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

523 | Feburuary 2023 | 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 |

522 | December 2022 | 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 |

521 | August 2022 | 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 |

520 | March 2022 | 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 |

519 | February 2022 | Sven Groß, Arnold Reusken | Analysis of optimal preconditioners for CutFEM | unfitted finite elements, CutFEM, Nitsche method, interface problem, fictitious domain method, preconditioner |

518 | October 2021 | Philip Brandner, Arnold Reusken, Paul Schwering | On derivations of evolving surface Navier-Stokes equations | surface PDEs, Navier-Stokes on surfaces |

517 | July 2021 | 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 | June 2021 | 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 | July 2021 | 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 | June 2021 | 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 | May 2021 | 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 |

512 | March 2021 | 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 | February 2021 | 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 |

510 | December 2020 | 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 |

509 | November 2020 | Michael Herty, Sonja Steffensen, Anna Thünen | Multiscale Control of Stackelberg Games | Multi-level Game, Multiscale Control, Stackelberg Game, Nash Equilibrium, Mean-Field Game |

508 | October 2020 | Arnold Reusken | Analysis of finite element methods for surface vector-Laplace eigenproblems | vector-Laplace eigenproblem, surface finite element method, trace finite element method |

507 | October 2020 | 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 |

506 | July 2020 | 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 |

505 | June 2020 | 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 |

504 | June 2020 | 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 |

503 | April 2020 | 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 | March 2020 | 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 |

501 | January 2020 | 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 | January 2020 | Michael Herty, Torsten Trimborn, Giuseppe Visconti | Kinetic Theory for Residual Neural Networks | Keywords Residual neural network, continuous limit, mean field equation, kinetic equation, machine learning application |

499 | December 2019 | 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 | December 2019 | Michael Herty, Giuseppe Visconti | Continuous Limits for Constrained Ensemble Kalman Filter | inverse problems, constrained optimization, nonlinear ltering methods, DAE systems, mean-field limit |

497 | November 2019 | 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 | October 2019 | 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 |

495 | October 2019 | 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 |

494 | October 2019 | Cory D. Hauck, Michael Herty, Giuseppe Visconti | Qualitative Properties of Mathematical Model for Data Flow | conservation laws, predictive performance |

493 | October 2019 | Philip Brandner, Arnold Reusken | Finite element error analysis of surface Stokes equations in stream function formulation | surface Stokes, stream function formulation, error analysis, TraceFEM |

492 | September 2019 | 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 | September 2019 | 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 |

490 | April 2019 | Thomas Jankuhn, Arnold Reusken | Trace finite element methods for surface vector-Laplace equations | vector-Laplace, trace finite element method |

489 | February 2019 | Michael Herty, Christian Ringhofer | Consistent mean field optimality conditions for interacting agent systems | Kinetic Equations, Particle Systems, Optimal Control, Meanfield Limits |

488 | January 2019 | 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 | January 2019 | 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 | November 2018 | 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 | November 2018 | Michael Herty, Giuseppe Visconti | Kinetic Methods for Inverse Problems | Kinetic Partial Differential Equations, Nonlinear Filtering Methods, Inverse Problems |

484 | November 2018 | 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 |

483 | October 2018 | 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 | August 2018 | 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 | July 2018 | 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 |

480 | June 2018 | Yogiraj Mantri, Michael Herty, Sebastian Noelle | Well-balanced scheme for gas-flow in pipeline networks | hyperbolic conservation laws, well-balanced schemes, gas flow networks |

479 | March 2018 | 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 | March 2018 | Arnold Reusken | Stream Function Formulation of Surface Stokes Equations | surface Stokes, surface Helmholtz decomposition, stream function formulation |

477 | March 2018 | 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 | January 2018 | 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 | January 2018 | 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 | January 2018 | 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 | December 2017 | 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 | November 2017 | 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 |

471 | October 2017 | 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 |

470 | September 2017 | 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 | August 2017 | 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 | July 2017 | 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 | July 2017 | 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 |

466 | June 2017 | 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 | May 2017 | 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 | March 2017 | 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 | March 2017 | 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 | February 2017 | Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken | Incompressible Fluid Problems on Embedded Surfaces: Modeling and Variational Formulations | surface PDEs, Navier-Stokes on surfaces |

461 | January 2017 | 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 | November 2016 | Maxim A. Olshanskii, Arnold Reusken | Trace Finite Element Methods for PDEs on Surfaces | trace finite elements, PDEs on surfaces, unfitted finite elements |

459 | November 2016 | 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 | November 2016 | 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 | November 2016 | 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 | August 2016 | 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 | July 2016 | 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 | July 2016 | 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 | June 2016 | 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 | June 2016 | 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 |

451 | May 2016 | 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 | April 2016 | 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 | April 2016 | 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 |

448 | February 2016 | 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 | February 2016 | 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 | February 2016 | 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 | February 2016 | 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 | February 2016 | Karl-Heinz Böhm , Mike Espig, Alexander A. Auer | Tensor Representation Techniques for Full Configuration Interaction: A Fock Space Approach Using the Canonical Product Format | |

443 | January 2016 | 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 | January 2016 | 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 | January 2016 | 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 | December 2015 | 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 |

439 | November 2015 | 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 | November 2015 | Karl-Heinz Brakhage | Fast Approximation Methods for Fitting Surfaces to Unorganized Point Clouds | Splines, Multivariate Approximation, Fairing, Numerical Analysis, Numerical Linear Algebra |

437 | November 2015 | 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 | October 2015 | Jörg Grande | Red-Green Refinement of Simplicial Meshes in D Dimensions | mesh refinement, red-green refinement, green closure, simplicial meshes |

435 | October 2015 | 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 | October 2015 | 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 | October 2015 | 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 | October 2015 | 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 |

431 | September 2015 | 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 |

430 | August 2015 | 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 | August 2015 | 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 | August 2015 | Michael Herty, Wen-An Yong | Feedback boundary control of linear hyperbolic systems with relaxation | Stabilisation, Hyperbolic relaxation systems, Lyapunov methods, Feedback boundary control |

427 | June 2015 | 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 | June 2015 | 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 | June 2015 | Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk | Data Assimilation in Reduced Modeling | optimal recovery, reduced modeling, greedy algorithms |

424 | June 2015 | 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 | May 2015 | 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 | May 2015 | Hamed Zakerzadeh | On the Mach-Uniformity of Lagrange-Projection Scheme | All-Mach number scheme, Lagrange-projection scheme, asymptotic preserving scheme, stability analysis |

421 | March 2013 | 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 |

420 | March 2015 | 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 | March 2015 | 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 | March 2015 | Michael Herty | Stabilisation of hyperbolic conservation laws using conservative finite-volume schemes | stabilisation, finite-volume schemes, Lyapunov methods, boundary control, hyperbolic conservation laws |

417 | February 2015 | Jochen Schütz, Klaus Kaiser | A new stable splitting for singularly perturbed ODEs | IMEX, splittings, van der Pol equation, stiff equations |

416 | January 2015 | 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 | December 2014 | 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 | 2014 | 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 | December 2014 | 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 | November 2014 | 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 | November 2014 | 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 | October 2014 | Alexander Jaust, Jochen Schütz, Michael Woopen | An HDG Method for unsteady compressible ﬂows | CFD, hybridized discontinuous Galerkin, shock-capturing |

409 | October 2014 | 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 | October 2014 | Louis Forestier-Coste, Simone Göttlich, Michael Herty | Data-Fitted Second-Order Macroscopic Production Models | production systems, system of conservation laws, data ﬁtting |

407 | August 2014 | 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 | August 2014 | 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 | July 2014 | Michael Herty, Christian Ringhofer | Large-Time Behavior of Averaged Kinetic Models on Networks | network dynamics, kinetic theory, asymptotic analysis |

404 | July 2014 | 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 | July 2014 | 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 | July 2014 | 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 | July 2014 | 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 | July 2014 | 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 | July 2014 | 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 | 2014 | 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 | June 2014 | Michael Herty, Lena Michailidis, Marcus Ziegler | Kinetic Part-Feeding Models for Assembly Lines in Automotive Industries | network dynamics, kinetic theory, asymptotic analysis |

396 | April 2014 | 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 | April 2014 | 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 | April 2014 | Michael Herty, Benedetto Piccoli | Numerical Method for the Computation of Tangent Vectors to Hyperbolic Systems of Conservation Laws | conservation laws, optimization, tangent vectors |

393 | 2014 | 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 | April 2014 | Melanie Kluge | Sampling Rules for Tensor Reconstruction in Hierarchical Tucker Format | tensor completion, tensor approximation, tensor train |

391 | April 2014 | 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 | March 2014 | 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 | March 2014 | 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 | March 2014 | 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 | March 2014 | Arnold Reusken | Analysis of Trace Finite Element Methods for Surface Partial Differential Equations | trace ﬁnite elements, error analysis, elliptic surface equation |

386 | March 2014 | 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 | March 2014 | Jonas Ballani, Lars Grasedyck | Hierarchical Tensor Approximation of Output Quantities of Parameter-Dependent PDEs | hierarchical Tucker, low rank tensor, SPDE, cross approximation, sampling |

384 | March 2014 | Carsten Gräser, Oliver Sander | Truncated Nonsmooth Newton Multigrid Methods for Simplex-Constrained Minimization Problems | multigrid, simplex constraints, phase-ﬁeld models, convex minimization |

383 | January 2014 | Oliver Sander | Substructuring Methods in Nonlinear Function Spaces | substructuring, manifold-valued functions, Cosserat shells, Neumann-Neumann method |

382 | January 2014 | Sebastian Noelle, Jochen Schütz | Flux Splitting: A Notion on Stability | IMEX finite volume, asymptotic preserving, flux splitting, modified equation, stability analysis |

381 | January 2014 | 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 | January 2014 | 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 | November 2013 | Patrick Esser, Jörg Grande | An Accurate and Robust Finite Element Level Set Redistancing Method | level set method, redistancing, reinitialization |

378 | October 2013 | 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 | October 2013 | 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 | October 2013 | 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 | September 2013 | 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 | September 2013 | 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 | September 2013 | 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 | August 2013 | 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 | July 2013 | 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 | July 2013 | 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 | July 2013 | Pierre Degond, Michael Herty, Jian-Guo Liu | Flow on Sweeping Networks | Master equation, cellular automata, pedestrian dynamics, networks |

368 | June 2013 | Jörn Thies Frings | Viscous Sublayering for Shallow Water Flows | multilayer flows, shallow water, approximate Riemann solvers, finite volume method, viscosity, friction |

367 | June 2013 | 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 | June 2013 | 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 | May 2013 | 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 | May 2013 | 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 |

363 | April 2013 | 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 |

362 | April 2013 | 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 | April 2013 | 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 | April 2013 | 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 |

359 | March 2013 | 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 | March 2013 | 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 |

357 | February 2013 | 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 | January 2013 | 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 | January 2013 | 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 | December 2012 | Eva Loch | Analysis of a Discontinuous Galerkin Method Applied to the Level Set Equation | finite element, Discontinuous Galerkin, upwind flux, level set method |

353 | December 2012 | 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 |

352 | December 2012 | 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 | December 2012 | 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 | December 2012 | 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 | October 2012 | 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 | October 2012 | 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 | October 2012 | 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 | October 2012 | Arnold Reusken | A Finite Element Level Set Redistancing Method Based on Gradient Recovery | level set method, reinitialization, redistancing, gradient recovery |

345 | 2017 | 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 | August 2012 | 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 | Juli 2012 | 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 | June 2012 | 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 | May 2012 | 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 | April 2012 | 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 | March 2012 | 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 | March 2012 | 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 | February 2012 | 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 | February 2012 | 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 |

334 | December 2011 | 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 | November 2011 | 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 | November 2011 | 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 |

331 | October 2011 | 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 | September 2011 | 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 | August 2011 | 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 | June 2011 | 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 | June 2011 | 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 |

326 | May 2011 | 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 | May 2011 | 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 | April 2011 | 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 | February 2011 | Albert Cohen, Wolfgang Dahmen, Gerrit Welper | Adaptivity and Variational Stabilization for Convection-Diffusion Equations | variational problems, adaptivity, a–posteriori error estimators, stabilization |

322 | February 2011 | 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 | January 2011 | 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 | January 2011 | 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 |

319 | June 2011 | 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 |

318 | June 2010 | 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 |

317 | December 2010 | 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 | December 2010 | 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 | December 2010 | 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 | December 2010 | 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 | October 2010 | 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) | |

312 | October 2010 | 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 | September 2010 | Nune Hovhannisyan, Siegfried Müller, Roland Schäfer | Adaptive Multiresolution Discontinuous Galerkin Schemes for Conservation Laws | conservation laws, discontinuous Galerkin schemes, grid adaptation, multiwavlets |

310 | May 2010 | 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 | April 2010 | Jonas Ballani, Lars Grasedyck | A Projection Method to Solve Linear Systems in Tensor Format | Low rank, Tucker, hierarchical Tucker, Kronecker-product matrix |

308 | April 2010 | Lars Grasedyck | Polynomial Approximation in Hierarchical Tucker Format by Vector-Tensorization | hierarchical Tucker, tensorization, tensor rank, tensor approximation, tensor train, TT |

307 | April 2010 | 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 | March 2010 | 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 | February 2010 | 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 | November 2009 | 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 |

303 | September 2009 | 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 |

302 | July 2009 | 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 | June 2009 | Wolfgang Dahmen, Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser | Adaptive Eigenvalue Computation for Elliptic Operators | elliptic eigenvalue equations, preconditioned inverse iteration, adaptive algorithm |

300 | May 2009 | 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 |

299 | April 2009 | 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 | March 2009 | 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, |

297 | January 2009 | Bernhard Pollul, Arnold Reusken | Iterative Solvers for Discretized Stationary Euler Equations | |

296 | October 2009 | 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 |

295 | August 2009 | Christina Steiner, Sebastian Noelle | Timestep Control for Weakly Instationary Flows | Hyperbolic conservation laws, weakly nonstationary solutions, adaptive timestepping, adjoint error control, Euler equations |

294 | May 2009 | 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 |

293 | January 2009 | Wolfgang Dahmen, Nune Hovhannisyan, Siegfried Müller | Adaptive Multiscale Methods for Flow Problems: Recent Developments | |

292 | March 2009 | 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. |

291 | December 2008 | 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 | December 2008 | Arnold Reusken | Introduction to Multigrid Methods for Elliptic Boundary Value Problems | |

289 | November 2008 | 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 | October 2008 | 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 | October 2008 | Maxim A. Olshanskii, Arnold Reusken | A Finite Element Method for Surface PDES: Matrix Properties | surface, interface, finite element, level set method, two-phase flow |

286 | March 2008 | 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 |

285 | July 2008 | 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 |

284 | January 2008 | 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 | November 2007 | 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 | November 2007 | 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 | October 2007 | 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 | October 2007 | 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 | October 2007 | Steffen Börm | Construction of Data-Sparse H2-Matrices by Hierarchical Compression | hierarchical matrices, data-sparse approximation, non-local operators |

278 | January 2007 | 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. |

277 | July 2007 | 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 | July 2007 | 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 | February 2007 | 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 | February 2007 | Normann Pankratz, Jostein R. Natvig, Björn Gjevik, Sebastian Noelle | High-Order Well-Balanced Finite-Volume Schemes for Barotropic Flows Development and Numerical Comparisons | |

273 | February 2007 | Siegfried Müller, Philippe Helluy, Josef Ballmann | Numerical Simulation of Cavitation Bubbles by Compressible Two-Phase Fluids | |

272 | February 2007 | 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 |

271 | January 2007 | A. Cohen, W. Dahmen, R. DeVore | Near Optimal Approximation of Arbitrary Vectors from Highly Incomplete Measurements | |

270 | January 2007 | 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 | January 2007 | 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 | December 2006 | 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 | December 2006 | 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 | December 2006 | Arnold Reusken, Marcus Soemers | On the Robustness of a Multigrid Method for Anisotropic Reaction-Diffusion Problems | anisotropic reaction-diffusion problem, robust multigrid method |

265 | March 2006 | 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 |

264 | September 2006 | 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 | August 2006 | 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 | August 2006 | 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 | August 2006 | 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 | July 2006 | 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 | June 2006 | 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 |

258 | March 2006 | Wolfgang Dahmen, Angela Kunoth, Jürgen Vorloeper | Convergence of Adaptive Wavelet Methods for Goal-Oriented Error Estimation | |

257 | March 2006 | 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 | March 2006 | 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 | March 2006 | Bernhard Pollul, Arnold Reusken | Numbering Techniques for Preconditioners in Iterative Solvers for Compressible Flows | Euler equations, Krylov subspace methods, preconditioning, ordering algorithms |

254 | December 2005 | 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 | October 2005 | 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 | September 2005 | 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 | May 2005 | 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 | March 2005 | 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 | February 20052017 | Mario S. Mommer | A Smoothness Preserving Fictitious Domain Method for Elliptic Boundary Value Problems | boundary value problems, fictitious domain methods, convergence rates, wavelets |

248 | October 2004 | 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 | 2017 | Bernhard Pollul, Arnold Reusken | Preconditioners for Linearized Discrete Compressible Euler Equations | Euler equations, Krylov subspace methods, point-block preconditioners |

246 | July 2004 | 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 | July 2004 | 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 |

244 | August 2004 | 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 |

243 | May 2004 | Sven Groß, Volker Reichelt, Arnold Reusken | A Finite Element Based Level Set Method for Two-Phase Incompressible Flows | |

242 | February 2004 | 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 |

241 | March 2004 | Jörg Peters, Volker Reichelt, Arnold Reusken | Fast Iterative Solvers for Discrete Stokes Equations | Stokes equations, inexact Uzawa methods, preconditioned MINRES, multigrid |

240 | March 2004 | 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 | March 2004 | 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 |

238 | April 2004 | 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 |

237 | February 2004 | Maxim A. Olshanskii, Arnold Reusken | Analysis of a Stokes Interface Problem | Stokes equations, interface problem, infsup condition, finite elements, preconditioning, Schur complement |

236 | October 2003 | 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 |

235 | December 2003 | Frank Bramkamp, Philipp Lamby, Siegfried Müller | An Adaptive Multiscale Finite Volume Solver Unsteady and Steady State Flow Computations | |

234 | November 2003 | Sigrid Andreae, Josef Ballmann, Siegfried Müller | Wave Processes at Interfaces | |

233 | October 2003 | Wolfgang Dahmen, Siegfried Müller, Alexander Voß | Riemann Problem for the Euler Equation with Non-Convex Equation of State including Phase Transitions | |

231 | June 2003 | Maxim A. Olshanskii, Arnold Reusken | Convergence Analysis of a Multigrid Method for a Convection-Dominated Model Problem | multigrid, streamline diffusion, convection-diffusion |

230 | June 2003 | Mario S. Mommer | Fictitious Domain-Lagrange Multiplier Approach: Smoothness Analysis | Lagrange multipliers, boundary conditions, convergence rates, fictitious domains |

229 | May 2003 | 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 | May 2003 | 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 | April 2003 | Sven Groß, Arnold Reusken | Parallel Multilevel Tetrahedral Grid Refinement | tetrahedral grid refinement, parallelization, stable refinement, consistent triangulations |

226 | January 2003 | Ralf Massjung | Discretization and Algorithms for Strong Coupling in Computational Aeroelasticity | |

225 | December 2002 | 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 | December 2002 | 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 | November 2002 | 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 | July 2002 | 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 | 2017 | 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 | July 2017 | Sigrid Andreae, Josef Ballmann, Siegfried Müller, Alexander Voß | Dynamics of Collapsing Bubbles Near Walls | |

219 | June 2002 | 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 | June 2002 | 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 | June 2002 | Sebastian Noelle , Michael Westdickenberg | Convergence of Approximate Solutions of Conservation Laws | |

216 | June 2002 | Maxim Larin | On a Multigrid Method for Solving Partial Eigenproblems | multigrid methods, eigenvalue problems, sparse matrices |

215 | May 2002 | 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 |

214 | April 2002 | 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 |

213 | May 2002 | Arnold Reusken | Convergence Analysis of the Gauss-Seidel Method for Discretized One Dimensional Euler Equations | Gauss-Seidel method, Euler equations, convergence analysis |

212 | April 2002 | Philipp Birken | Preconditioning GMRES for Steady Compressible Inviscid Flows | |

211 | February 2002 | Sven Groß, Jörg Peters, Volker Reichelt, Arnold Reusken | The DROPS Package for Numerical Simulations of Incompressible Flows Using Parallel Adaptive Multigrid Techniques | |

210 | January 2002 | Knut-Andreas Lie, Sebastian Noelle | On the Artificial Compression Method for Second-Order Nonoscillatory Central Difference Schemes for Systems of Conservation Laws |