| On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations A Arnold, P Markowich, G Toscani, A Unterreiter Taylor & Francis Group 26 (1-2), 43-100, 2001 | 519 | 2001 |
| A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations X Antoine, A Arnold, C Besse, M Ehrhardt, A Schädle Berlin: Weierstraß-Institut für Angewandte Analysis und Stochastik, 2008 | 478 | 2008 |
| Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability A Arnold, M Ehrhardt, I Sofronov | 245 | 2003 |
| Numerically absorbing boundary conditions for quantum evolution equations A Arnold VLSI design 6, 313-319, 1998 | 226 | 1998 |
| Discrete transparent boundary conditions for the Schrödinger equation A Arnold, M Ehrhardt | 167 | 2001 |
| On generalized csiszár-kullback inequalitieys A Unterreiter, A Arnold, P Markowich, G Toscani Monatshefte für Mathematik 131, 235-253, 2000 | 134 | 2000 |
| Entropies and equilibria of many-particle systems: an essay on recent research A Arnold, JA Carrillo, L Desvillettes, J Dolbeault, A Jüngel, C Lederman, ... Nonlinear Differential Equation Models, 35-43, 2004 | 111 | 2004 |
| Discrete transparent boundary conditions for wide angle parabolic equations in underwater acoustics A Arnold, M Ehrhardt Journal of Computational Physics 145 (2), 611-638, 1998 | 108 | 1998 |
| An analysis of quantum Fokker–Planck models: A Wigner function approach A Arnold, JL López, PA Markowich, J Soler Revista matemática iberoamericana 20 (3), 771-814, 2004 | 106 | 2004 |
| Self-consistent relaxation-time models in quantum mechanics A Arnold Communications in Partial Differential Equations 21 (3-4), 473-506, 1996 | 93 | 1996 |
| Mathematical concepts of open quantum boundary conditions A Arnold Transport Theory and Statistical Physics 30 (4-6), 561-584, 2001 | 92 | 2001 |
| A molecular dynamics study of the structure of liquid germanium A Arnold, N Mauser, J Hafner Journal of Physics: Condensed Matter 1 (5), 965, 1989 | 81 | 1989 |
| On large time asymptotics for drift-diffusion-Poisson systems A Arnold, P Markowich, G Toscani Transport Theory and Statistical Physics 29 (3-5), 571-581, 2000 | 77 | 2000 |
| An operator splitting method for the Wigner–Poisson problem A Arnold, C Ringhofer SIAM journal on numerical analysis 33 (4), 1622-1643, 1996 | 75 | 1996 |
| Mathematical properties of quantum evolution equations G Allaire, A Arnold, P Degond, TY Hou, A Arnold Quantum Transport: Modelling, Analysis and Asymptotics—Lectures given at …, 2008 | 66 | 2008 |
| Sharp entropy decay for hypocoercive and non-symmetric Fokker-Planck equations with linear drift A Arnold, J Erb arXiv preprint arXiv:1409.5425, 2014 | 64 | 2014 |
| A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in (1+ 1) D R Hammer, W Pötz, A Arnold Journal of Computational Physics 256, 728-747, 2014 | 61 | 2014 |
| Existence of nontrivial steady states for populations structured with respect to space and a continuous trait A Arnold, L Desvillettes, C Prévost Commun. Pure Appl. Anal 11 (1), 83-96, 2012 | 58 | 2012 |
| Large-time behavior in non-symmetric Fokker-Planck equations F Achleitner, A Arnold, D Stürzer arXiv preprint arXiv:1506.02470, 2015 | 54 | 2015 |
| Discrete transparent boundary conditions for the Schrödinger equation on circular domains A Arnold, M Ehrhardt, M Schulte, I Sofronov Berlin: Weierstraß-Institut für Angewandte Analysis und Stochastik, 2008 | 50 | 2008 |
Matthias EhrhardtProfessor for Applied Mathematics and Numerical AnalysisBestätigte E-Mail-Adresse bei math.uni-wuppertal.de
