestepping, adjoint error control, Euler equations | ✔ | |

302 | 47098 | Kolja Brix, Ralf Massjung, Alexander Voß | A Hash Data Structure for Adaptive PDE-Solvers Based on Discontinuous Galerkin Discretizations | discontinuous Galerkin method, adaptive method, multilevel method, pointerless data structures, neighboring algorithm. | ✔ | |

301 | 47103 | Wolfgang Dahmen, Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser | Adaptive Eigenvalue Computation for Elliptic Operators | elliptic eigenvalue equations, preconditioned inverse iteration, adaptive algorithm | ✔ | |

300 | 47102 | Ralf Massjung | An hp-Error Estimate for an Unfitted Discontinuous Galerkin Method Applied to Elliptic Interface Problems | elliptic interface problems, Discontinuous Galerkin Method, hp-error estimate | ||

294 | 47310 | Karl-Heinz Brakhage, Wolfgang Dahmen, Philipp Lamby | A Unified Approach to the Modeling of Airplane Wings and Numerical Grid Generation Using B-Spline Representations | B–splines, approximation, fairing, offset curves, grid generation | ✔ | |

299 | 47097 | Kolja Brix, Sorana Mogosan, Siegfried Müller, Gero Schieffer | Parallelisation of Multiscale-Based Grid Adaptation Using Space-Filling Curves | finite volume schemes, multiscale-based grid adaptation, parallelisation, load-balancing, space-filling curves | ✔ | |

298 | 47100 | Arnold Reusken, Trung Hieu Nguyen | Nitsche's Method for a Transport Problem in Two-Phase Incompressible Flows | Nitsche’s method, interface problem, extended finite elements, two-phase flows, | ✔ | |

292 | 47095 | Christina Steiner, Siegfried Müller, Sebastian Noelle | Adaptive Timestep Control for Instationary Solutions of the Euler Equations | compressible Euler equations, weakly instationary flows, adaptive time-stepping, adjoint error analysis, multiscale analysis. | ✔ | |

297 | 47101 | Bernhard Pollul, Arnold Reusken | Iterative Solvers for Discretized Stationary Euler Equations | ✔ | ||

293 | 47096 | Wolfgang Dahmen, Nune Hovhannisyan, Siegfried Müller | Adaptive Multiscale Methods for Flow Problems: Recent Developments | ✔ | ||

291 | 47092 | Patrick Esser, Jörg Grande, Arnold Reusken | An Extended Finite Element Method Applied to Levitated Droplet Problems | finite element, surface tension, spurious velocities, level set method, two-phase flow | ✔ | |

290 | 47093 | Arnold Reusken | Introduction to Multigrid Methods for Elliptic Boundary Value Problems | |||

289 | 47089 | Albert Cohen, Wolfgang Dahmen, Ronald DeVore | Instance Optimal Decoding by Thresholding in Compressed Sensing | Compressed sensing, best k-term approximation, instance optimal decoders, thresholding, noisy measurements, random matrices. | ||

288 | 47087 | Frank Dieter Bramkamp, Bernhard Pollul, Arno Rasch, Gero Schieffer | Matrix-Free Second-Order Methods in Implicit Time Integration for Compressible Flows Using Automatic Differentiation | Matrix-free methods, Newton-Krylov, Automatic differentiation, QUADFLOW, ADIFOR | ✔ | |

287 | 47088 | Maxim A. Olshanskii, Arnold Reusken | A Finite Element Method for Surface PDES: Matrix Properties | surface, interface, finite element, level set method, two-phase flow | ✔ | |

285 | 47090 | Siegfried Müller, Mathieu Bachmann, Dennis Kröninger, Thomas Kurz, Philippe Helluy | Comparison and Validation of Compressible Flow Simulations of Laser-Induced Cavitation Bubbles | spherical bubble collapse, stiffened gas model, ghost fluid method | ✔ | |

286 | 47084 | Maxim A. Olshanskii, Arnold Reusken, Jörg Grande | An Eulerian Finite Element Method for Elliptic Equations on Moving Surfaces | surface, interface, finite element, level set method, two-phase flow, Marangoni | ✔ | |

284 | 47085 | Nune Hovhannisyan, Siegfried Müller | On the Stability of Fully Adaptive Multiscale Schemes for Conservation Laws Using Approximate Flux and Source Reconstruction Strategies | conservation laws, finite volume schemes, grid adaption, biorthogonal wavelets | ✔ | |

283 | 47195 | Wolfgang Dahmen, Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser | Adaptive Eigenvalue Computation - Complexity Estimates | adaptive eigenvalue solver, preconditioned infinite dimensional problem, Richardson iteration, convergence rates, complexity estimates | ✔ | |

282 | 47233 | Kolja Brix, Martin Campos Pinto, Wolfgang Dahmen | Multilevel Preconditioners for the Interior Penalty Discontinuous Galerkin Method II Quantitative Studies | interior penalty method, energy-stable splittings, admissible averaging operators, frames, multilevel Schwarz preconditioners, discontinuous Galerkin methods | ||

281 | 47196 | Arnold Reusken | Analysis of an Extended Pressure Finite Element Space for Two-Phase Incompressible Flows | extended finite element space, two-phase flow, surface tension, spurious velocities | ✔ | |

280 | 47215 | Steffen Börm | Approximation of Solution Operators of Elliptic Partial Differential Equations by H- and H2-Matrices | Hierarchical matrices, data-sparse approximation, finite element methods, elliptic partial differential equations | ✔ | |

279 | 47192 | Steffen Börm | Construction of Data-Sparse H2-Matrices by Hierarchical Compression | hierarchical matrices, data-sparse approximation, non-local operators | ✔ | |

277 | 47246 | Kolja Brix, Martin Campos Pinto, Wolfgang Dahmen | A Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method | interior penalty method, energy-stable splittings, admissible averaging operators, frames, multilevel Schwarz preconditioners, discontinuous Galerkin methods | ✔ | |

276 | 465516 | Maka Karalashvili, Sven Groß Adel Mhamdi, Arnold Reusken, Wolfgang Marquardt | Incremental Identification of Transport Phenomena in Convection-Diffusion Systems | modeling, transport phenomena, convection-diffusion equation, inverse problem, regularization, conjugate gradient method, identification | ✔ | |

275 | 465517 | Michel Speetjens, Arnold Reusken, Stanislaus Maier-Paape, Wolfgang Marquardt | Stability Analysis of Two-Dimensional Pool-Boiling Systems | pool boiling, stability, bifurcation analysis, numerical simulation | ✔ | |

274 | 47247 | Normann Pankratz, Jostein R. Natvig, Björn Gjevik, Sebastian Noelle | High-Order Well-Balanced Finite-Volume Schemes for Barotropic Flows Development and Numerical Comparisons | ✔ | ||

273 | 47248 | Siegfried Müller, Philippe Helluy, Josef Ballmann | Numerical Simulation of Cavitation Bubbles by Compressible Two-Phase Fluids | ✔ | ||

272 | 47226 | Maxim Larin, Arnold Reusken | A Comparative Study of Efficient Iterative Solvers for Generalized Stokes Equations | generalized Stokes problem, preconditioned MINRES, inexact Uzawa method, multigrid methods, Vanka and Braess-Sarazin smoothers | ✔ | |

278 | 47214 | Albert Cohen, Wolfgang Dahmen, Ronald DeVore | A Taste of Compressed Sensing | compressed sensing, best k-term approximation, instance optimality in probability, efficient decoding, orthogonal matching pursuit. | ✔ | |

271 | 47200 | A. Cohen, W. Dahmen, R. DeVore | Near Optimal Approximation of Arbitrary Vectors from Highly Incomplete Measurements | |||

270 | 47232 | Sebastian Noelle, Yulong Xing, Chi-Wang Shu | High Order Well-Balanced Finite Volume WENO Schemes for Shallow Water Equation with Moving Water | shallow water equation, moving water equilibria, high order upwind finite volume scheme, well-balanced scheme | ✔ | |

269 | 47238 | Wolfgang Dahmen, Shai Dekel, Pencho Petrushev | Two-Level-Split Decomposition of Anisotropic Besov Spaces | Multilevel ellipsoid covers, homogeneous spaces, anisotropic Besov spaces, two-level-split bases, nonlinear approximation | ✔ | |

268 | 47221 | Alexander Voß | Notes on Adaptive Grids in 2D and 3D Part I: Navigating through Cell Hierarchies using Cell Identifiers | Data structure, adaptive grid, hybrid grid, cell enumeration strategy | ||

267 | 47262 | Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore | Universal Piecewise Polynomial Estimators for Machine Learning | Regression, universal piecewise polynomial estimators, complexity regularization, optimal convergence rates in probability, adaptive partitioning, thresholding | ||

266 | 47216 | Arnold Reusken, Marcus Soemers | On the Robustness of a Multigrid Method for Anisotropic Reaction-Diffusion Problems | anisotropic reaction-diffusion problem, robust multigrid method | ✔ | |

264 | 47229 | Sven Groß, Arnold Reusken | An Extended Pressure Finite Element Space for Two-Phase Incompressible Flows with Surface Tension | pressure finite element space, two-phase flow, surface tension, spurious velocities | ✔ | |

263 | 47245 | Michel Speetjens, Arnold Reusken, Wolfgang Marquardt | Steady-State Solutions in a Three-Dimensional Nonlinear Pool-Boiling Heat-Transfer Model | pool boiling, nonlinear heat transfer, bifurcations, numerical simulation | ✔ | |

262 | 47204 | Sven Groß, Arnold Reusken | Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows | two-phase flow, continuum surface force technique, interface, Laplace–Beltrami operator, finite elements | ✔ | |

261 | 47203 | H. Martin Bücker, Bernhard Pollul, Arno Rasch | On CFL Evolution Strategies for Implicit Upwind Methods in Linearized Euler Equations | CFL number, implicit upwind methods, Euler equations, sensitivity analysis, automaticdifferentiation, QUADFLOW, ADIFOR | ✔ | |

260 | 47237 | Albert Cohen, Wolfgang Dahmen, Ronald DeVore | Compressed Sensing and Best k-Term Approximation | Compressed sensing, best k-term approximation, instance optimality, instance optimality in probability, restricted isometry property, null space property, mixed norm estimates | ✔ | |

259 | 47205 | Maria Lukáčová-Medviďová, Sebastian Noelle, Marcus Kraft | Well-Balanced Finite Volume Evolution Galerkin Methods for the Shallow Water Equations | well-balanced schemes, steady states, systems of hyperbolic balance laws, shallow water equations, geostrophic balance, evolution Galerkin schemes | ✔ | |

265 | 47219 | Wolfgang Dahmen, Shai Dekel, Pencho Petrushev | Multilevel Preconditioning for Partition of Unity Methods - Some Analytic Concepts | Multilevel partition of unity methods, two-level splits, multilevel expansions, additive Schwarz preconditioner, smoothness spaces, local linear independence, stability, Besov spaces | ✔ | |

258 | 47235 | Wolfgang Dahmen, Angela Kunoth, Jürgen Vorloeper | Convergence of Adaptive Wavelet Methods for Goal-Oriented Error Estimation | ✔ | ||

257 | 47239 | Andrew Barron, Albert Cohen, Wolfgang Dahmen, Ronald DeVore | Approximation and Learning by Greedy Algorithms | Orthogonal, relaxed greedy algorithm, convergence estimates for a scale of interpolation spaces, universal consistency, applications to learning, neural networks | ✔ | |

256 | 47199 | Michel Speetjens, Arnold Reusken, Wolfgang Marquardt | Steady-State Solutions in a Nonlinear Pool Boiling Model | pool boiling, nonlinear heat transfer, bifurcation analysis, numerical simulation | ✔ | |

255 | 47236 | Bernhard Pollul, Arnold Reusken | Numbering Techniques for Preconditioners in Iterative Solvers for Compressible Flows | Euler equations, Krylov subspace methods, preconditioning, ordering algorithms | ✔ | |

254 | Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore | Universal Algorithms for Learning Theory Part II: Piecewise Polynomial Functions | Regression, universal piecewise polynomial estimators, optimal convergence rates in probability, adaptive partitioning, thresholding on-line updates | ✔ | ||

253 | 47224 | Wolfgang Dahmen, Markus Jürgens | Error Controlled Regularization by Projection | inverse problems, Dunford integrals, quadrature, Tikhonov method, projection methods, truncated SVD expansion, adaptive wavelet methods | ||

252 | 47269 | Maxim A. Olshanskii, Jörg Peters, Arnold Reusken | Uniform Preconditioners for a Parameter Dependent Saddle Point Problem with Application to Generalized Stokes Interface Equations | generalized Stokes equations, interface problem, two-phase flow, preconditioning, Schur complement | ✔ | |

251 | 47220 | Sebastian Noelle, Normann Pankratz, Gabriella Puppo, Jostein R. Natvig | Well-Balanced Finite Volume Schemes of Arbitrary Order of Accuracy for Shallow Water Flows | hyperbolic conservation laws, source terms, shallow water equations, well-balanced schemes, finite volume schemes, WENO reconstruction | ✔ | |

250 | 47244 | Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider | Adaptive Methods for Boundary Integral Equations - Complexity and Convergence Estimates | Boundary integral equations, adaptive wavelet scheme, best N-term approximation, compressible matrices, adaptive hp-quadrature, complexity and convergence estimates | ✔ | |

249 | 47268 | Mario S. Mommer | A Smoothness Preserving Fictitious Domain Method for Elliptic Boundary Value Problems | boundary value problems, fictitious domain methods, convergence rates, wavelets | ✔ | |

248 | 47188 | Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore, Vladimir Temlyakov | Universal Algorithms for Learning Theory Part I: Piecewise Constant Functions | Regression, universal estimators, optimal convergence rates in probability, adaptive partitioning, on-line updates | ||

247 | 47177 | Bernhard Pollul, Arnold Reusken | Preconditioners for Linearized Discrete Compressible Euler Equations | Euler equations, Krylov subspace methods, point-block preconditioners | ||

244 | 47182 | Arne Barinka, Wolfgang Dahmen, Reinhold Schneider | Fast Computation of Adaptive Wavelet Expansions (extended version) | Tree approximation, local multiscale transforms, adaptive wavelet schemes, quadrature, dual norms, error estimates | ✔ | |

246 | 47147 | Philipp Lamby, Siegfried Müller, Youssef Stiriba | Solution of Shallow Water Equations Using Fully Adaptive Multiscale Schemes | shallow water equations, multiscale techniques, local grid refinement, finite volume methods | ✔ | |

245 | 47191 | Peter Binev, Wolfgang Dahmen, Ronald DeVore, Nira Dyn | Adaptive Approximation of Curves | polygonal approximation of planar curves, adaptive multiscale refinement, maximal functions, convergence rates, encoding | ||

238 | 47193 | Siegfried Müller, Youssef Stiriba | Fully Adaptive Multiscale Schemes for Conservation Laws Employing Locally Varying Time Stepping | multiscale techniques, local grid refinement, locally varying time stepping, finite volume schemes, conservation laws | ✔ | |

243 | 47163 | Sven Groß, Volker Reichelt, Arnold Reusken | A Finite Element Based Level Set Method for Two-Phase Incompressible Flows | ✔ | ||

241 | 47179 | Jörg Peters, Volker Reichelt, Arnold Reusken | Fast Iterative Solvers for Discrete Stokes Equations | Stokes equations, inexact Uzawa methods, preconditioned MINRES, multigrid | ✔ | |

240 | 47184 | Wolfgang Dahmen, Pencho Petrushev | "Push-the-Error'' Algorithm for Nonlinear N-Term Approximation | uniform norm approximation, multilevel expansions, wavelet bases, best n-term approximation | ✔ | |

239 | 47180 | Maxim A. Olshanskii, Arnold Reusken | A Stokes Interface Problem: Stability, Finite Element Analysis and a Robust Solver | Stokes equations, interface problem, two-phase flows, finite elements, preconditioning | ||

242 | 47167 | Martin Campos-Pinto, Albert Cohen, Wolfgang Dahmen, Ronald DeVore | On the Stability of Nonlinear Conservation Laws in the Hausdorff Metric | Conservation laws, Hausdorff metric, stability, one sided Lipschitz, perturbation of fluxes | ✔ | |

237 | Maxim A. Olshanskii, Arnold Reusken | Analysis of a Stokes Interface Problem | Stokes equations, interface problem, infsup condition, finite elements, preconditioning, Schur complement | ✔ | ||

235 | Frank Bramkamp, Philipp Lamby, Siegfried Müller | An Adaptive Multiscale Finite Volume Solver Unsteady and Steady State Flow Computations | ✔ | |||

234 | 47153 | Sigrid Andreae, Josef Ballmann, Siegfried Müller | Wave Processes at Interfaces | Shock Wave, Phase Boundary, Rarefaction Wave, Riemann Problem, Acoustic Impedance | ✔ | |

236 | 47171 | Arne Barinka, Stephan Dahlke, Wolfgang Dahmen | Adaptive Application of Operators in Standard Representation | operator equations, quasi sparse matrices and vectors, best N-term approximation, fast matrix/vector multiplication | ✔ | |

233 | 47170 | Wolfgang Dahmen, Siegfried Müller, Alexander Voß | Riemann Problem for the Euler Equation with Non-Convex Equation of State including Phase Transitions | Euler Equation, Wave Part, Rarefaction Wave, Riemann Problem, Shock Speed | ✔ | |

231 | 465512 | Maxim A. Olshanskii, Arnold Reusken | Convergence Analysis of a Multigrid Method for a Convection-Dominated Model Problem | multigrid, streamline diffusion, convection-diffusion | ✔ | |

230 | 47144 | Mario S. Mommer | Fictitious Domain-Lagrange Multiplier Approach: Smoothness Analysis | Lagrange multipliers, boundary conditions, convergence rates, fictitious domains | ||

229 | 47242 | Tim Kröger, Sebastian Noelle | Numerical Comparison of the Method of Transport to a Standard Scheme revised version (2004/1/8) | multidimensional systems of hyperbolic conservation laws, Fey’s Method of Transport (MoT), HLL scheme, numerical comparison | ✔ | |

228 | 47240 | Tim Kröger, Sebastian Noelle, Susanne Zimmermann | On the Connection between some Riemann-Solver Free Approaches to the Approximation of Multi-Dimensional Systems of Hyperbolic Conservation Laws | systems of conservation laws, Fey's Method of Transport, Euler equations, Boltzmann equation, kinetic schemes, bicharacteristic theory, state decompositions, decompositions, exact and approximate evolution operators, quadrature rules | ✔ | |

227 | 47175 | Sven Groß, Arnold Reusken | Parallel Multilevel Tetrahedral Grid Refinement | tetrahedral grid refinement, parallelization, stable refinement, consistent triangulations | ✔ | |

226 | 47157 | Ralf Massjung | Discretization and Algorithms for Strong Coupling in Computational Aeroelasticity | |||

225 | 47187 | Peter Binev, Wolfgang Dahmen, Ronald DeVore, Pencho Petrushev | Approximation Classes for Adaptive Methods | adaptive finite element methods, adaptive approximation, n-term approximation, degree of approximation, approximation classes, Besov spaces | ||

224 | Wolfgang Dahmen, Angela Kunoth | Adaptive Wavelet Methods for Linear-Quadratic Elliptic Control Problems: Convergence Rates | Optimal control, elliptic boundary value problem, wavelets, infinite l2-system, preconditioning, adaptive refinements, inexact iterations, convergence, convergence rates, optimal complexity | ✔ | ||

223 | 47156 | Maxim A. Olshanskii, Arnold Reusken | Convergence Analysis of a Multigrid Solver for a Finite Element Method Applied to Convection-Diffusion Problems | multigrid, streamline diffusion, convection-diffusion | ✔ | |

222 | 47161 | Albert Cohen, Wolfgang Dahmen, Ronald DeVore | Sparse Evaluation of Compositions of Functions Using Multiscale Expansions | nonlinear mappings, thresholding, tree structures, adaptive evaluation of nonlinear operators | ✔ | |

221 | 47164 | Albert Cohen, Wolfgang Dahmen, Ronald DeVore | Adaptive Wavelet Schemes for Nonlinear Variational Problems | Variational problems, wavelet representations, semilinear equations, mapping properties, gradient iteration, convergence rates, adaptive application of operators, sparse evaluation of nonlinear mappings of wavelet expansions, tree approximation, Newton's scheme. | ✔ | |

220 | 47172 | Sigrid Andreae, Josef Ballmann, Siegfried Müller, Alexander Voß | Dynamics of Collapsing Bubbles Near Walls | Rarefaction Wave, Contact Discontinuity, Mach Stem, Local Grid Refinement, Maxwell Construction | ✔ | |

219 | 47160 | Peter Binev, Wolfgang Dahmen, Ronald DeVore | Adaptive Finite Element Methods with Convergence Rates | elliptic equations, finite element methods, adaptive refinements, rates of convergence, nonlinear approximation | ✔ | |

218 | 47165 | Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider | Compression Techniques for Boundary Integral Equations - Optimal Complexity Estimates | Wavelets, norm equivalences, multilevel preconditioning, first and second compression, a-posteriori compression, asymptotic complexity estimates | ✔ | |

217 | Sebastian Noelle , Michael Westdickenberg | Convergence of Approximate Solutions of Conservation Laws | Weak Solution, Entropy Solution, Entropy Condition, Kinetic Formulation, Young Measure | ✔ | ||

216 | 47154 | Maxim Larin | On a Multigrid Method for Solving Partial Eigenproblems | multigrid methods, eigenvalue problems, sparse matrices | ||

215 | 47169 | Wolfgang Dahmen, Jürgen Vorloeper, Karsten Urban | Adaptive Wavelet Methods Basic Concepts and Applications to the Stokes Problem | Variational problems, saddle point problems, wavelet bases, adaptive application of operators, Stokes equations, convergence estimates | ✔ | |

213 | 465510 | Arnold Reusken | Convergence Analysis of the Gauss-Seidel Method for Discretized One Dimensional Euler Equations | Gauss-Seidel method, Euler equations, convergence analysis | ✔ | |

214 | 47168 | Wolfgang Dahmen, Torben Klint, Karsten Urban | On Fictitious Domain Formulations for Maxwell's Equations | Maxwell's equations, fictitious domain method, saddle point problems, Lagrange multipliers | ✔ | |

211 | 47159 | Sven Groß, Jörg Peters, Volker Reichelt, Arnold Reusken | The DROPS Package for Numerical Simulations of Incompressible Flows Using Parallel Adaptive Multigrid Techniques | |||

212 | 47158 | Philipp Birken | Preconditioning GMRES for Steady Compressible Inviscid Flows | |||

210 | 47173 | Knut-Andreas Lie, Sebastian Noelle | On the Artificial Compression Method for Second-Order Nonoscillatory Central Difference Schemes for Systems of Conservation Laws | hyperbolic conservation laws, nonoscillatory high resolution central schemes, contact discontinuities, artificial compression | ✔ |