Dissipation and dispersion in differential equations
Dissipation and dispersion in differential equations
Ansgar Jüngel
(ORCID: 0000-0003-0633-8929)
Disciplines
Mathematics (100%)
Keywords
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Nonlinear partial differential equations,
Dissipation in differential equations,
Dispersion in differential equations,
Numerical analysis,
Optimal transport,
Computational mathematiccs
Partial differential equations play an eminent role in physics, biology, finance, etc. in order to model and predict complex scientific and technical systems involving nonlinear, dissipative and/or dispersive effects. To this end, it is essential to combine modern methods in mathematical, numerical, and stochastic analysis (optimal transport) and to harness recent algorithmic advances. The proposed doctoral school aims to contribute to such an understanding by covering these fields. The research program joins 13 projects which are strongly interrelated by the interplay of dissipative and dispersive phenomena. The doctorate school is intended to join existing strengths of dynamic research groups in Applied Mathematics in Vienna in order to establish an intensive high-profile doctoral training program.
Consortium
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consortium member (1.3.2013 - 31.8.2022)
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consortium member (1.3.2013 - 31.8.2022)
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consortium member (1.3.2013 - 31.8.2022)
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consortium member (1.3.2013 - 31.8.2022)
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consortium member (1.3.2013 - 31.8.2022)
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consortium member (1.3.2013 - 31.8.2022)
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consortium member (1.3.2013 - 31.8.2022)
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consortium member (1.3.2013 - 31.8.2022)
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consortium member (1.3.2013 - 31.8.2022)
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consortium member (1.3.2013 - 28.2.2017)
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consortium member (1.3.2013 - 31.8.2022)
Research institution(s)
- Universität Wien
- Technische Universität Wien
- Institute of Science and Technology Austria - ISTA
Project participants
- Jan Maas, Institute of Science and Technology Austria - ISTA , associated research partner
- Gerald Teschl, Universität Wien , associated research partner
International project participants
- Christos Xenophontos, University of Cyprus - Cyprus
- Tomas Roubicek, Charles University - Czechia
- Martin Kruzik, Czech Academy of Sciences - Czechia
- Antti Hannukainen, Helsinki University of Technology - Finland
- Gaël Raoul, Université de Montpellier II - France
- Claire Chainais-Hillairet, Université des Sciences et Technologies de Lille 1 - France
- Claudia Negulescu, Université Paul Sabatier - France
- Florian Mehats, Université de Rennes I - France
- Christophe Besse, Université Paul Sabatier - France
- Vincent Calvez, Ecole Normale Superieure de Lyon - France
- David Lannes, Université Bordeaux I - France
- Jean Dolbeault, Universite de Paris - Dauphine - France
- Elyés Jouini, Universite de Paris - Dauphine - France
- Anne Nouri, Aix-Marseille Université - France
- Laurent Desvillettes, Université Paris Diderot - Paris 7 - France
- Steffen Boerm, Universität Kiel - Germany
- Alexander Mielke, Weierstraß-Institut für Angewandte Analysis und Stochastik - Germany
- Alexander Linke, Weierstraß-Institut für Angewandte Analysis und Stochastik - Germany
- Martin Huesmann, Universität Münster - Germany
- Heinrich Freistühler, Universität Konstanz - Germany
- Joachim Escher, Universität Hannover - Germany
- Li Chen, Universität Mannheim - Germany
- Matthias Erbar, Universität Bielefeld - Germany
- Lubomir Banas, Universität Bielefeld - Germany
- Ernst-Peter Stephan, Universität Hannover - Germany
- Daniel Matthes, Technische Universität München - Germany
- Barbara Wohlmuth, Technische Universität München - Germany
- Carsten Carstensen, Humboldt-Universität zu Berlin - Germany
- Alessandro Russo, Universita di Milano-Bicocca - Italy
- Paola Pieta, University of Pavia - Italy
- Goro Akagi, Tohoku University - Japan
- Helge Holden, Norwegian University of Science and Technology (NTNU) - Norway
- Ragnar Winther, University of Oslo - Norway
- Weizhu Bao, National University of Singapore - Singapore
- Richard Kollar, Comenius University Bratislava - Slovakia
- Christoph Schwab, Eidgenössische Technische Hochschule Zürich - Switzerland
- Habib Ammari, Eidgenössische Technische Hochschule Zürich - Switzerland
- Josef Teichmann, Eidgenössische Technische Hochschule Zürich - Switzerland
- Ralf Hiptmair, Eidgenössische Technische Hochschule Zürich - Switzerland
- Stefan Sauter, University of Zurich - Switzerland
- Stephan Schecter, University of North Carolina - USA
- Peter Monk, University of Delaware - USA
- Guillaume Bal, University of Chicago - USA
- Thaleia Zariphopoulou, The University of Texas at Austin - USA
- Leszek Demkowicz, The University of Texas at Austin - USA
- Irene Gamba, The University of Texas at Austin - USA
- Gunther Uhlmann, University of Washington - USA
- Jean-Luc Guermond, Texas A&M University - USA
- Jay Gopalakrishnan, Portland State University - USA
- Nizar Touzi, Polytechnic Institute of New York University - USA
- Massmoudi Nader, New York University - USA
- Prasad Tetali, Georgia Institute of Technology - USA
- Marcel Nutz, Columbia University New York - USA
- Elisabeth Werner, Case Western Reserve University - USA
- Fritz Gesztesy, Baylor University - USA
- Eric Carlen, Rutgers University - USA
- Iryna Egorova, National Academy of Sciences of Ukraine - Ukraine
- Filip Rindler, University of Warwick - United Kingdom
- Simon Chandler-Wilde, University of Reading - United Kingdom
- Andrea Moiola, University of Reading - United Kingdom
- Jose Antonio Carrillo, University of Oxford - United Kingdom
- Harald Oberhauser, University of Oxford - United Kingdom
- Gino Hrkac, University of Exeter - United Kingdom
- Pierre Degond, Imperial College London - United Kingdom
- Clément Mouhot, University of Cambridge - United Kingdom
- Alexander Cox, University of Bath - United Kingdom
- Martin Hairer, Imperial College London - United Kingdom
- Lehel Banjai, Heriot-Watt University - United Kingdom
- Nikola Popovic, University of Edinburgh - United Kingdom
Research Output
- 3313 Citations
- 271 Publications
Publications
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2024
Title Wavenumber-explicit stability and convergence analysis of h p hp finite element discretizations of Helmholtz problems in piecewise smooth media DOI 10.1090/mcom/3958 Type Journal Article Author Bernkopf M Journal Mathematics of Computation Pages 73-122 Link Publication -
2024
Title Donoghue m m -functions for Singular Sturm–Liouville operators DOI 10.1090/spmj/1795 Type Journal Article Author Gesztesy F Journal St. Petersburg Mathematical Journal Pages 101-138 Link Publication -
2024
Title A coupled stochastic differential reaction–diffusion system for angiogenesis DOI 10.1016/j.cam.2023.115570 Type Journal Article Author Fellner M Journal Journal of Computational and Applied Mathematics Pages 115570 Link Publication -
2024
Title One-Dimensional Short-Range Nearest-Neighbor Interaction and Its Nonlinear Diffusion Limit DOI 10.1137/23m155520x Type Journal Article Author Fischer M Journal SIAM Journal on Applied Mathematics Pages 1-18 Link Publication -
2024
Title Optimal transport with nonlinear mobilities: A deterministic particle approximation result DOI 10.1515/acv-2022-0076 Type Journal Article Author Di Marino S Journal Advances in Calculus of Variations Pages 941-974 Link Publication -
2024
Title On the Well-Posedness of Two Driven-Damped Gross–Pitaevskii-Type Models for Exciton-Polariton Condensates DOI 10.1007/s10884-024-10359-6 Type Journal Article Author Möller J Journal Journal of Dynamics and Differential Equations Pages 1-22 Link Publication -
2020
Title Adaptive BEM for elliptic PDE systems, part I: abstract framework, for weakly-singular integral equations DOI 10.1080/00036811.2020.1800651 Type Journal Article Author Gantner G Journal Applicable Analysis Pages 2085-2118 Link Publication -
2020
Title Stochastic Navier–Stokes Equations on a Thin Spherical Domain DOI 10.1007/s00245-020-09702-2 Type Journal Article Author Brzezniak Z Journal Applied Mathematics & Optimization Pages 1971-2035 Link Publication -
2019
Title Optimal control of the self-bound dipolar droplet formation process DOI 10.1016/j.cpc.2019.06.002 Type Journal Article Author Mennemann J Journal Computer Physics Communications Pages 205-216 Link Publication -
2019
Title Murray’s law for discrete and continuum models of biological networks DOI 10.1142/s0218202519500489 Type Journal Article Author Haskovec J Journal Mathematical Models and Methods in Applied Sciences Pages 2359-2376 Link Publication -
2019
Title Homogenization of degenerate cross-diffusion systems DOI 10.1016/j.jde.2019.05.036 Type Journal Article Author Jüngel A Journal Journal of Differential Equations Pages 5543-5575 Link Publication -
2019
Title Rigorous mean-field limit and cross-diffusion DOI 10.1007/s00033-019-1170-7 Type Journal Article Author Chen L Journal Zeitschrift für angewandte Mathematik und Physik Pages 122 Link Publication -
2019
Title High-friction limits of Euler flows for multicomponent systems DOI 10.1088/1361-6544/ab12a6 Type Journal Article Author Huo X Journal Nonlinearity Pages 2875-2913 Link Publication -
2019
Title Convergence of Adaptive Stochastic Galerkin FEM DOI 10.1137/18m1229560 Type Journal Article Author Bespalov A Journal SIAM Journal on Numerical Analysis Pages 2359-2382 Link Publication -
2019
Title The Hellan–Herrmann–Johnson method for nonlinear shells DOI 10.1016/j.compstruc.2019.106109 Type Journal Article Author Neunteufel M Journal Computers & Structures Pages 106109 Link Publication -
2019
Title Linear second-order IMEX-type integrator for the (eddy current) Landau–Lifshitz–Gilbert equation DOI 10.1093/imanum/drz046 Type Journal Article Author Di Fratta G Journal IMA Journal of Numerical Analysis Pages 2802-2838 Link Publication -
2023
Title Global martingale solutions for stochastic Shigesada–Kawasaki–Teramoto population models DOI 10.1007/s40072-023-00289-7 Type Journal Article Author Braukhoff M Journal Stochastics and Partial Differential Equations: Analysis and Computations Pages 525-575 Link Publication -
2023
Title Viscoelastodynamics of Swelling Porous Solids at Large Strains by an Eulerian Approach DOI 10.1137/22m1474229 Type Journal Article Author Roubícek T Journal SIAM Journal on Mathematical Analysis Pages 2677-2703 Link Publication -
2023
Title Rate-independent stochastic evolution equations: Parametrized solutions DOI 10.1016/j.jfa.2023.110102 Type Journal Article Author Scarpa L Journal Journal of Functional Analysis Pages 110102 Link Publication -
2022
Title Random-batch method for multi-species stochastic interacting particle systems DOI 10.1016/j.jcp.2022.111220 Type Journal Article Author Daus E Journal Journal of Computational Physics Pages 111220 Link Publication -
2022
Title Weak-Strong Uniqueness for Maxwell--Stefan Systems DOI 10.1137/21m145210x Type Journal Article Author Huo X Journal SIAM Journal on Mathematical Analysis Pages 3215-3252 Link Publication -
2022
Title Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics DOI 10.1016/j.apnum.2022.05.008 Type Journal Article Author Mauser N Journal Applied Numerical Mathematics Pages 33-54 Link Publication -
2022
Title Topology optimization for quasistatic elastoplasticity DOI 10.1051/cocv/2022037 Type Journal Article Author Almi S Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 47 Link Publication -
2022
Title Existence analysis of a stationary compressible fluid model for heat-conducting and chemically reacting mixtures DOI 10.1063/5.0041053 Type Journal Article Author Bulícek M Journal Journal of Mathematical Physics Pages 051501 Link Publication -
2022
Title Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations DOI 10.1016/j.camwa.2022.04.006 Type Journal Article Author Gantner G Journal Computers & Mathematics with Applications Pages 74-96 Link Publication -
2022
Title Existence results for a morphoelastic model DOI 10.1002/zamm.202100478 Type Journal Article Author Davoli E Journal ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Link Publication -
2022
Title Approximation of martingale couplings on the line in the adapted weak topology DOI 10.1007/s00440-021-01103-y Type Journal Article Author Beiglböck M Journal Probability Theory and Related Fields Pages 359-413 Link Publication -
2022
Title An Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: Analysis and Galerkin Discretization DOI 10.1137/20m1360086 Type Journal Article Author Braukhoff M Journal SIAM Journal on Numerical Analysis Pages 364-395 Link Publication -
2022
Title Nonlocal cross-diffusion systems for multi-species populations and networks DOI 10.1016/j.na.2022.112800 Type Journal Article Author Jüngel A Journal Nonlinear Analysis Pages 112800 Link Publication -
2022
Title Doubly nonlinear stochastic evolution equations II DOI 10.1007/s40072-021-00229-3 Type Journal Article Author Scarpa L Journal Stochastics and Partial Differential Equations: Analysis and Computations Pages 307-347 -
2022
Title Tilings with Nonflat Squares: A Characterization DOI 10.1007/s00032-022-00350-5 Type Journal Article Author Friedrich M Journal Milan Journal of Mathematics Pages 131-175 Link Publication -
2022
Title A new minimizing-movements scheme for curves of maximal slope DOI 10.1051/cocv/2022028 Type Journal Article Author Stefanelli U Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 59 Link Publication -
2022
Title Self-adjoint and Markovian extensions of infinite quantum graphs DOI 10.1112/jlms.12539 Type Journal Article Author Kostenko A Journal Journal of the London Mathematical Society Pages 1262-1313 Link Publication -
2022
Title A convergent finite volume scheme for dissipation driven models with volume filling constraint DOI 10.1007/s00211-022-01270-7 Type Journal Article Author Cancès C Journal Numerische Mathematik Pages 279-328 -
2021
Title Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian DOI 10.1090/mcom/3603 Type Journal Article Author Faustmann M Journal Mathematics of Computation Pages 1557-1587 Link Publication -
2021
Title Fluid-structure interaction with H(div)-conforming finite elements DOI 10.1016/j.compstruc.2020.106402 Type Journal Article Author Neunteufel M Journal Computers & Structures Pages 106402 Link Publication -
2021
Title Avoiding membrane locking with Regge interpolation DOI 10.1016/j.cma.2020.113524 Type Journal Article Author Neunteufel M Journal Computer Methods in Applied Mechanics and Engineering Pages 113524 Link Publication -
2021
Title Riemann–Hilbert theory without local parametrix problems: Applications to orthogonal polynomials DOI 10.1016/j.jmaa.2021.125495 Type Journal Article Author Piorkowski M Journal Journal of Mathematical Analysis and Applications Pages 125495 Link Publication -
2021
Title Large Time Convergence of the Non-homogeneous Goldstein-Taylor Equation DOI 10.1007/s10955-021-02702-8 Type Journal Article Author Arnold A Journal Journal of Statistical Physics Pages 41 Link Publication -
2021
Title A reduced basis method for fractional diffusion operators II DOI 10.1515/jnma-2020-0042 Type Journal Article Author Danczul T Journal Journal of Numerical Mathematics Pages 269-287 Link Publication -
2021
Title Enhanced Technique for Metascreens Using the Generalized Finite Element Method DOI 10.1109/tmag.2021.3065118 Type Journal Article Author Leumüller M Journal IEEE Transactions on Magnetics Pages 1-4 -
2021
Title Three-field mixed finite element methods for nonlinear elasticity DOI 10.1016/j.cma.2021.113857 Type Journal Article Author Neunteufel M Journal Computer Methods in Applied Mechanics and Engineering Pages 113857 Link Publication -
2021
Title Hypocoercivity and controllability in linear semi-dissipative Hamiltonian ordinary differential equations and differential-algebraic equations DOI 10.1002/zamm.202100171 Type Journal Article Author Achleitner F Journal ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Link Publication -
2021
Title Asymptotic limits for a nonlinear integro-differential equation modelling leukocytes’ rolling on arterial walls DOI 10.1088/1361-6544/ac3eb5 Type Journal Article Author Milišic V Journal Nonlinearity Pages 843-869 Link Publication -
2021
Title An algebraic multigrid method for elasticity based on an auxiliary topology with edge matrices DOI 10.1002/nla.2408 Type Journal Article Author Kogler L Journal Numerical Linear Algebra with Applications Link Publication -
2021
Title On rational Krylov and reduced basis methods for fractional diffusion DOI 10.1515/jnma-2021-0032 Type Journal Article Author Danczul T Journal Journal of Numerical Mathematics Pages 121-140 Link Publication -
2022
Title Variational resolution of outflow boundary conditions for incompressible Navier–Stokes DOI 10.1088/1361-6544/ac8fd8 Type Journal Article Author Bathory M Journal Nonlinearity Pages 5553-5592 Link Publication -
2022
Title Analysis and mean-field derivation of a porous-medium equation with fractional diffusion DOI 10.1080/03605302.2022.2118608 Type Journal Article Author Chen L Journal Communications in Partial Differential Equations Pages 2217-2269 Link Publication -
2022
Title Partial Hölder regularity for solutions of a class of cross-diffusion systems with entropy structure DOI 10.1016/j.matpur.2022.07.006 Type Journal Article Author Braukhoff M Journal Journal de Mathématiques Pures et Appliquées Pages 30-69 Link Publication -
2022
Title A scalar Riemann–Hilbert problem on the torus: applications to the KdV equation DOI 10.1007/s13324-022-00715-4 Type Journal Article Author Piorkowski M Journal Analysis and Mathematical Physics Pages 112 Link Publication -
2022
Title WKB-based scheme with adaptive step size control for the Schrödinger equation in the highly oscillatory regime DOI 10.1016/j.cam.2021.113905 Type Journal Article Author Körner J Journal Journal of Computational and Applied Mathematics Pages 113905 Link Publication -
2024
Title Optimal convergence rates in L 2 for a first order system least squares finite element method - part II: Inhomogeneous Robin boundary conditions DOI 10.1016/j.camwa.2024.07.035 Type Journal Article Author Bernkopf M Journal Computers & Mathematics with Applications Pages 1-18 Link Publication -
2024
Title Stochastic Homogenization and Geometric Singularities: A Study on Corners DOI 10.1137/23m1559361 Type Journal Article Author Josien M Journal SIAM Journal on Mathematical Analysis Pages 2395-2455 Link Publication -
2024
Title Analysis of a Combined Filtered/Phase-Field Approach to Topology Optimization in Elasticity DOI 10.1007/s00245-024-10104-x Type Journal Article Author Auricchio F Journal Applied Mathematics & Optimization Pages 41 -
2019
Title Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics DOI 10.1016/j.jcp.2019.108866 Type Journal Article Author Kraus J Journal Journal of Computational Physics Pages 108866 Link Publication -
2019
Title Stationary Schrödinger equation in the semi-classical limit: WKB-based scheme coupled to a turning point DOI 10.1007/s10092-019-0349-9 Type Journal Article Author Arnold A Journal Calcolo Pages 3 Link Publication -
2023
Title Homogenisation of dynamical optimal transport on periodic graphs DOI 10.1007/s00526-023-02472-z Type Journal Article Author Gladbach P Journal Calculus of Variations and Partial Differential Equations Pages 143 Link Publication -
2023
Title Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs DOI 10.1051/m2an/2023036 Type Journal Article Author Becker R Journal ESAIM: Mathematical Modelling and Numerical Analysis Pages 2193-2225 Link Publication -
2023
Title Divergence-Conforming Velocity and Vorticity Approximations for Incompressible Fluids Obtained with Minimal Facet Coupling DOI 10.1007/s10915-023-02203-8 Type Journal Article Author Gopalakrishnan J Journal Journal of Scientific Computing Pages 91 Link Publication -
2023
Title Mathematical and numerical study of a kinetic model describing the evolution of planetary rings DOI 10.1016/j.camwa.2023.04.029 Type Journal Article Author Charles F Journal Computers & Mathematics with Applications Pages 48-56 Link Publication -
2023
Title A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature DOI 10.1016/j.jfa.2023.109963 Type Journal Article Author Feliciangeli D Journal Journal of Functional Analysis Pages 109963 Link Publication -
2023
Title Three-species drift-diffusion models for memristors DOI 10.1142/s0218202523500501 Type Journal Article Author Jourdana C Journal Mathematical Models and Methods in Applied Sciences Pages 2113-2156 Link Publication -
2023
Title The hypocoercivity index for the short time behavior of linear time-invariant ODE systems DOI 10.1016/j.jde.2023.06.027 Type Journal Article Author Achleitner F Journal Journal of Differential Equations Pages 83-115 Link Publication -
2023
Title A unified rational Krylov method for elliptic and parabolic fractional diffusion problems DOI 10.1002/nla.2488 Type Journal Article Author Danczul T Journal Numerical Linear Algebra with Applications Link Publication -
2023
Title Optimal convergence rates in L2 for a first order system least squares finite element method DOI 10.1051/m2an/2022026 Type Journal Article Author Bernkopf M Journal ESAIM: Mathematical Modelling and Numerical Analysis Pages 107-141 Link Publication -
2023
Title Spin-diffusion model for micromagnetics in the limit of long times DOI 10.1016/j.jde.2022.10.012 Type Journal Article Author Di Fratta G Journal Journal of Differential Equations Pages 467-494 Link Publication -
2023
Title The Shigesada–Kawasaki–Teramoto cross-diffusion system beyond detailed balance DOI 10.1016/j.jde.2023.02.048 Type Journal Article Author Chen X Journal Journal of Differential Equations Pages 260-286 Link Publication -
2023
Title A Time Splitting Method for the Three-Dimensional Linear Pauli Equation DOI 10.1515/cmam-2023-0094 Type Journal Article Author Gutleb T Journal Computational Methods in Applied Mathematics Pages 407-420 Link Publication -
2023
Title Hypocoercivity in Algebraically Constrained Partial Differential Equations with Application to Oseen Equations DOI 10.1007/s10884-023-10327-6 Type Journal Article Author Achleitner F Journal Journal of Dynamics and Differential Equations Pages 1-40 Link Publication -
2023
Title Plain convergence of goal-oriented adaptive FEM DOI 10.1016/j.camwa.2023.07.022 Type Journal Article Author Helml V Journal Computers & Mathematics with Applications Pages 130-149 Link Publication -
2023
Title Hypocoercivity and Reaction-Diffusion Limit for a Nonlinear Generation-Recombination Model DOI 10.1007/s00205-023-01902-8 Type Journal Article Author Favre G Journal Archive for Rational Mechanics and Analysis Pages 72 Link Publication -
2023
Title Parametrix problem for the Korteweg–de Vries equation with steplike initial data DOI 10.1016/j.jde.2023.06.052 Type Journal Article Author Piorkowski M Journal Journal of Differential Equations Pages 280-314 Link Publication -
2023
Title Nonlinear PDE Models in Semi-relativistic Quantum Physics DOI 10.1515/cmam-2023-0101 Type Journal Article Author Möller J Journal Computational Methods in Applied Mathematics Pages 453-465 Link Publication -
2023
Title The Influence of Nucleus Mechanics in Modelling Adhesion-independent Cell Migration in Structured and Confined Environments DOI 10.1007/s11538-023-01187-8 Type Journal Article Author Giverso C Journal Bulletin of Mathematical Biology Pages 88 Link Publication -
2023
Title Analysis of a finite-volume scheme for a single-species biofilm model DOI 10.1016/j.apnum.2022.12.002 Type Journal Article Author Helmer C Journal Applied Numerical Mathematics Pages 386-405 Link Publication -
2022
Title Goal-oriented adaptive finite element methods with optimal computational complexity DOI 10.1007/s00211-022-01334-8 Type Journal Article Author Becker R Journal Numerische Mathematik Pages 111-140 Link Publication -
2022
Title Evolutionary $\Gamma$-Convergence of Entropic Gradient Flow Structures for Fokker--Planck Equations in Multiple Dimensions DOI 10.1137/21m1410968 Type Journal Article Author Forkert D Journal SIAM Journal on Mathematical Analysis Pages 4297-4333 Link Publication -
2022
Title Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems DOI 10.1137/21m1458077 Type Journal Article Author Becker R Journal SIAM Journal on Numerical Analysis Pages 1450-1471 Link Publication -
2021
Title When do cross-diffusion systems have an entropy structure? DOI 10.1016/j.jde.2020.12.037 Type Journal Article Author Chen X Journal Journal of Differential Equations Pages 60-72 Link Publication -
2021
Title Existence analysis of a degenerate diffusion system for heat-conducting gases DOI 10.1007/s00030-021-00700-z Type Journal Article Author Favre G Journal Nonlinear Differential Equations and Applications NoDEA Pages 41 Link Publication -
2021
Title Analysis of Maxwell–Stefan systems for heat conducting fluid mixtures DOI 10.1016/j.nonrwa.2020.103263 Type Journal Article Author Helmer C Journal Nonlinear Analysis: Real World Applications Pages 103263 Link Publication -
2021
Title A virtual element method for the miscible displacement of incompressible fluids in porous media DOI 10.1016/j.cma.2020.113649 Type Journal Article Author Da Veiga L Journal Computer Methods in Applied Mechanics and Engineering Pages 113649 Link Publication -
2021
Title Rate optimality of adaptive finite element methods with respect to overall computational costs DOI 10.1090/mcom/3654 Type Journal Article Author Gantner G Journal Mathematics of Computation Pages 2011-2040 Link Publication -
2021
Title A finite-strain model for incomplete damage in elastoplastic materials DOI 10.1016/j.cma.2020.113571 Type Journal Article Author Melching D Journal Computer Methods in Applied Mechanics and Engineering Pages 113571 Link Publication -
2021
Title Surface characterization determined from the secondary electron emission coefficient upon ion bombardment DOI 10.1016/j.apsusc.2020.148042 Type Journal Article Author Hechenberger F Journal Applied Surface Science Pages 148042 -
2021
Title Quantitative Homogenization for the Case of an Interface Between Two Heterogeneous Media DOI 10.1137/20m1311983 Type Journal Article Author Josien M Journal SIAM Journal on Mathematical Analysis Pages 813-854 Link Publication -
2020
Title FEM–BEM mortar coupling for the Helmholtz problem in three dimensions DOI 10.1016/j.camwa.2020.04.014 Type Journal Article Author Mascotto L Journal Computers & Mathematics with Applications Pages 2351-2378 Link Publication -
2020
Title Convergence of a finite-volume scheme for a degenerate-singular cross-diffusion system for biofilms DOI 10.1093/imanum/draa040 Type Journal Article Author Daus E Journal IMA Journal of Numerical Analysis Link Publication -
2020
Title Adaptive IGAFEM with optimal convergence rates: T-splines DOI 10.1016/j.cagd.2020.101906 Type Journal Article Author Gantner G Journal Computer Aided Geometric Design Pages 101906 Link Publication -
2020
Title A Finite-Volume Scheme for a Cross-Diffusion Model Arising from Interacting Many-Particle Population Systems DOI 10.1007/978-3-030-43651-3_19 Type Book Chapter Author Jüngel A Publisher Springer Nature Pages 223-231 Link Publication -
2020
Title Electron-light interaction in nonequilibrium: exact diagonalization for time-dependent Hubbard Hamiltonians DOI 10.1140/epjp/s13360-020-00919-2 Type Journal Article Author Innerberger M Journal The European Physical Journal Plus Pages 922 Link Publication -
2020
Title Equilibrium for Multiphase Solids with Eulerian Interfaces DOI 10.1007/s10659-020-09800-w Type Journal Article Author Grandi D Journal Journal of Elasticity Pages 409-431 Link Publication -
2020
Title Analysis of Cross-Diffusion Systems for Fluid Mixtures Driven by a Pressure Gradient DOI 10.1137/19m1301473 Type Journal Article Author Druet P Journal SIAM Journal on Mathematical Analysis Pages 2179-2197 Link Publication -
2024
Title Viscosity Solutions for Nonlocal Equations with Space-Dependent Operators DOI 10.1137/22m1511503 Type Journal Article Author Buccheri S Journal SIAM Journal on Mathematical Analysis Pages 336-373 Link Publication -
2020
Title Enhancement of impact ionization in Hubbard clusters by disorder and next-nearest-neighbor hopping DOI 10.1103/physrevb.102.245125 Type Journal Article Author Kauch A Journal Physical Review B Pages 245125 Link Publication -
2020
Title On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs DOI 10.1080/07362994.2020.1857268 Type Journal Article Author Dhariwal G Journal Stochastic Analysis and Applications Pages 898-925 Link Publication -
2022
Title Analysis of a fractional cross-diffusion system for multi-species populations DOI 10.1016/j.jde.2022.03.028 Type Journal Article Author Jüngel A Journal Journal of Differential Equations Pages 237-267 Link Publication -
2022
Title Domain decomposition and upscaling technique for metascreens DOI 10.1108/compel-03-2021-0073 Type Journal Article Author Leumüller M Journal COMPEL - The international journal for computation and mathematics in electrical and electronic engi Pages 938-953 Link Publication -
2022
Title Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs DOI 10.1016/j.camwa.2022.05.008 Type Journal Article Author Becker R Journal Computers & Mathematics with Applications Pages 18-35 Link Publication -
2022
Title Stable Implementation of Adaptive IGABEM in 2D in MATLAB DOI 10.1515/cmam-2022-0050 Type Journal Article Author Gantner G Journal Computational Methods in Applied Mathematics Pages 563-590 Link Publication -
2022
Title The Mass-Lumped Midpoint Scheme for Computational Micromagnetics: Newton Linearization and Application to Magnetic Skyrmion Dynamics DOI 10.1515/cmam-2022-0060 Type Journal Article Author Di Fratta G Journal Computational Methods in Applied Mathematics Pages 145-175 Link Publication -
2022
Title Time domain boundary integral equations and convolution quadrature for scattering by composite media DOI 10.1090/mcom/3730 Type Journal Article Author Rieder A Journal Mathematics of Computation Pages 2165-2195 Link Publication -
2022
Title A reduced basis method for fractional diffusion operators I DOI 10.1007/s00211-022-01287-y Type Journal Article Author Danczul T Journal Numerische Mathematik Pages 369-404 Link Publication -
2022
Title A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems DOI 10.1093/imanum/drab101 Type Journal Article Author Jüngel A Journal IMA Journal of Numerical Analysis Pages 560-589 Link Publication -
2022
Title Derivation of a fractional cross-diffusion system as the limit of a stochastic many-particle system driven by Lévy noise DOI 10.1016/j.jde.2021.11.027 Type Journal Article Author Daus E Journal Journal of Differential Equations Pages 386-426 Link Publication -
2021
Title On the dynamic slip boundary condition for Navier–Stokes-like problems DOI 10.1142/s0218202521500470 Type Journal Article Author Abbatiello A Journal Mathematical Models and Methods in Applied Sciences Pages 2165-2212 Link Publication -
2021
Title Rigorous Derivation of Population Cross-Diffusion Systems from Moderately Interacting Particle Systems DOI 10.1007/s00332-021-09747-9 Type Journal Article Author Chen L Journal Journal of Nonlinear Science Pages 94 Link Publication -
2021
Title Quantum Drift-Diffusion Equations for a Two-Dimensional Electron Gas with Spin-Orbit Interaction DOI 10.1007/978-3-030-82946-9_2 Type Book Chapter Author Barletti L Publisher Springer Nature Pages 51-67 -
2021
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2021
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2021
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2021
Title A Convergent Structure-Preserving Finite-Volume Scheme for the Shigesada--Kawasaki--Teramoto Population System DOI 10.1137/20m1381058 Type Journal Article Author Jüngel A Journal SIAM Journal on Numerical Analysis Pages 2286-2309 Link Publication -
2018
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2018
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2018
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2018
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2018
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2020
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2020
Title Corrigendum: Cross Diffusion Preventing Blow-Up in the Two-Dimensional Keller--Segel Model DOI 10.1137/19m1293089 Type Journal Article Author Braukhoff M Journal SIAM Journal on Mathematical Analysis Pages 2198-2200 Link Publication -
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Title Instance-Optimal Goal-Oriented Adaptivity DOI 10.1515/cmam-2019-0115 Type Journal Article Author Innerberger M Journal Computational Methods in Applied Mathematics Pages 109-126 Link Publication -
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Title Wavenumber Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems DOI 10.1137/19m1253952 Type Journal Article Author Melenk J Journal SIAM Journal on Numerical Analysis Pages 2119-2143 Link Publication -
2020
Title Large-time asymptotics for a matrix spin drift-diffusion model DOI 10.1016/j.jmaa.2020.123887 Type Journal Article Author Holzinger P Journal Journal of Mathematical Analysis and Applications Pages 123887 Link Publication -
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2020
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2020
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2020
Title Computational micromagnetics with Commics DOI 10.1016/j.cpc.2019.106965 Type Journal Article Author Pfeiler C Journal Computer Physics Communications Pages 106965 Link Publication -
2020
Title Longtime behavior and weak-strong uniqueness for a nonlocal porous media equation DOI 10.1016/j.jde.2019.09.029 Type Journal Article Author Daus E Journal Journal of Differential Equations Pages 1820-1839 Link Publication -
2020
Title Vanishing cross-diffusion limit in a Keller–Segel system with additional cross-diffusion DOI 10.1016/j.na.2019.111698 Type Journal Article Author Jüngel A Journal Nonlinear Analysis Pages 111698 Link Publication -
2020
Title Cross-diffusion systems and fast-reaction limits DOI 10.1016/j.bulsci.2019.102824 Type Journal Article Author Daus E Journal Bulletin des Sciences Mathématiques Pages 102824 Link Publication -
2020
Title Sharp decay estimates in local sensitivity analysis for evolution equations with uncertainties: From ODEs to linear kinetic equations DOI 10.1016/j.jde.2019.08.047 Type Journal Article Author Arnold A Journal Journal of Differential Equations Pages 1156-1204 Link Publication -
2020
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2020
Title Optimal convergence behavior of adaptive FEM driven by simple ( h - h / 2 ) -type error estimators DOI 10.1016/j.camwa.2019.07.014 Type Journal Article Author Erath C Journal Computers & Mathematics with Applications Pages 623-642 Link Publication -
2020
Title Extension of the nonconforming Trefftz virtual element method to the Helmholtz problem with piecewise constant wave number DOI 10.1016/j.apnum.2019.04.005 Type Journal Article Author Mascotto L Journal Applied Numerical Mathematics Pages 160-180 Link Publication -
2020
Title Optimal Convergence Rates for Goal-Oriented FEM with Quadratic Goal Functional DOI 10.1515/cmam-2020-0044 Type Journal Article Author Becker R Journal Computational Methods in Applied Mathematics Pages 267-288 Link Publication -
2020
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2020
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2020
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2017
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2017
Title Two scale Hardy space infinite elements for scalar waveguide problems DOI 10.1007/s10444-017-9549-5 Type Journal Article Author Halla M Journal Advances in Computational Mathematics Pages 611-643 Link Publication -
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Title A steady, purely azimuthal flow model for the Antarctic Circumpolar Current DOI 10.1007/s00605-017-1097-z Type Journal Article Author Quirchmayr R Journal Monatshefte für Mathematik Pages 565-572 Link Publication -
2017
Title Shallow water equations for equatorial tsunami waves DOI 10.1098/rsta.2017.0100 Type Journal Article Author Geyer A Journal Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Pages 20170100 Link Publication -
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Title Shape-Aware Matching of Implicit Surfaces Based on Thin Shell Energies DOI 10.1007/s10208-017-9357-9 Type Journal Article Author Iglesias J Journal Foundations of Computational Mathematics Pages 891-927 Link Publication -
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2021
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2019
Title Exponential Time Decay of Solutions to Reaction-Cross-Diffusion Systems of Maxwell–Stefan Type DOI 10.1007/s00205-019-01439-9 Type Journal Article Author Daus E Journal Archive for Rational Mechanics and Analysis Pages 1059-1104 Link Publication -
2019
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2019
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2014
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Title A finite-volume scheme for a spinorial matrix drift-diffusion model for semiconductors DOI 10.1002/num.22030 Type Journal Article Author Chainais-Hillairet C Journal Numerical Methods for Partial Differential Equations Pages 819-846 Link Publication -
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Title Texture generation in compressional photoacoustic elastography DOI 10.1117/12.2079672 Type Conference Proceeding Abstract Author Schmid J -
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Title Zero energy scattering for one-dimensional Schrödinger operators and applications to dispersive estimates DOI 10.1090/bproc/19 Type Journal Article Author Egorova I Journal Proceedings of the American Mathematical Society, Series B Pages 51-59 Link Publication -
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Title A Penalization Method for Calculating the Flow Beneath Traveling Water Waves of Large Amplitude DOI 10.1137/14096966x Type Journal Article Author Constantin A Journal SIAM Journal on Applied Mathematics Pages 1513-1535 -
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Title Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements DOI 10.1002/num.22025 Type Journal Article Author Feischl M Journal Numerical Methods for Partial Differential Equations Pages 603-632 Link Publication -
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Title An extended Filament Based Lamellipodium Model produces various moving cell shapes in the presence of chemotactic signals DOI 10.1016/j.jtbi.2015.06.044 Type Journal Article Author Manhart A Journal Journal of Theoretical Biology Pages 244-258 Link Publication -
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Title A Degenerate Fourth-Order Parabolic Equation Modeling Bose-Einstein Condensation Part II: Finite-Time Blow-Up DOI 10.1080/03605302.2015.1043558 Type Journal Article Author Jüngel A Journal Communications in Partial Differential Equations Pages 1748-1786 Link Publication -
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Title Modeling-based determination of physiological parameters of systemic VOCs by breath gas analysis: a pilot study DOI 10.1088/1752-7155/9/3/036002 Type Journal Article Author Unterkofler K Journal Journal of Breath Research Pages 036002 Link Publication -
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Title Optimal additive Schwarz methods for the hp-BEM: The hypersingular integral operator in 3D on locally refined meshes DOI 10.1016/j.camwa.2015.06.025 Type Journal Article Author Führer T Journal Computers & Mathematics with Applications Pages 1583-1605 Link Publication -
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Title Analysis of an Incompressible Navier–Stokes–Maxwell–Stefan System DOI 10.1007/s00220-015-2472-z Type Journal Article Author Chen X Journal Communications in Mathematical Physics Pages 471-497 Link Publication