NO. PUBLISHED RWTH AUTHORS TITLE KEYWORDS DOI
691 1009806 Georgii Oblapenko, Manuel Torrilhon, Michael Herty Sparse Reconstruction of Multi-Dimensional Kinetic Distributions Boltzmann equation, moment method, maximum entropy, sparse reconstruction, numerical optimization
690 1009805 Shaoshuai Chu, Michael Herty, Eleuterio F. Toro High-Order Flux Splitting Schemes for the Euler Equations of Gas Dynamics Flux splitting schemes, Euler equations of gas dynamics, advection system, pressure system, A-WENO schemesHigh-Order Flux Splitting Schemes for the Euler Equations of Gas Dynamics
692 1009807 Markus Bachmayr, Henrik Eisenmann, Igor Voulis Adaptive stochastic Galerkin finite element methods: Optimality and non-affine coefficients stochastic Galerkin method, finite elements, frame-based error estimation, multilevel expansions of random fields, optimality
689 1009791 Melanie Harms, Michael Herty, Chiara Segala, Eva Zerz Sparse control in microscopic and mean-field leader-follower models Sparse control, Lyapunov decay, leader-follower systems, mean-field approximation, multi-agent dynamics, stabilization
686 1008596 Liwei Zhang, Patrizia Mazzeo, Michele Nottoli, Edoardo Cignoni, Lorenzo Cupellini, Benjamin Stamm A symmetry-preserving and transferable representation for learning the Kohn-Sham density matrix
684 1005757 Nam Anh Nguyen, Arnold Reusken Discretization error analysis for a radially symmetric harmonic map heat flow problem Harmonic map heat flow problem, discrete stability analysis, discretization error bounds, discrete energy estimates
688 1005610 Sabrina Bonandin, Michael Herty Kinetic variable-sample methods for stochastic optimization problems global optimization, stochastic optimization problems, particle-based methods, consensus-based optimization, Boltzmann equation, kinetic equations
687 1004442 Juliette Dubois, Michael Herty, Siegfried Müller High-dimensional stochastic finite volumes using the tensor train format
678 1003610 Mapundi Kondwani Banda, Jan Friedrich, Michael Herty Boundary Stabilization with restricted observability
679 1003611 Sanjibanee Sudha, Jan Friedrich, Samala Rathan Central schemes for systems of non-local balance laws System of non-local balance laws, higher-order schemes, finite-volume schemes, central schemes, non-staggered grid, traffic flow
673 1002851 Shaoshuai Chu, Michael Herty, Maria Lukacova-Medvid'ova, Yizhou Zhou Solving Random Hyperbolic Conservation Laws Using Linear Programming nonlinear hyperbolic systems with uncertainty, Random parameterized Young measures, Moment closure problems
672 1002849 Michael Herty, Sara Veneruso Micro-Macro Decomposition of Particle Swarm Optimization Methods derivative-free optimization, metaheuristics, particle swarm optimization, con-strained minimization, micro-macro decomposition
671 1002846 Simon Boisserée, Evangelos Moulas, Markus Bachmayr Fluid flow channeling and mass transport with discontinuous porosity distribution
677 1003603 Shaoshuai Chu, Alexander Kurganov, Mingye Na, Ruixiao Xin Local Characteristic Decomposition of Equilibrium Variables for Hyperbolic Systems of Balance Laws High-order reconstruction (interpolation), A-WENO schemes, well-balanced schemes, equilibrium variables, local characteristic decomposition
676 1003602 Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin A Well-Balanced Fifth-Order A-WENO Scheme Based on Flux Globalization A-WENO schemes, flux globalization based path-conservative central-upwind scheme, nozzle flow system, two-layer shallow water equations
681 1003622 Yvonne Alama Bronsard, Xi Chen, Matthieu Dolbeault Spectrally accurate fully discrete schemes for some nonlocal and nonlinear integrable PDEs via explicit formulas Integrable systems, Benjamin-Ono equation, explicit formulas, Lax pairs, spectral accuracy, fully discrete error analysis, long-time dynamics
674 1002852 Michael Herty, Yizhou Zhou A numerical method for solving the generalized tangent vector of hyperbolic systems Conservative schemes, Generalized tangent vectors, Interface conditions
670 998612 Tilman Aleman, Arnold Reusken Numerical analysis of a constrained strain energy minimization problem
675 1002853 Michael Redle, Michael Herty An Asymptotic-Preserving Scheme for Isentropic Flow in Pipe Networks Isentropic Euler equations, pipe networks, non-conservative hyperbolic systems of non- linear PDEs, asypmtotic-preserving scheme, all-speed scheme, central-upwind scheme, flux splitting, implicit-explicit approach, low Mach limit on pipe networks
667 996239 Yuyang Huang, Michael Herty, Dante Kalise, Nikolas Kantas Fast and robust consensus-based optimization via optimal feedback control Yuyang Huang, Michael Herty, Dante Kalise, Nikolas Kantas
668 996240 Michael Herty, Kai Hinzmann, Siegfried Müller, Ferdinand Thein Numerical Boundary Control of Multi-Dimensional Hyperbolic Equations Boundary feedback control, multi-dimensional hyperbolic problem, numerical dissipation, stabilization
669 996241 Giacomo Borghi, Michael Herty, Lorenzo Pareschi Kinetic models for optimization: a unified mathematical framework for metaheuristics Optimization, kinetic models, metaheuristics, mean-field limit, stochastic particle systems, Monte Carlo methods
666 996238 Markus Bachmayr, Simon Boisserée An adaptive space-time method for nonlinear poroviscoelastic flows with discontinuous porosities
683 1004603 Yizhou Zhou, Wen-An Yong Boundary conditions for hyperbolic relaxation systems with characteristic boundaries Hyperbolic relaxation system; Reduced boundary condition; Characteristic bound- ary; Kreiss condition; Shizuta-Kawashima-like condition
682 1004593 Prakhar Godara, Tilman Diego Aléman, Angela J. Yu Metareasoning in uncertain environments: a meta-BAMDP framework
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
680 1003619 Stefano Marchesani, Gabriella Puppo, Sara Veneruso Dynamics of Shocks in Financial Markets Mitigated by a Central Clearing Counterparty Central clearing counterparty, shock propagation, financial networks, financial market ✔
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 Relativistic Euler equations, Conservation laws, Hyperbolic systems, Lorentz transformations, Shock waves, Entropy conditions, Rarefaction waves ✔
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 Lyapunov stability / control of PDEs / IBVP for hyperbolic PDE systems / linear matrix inequality ✔
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 ✔