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 Communications in Computational Physics 4 (4), 729-796, 2008 | 490 | 2008 |
Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability A Arnold, M Ehrhardt, I Sofronov Communications in Mathematical Sciences 1 (3), 501-556, 2003 | 241 | 2003 |
On the numerical solution of nonlinear Black-Scholes equations J Ankudinova, M Ehrhardt Computers & Mathematics with Applications 56 (3), 799-812, 2008 | 206 | 2008 |
Discrete transparent boundary conditions for the Schrödinger equation A Arnold, M Ehrhardt Rivista di Mathematica della Universita di Parma 6 (4), 57-108, 2001 | 161 | 2001 |
Discrete Transparent Boundary Conditions for Wide Angle Parabolic Equations in Underwater Acoustics A Arnold, M Ehrhardt Journal of Computational Physics 145, 469-470, 1998 | 109 | 1998 |
A fast, stable and accurate numerical method for the Black-Scholes equation of American options M Ehrhardt, RE Mickens International Journal of Theoretical and Applied Finance 11 (05), 471-501, 2008 | 86 | 2008 |
SIR-based mathematical modeling of infectious diseases with vaccination and waning immunity M Ehrhardt, J Gašper, S Kilianová Journal of Computational Science 37, 101027, 2019 | 69 | 2019 |
Discrete artificial boundary conditions M Ehrhardt Ph.D. Thesis, Technische Universität Berlin, 2001., 2001 | 65 | 2001 |
A discrete Adomian decomposition method for discrete nonlinear Schrödinger equations A Bratsos, M Ehrhardt, IT Famelis Applied Mathematics and Computation 197 (1), 190-205, 2008 | 63 | 2008 |
An introduction to fluid-porous interface coupling M Ehrhardt Progress in Computational Physics (PiCP) 2, 3-12, 2012 | 62 | 2012 |
Adequate numerical solution of air pollution problems by positive difference schemes on unbounded domains QA Dang, M Ehrhardt Mathematical and Computer Modelling 44 (9-10), 834-856, 2006 | 53 | 2006 |
Discrete transparent boundary conditions for Schrödinger-type equations for non-compactly supported initial data M Ehrhardt Applied Numerical Mathematics 58 (5), 660-673, 2008 | 52 | 2008 |
Discrete transparent boundary conditions for the Schrödinger equation on circular domains A Arnold, M Ehrhardt, M Schulte, I Sofronov Communications in Mathematical Sciences 10 (3), 889-916, 2012 | 50* | 2012 |
A nonstandard finite difference scheme for convection–diffusion equations having constant coefficients M Ehrhardt, RE Mickens Applied Mathematics and Computation 219 (12), 6591-6604, 2013 | 49 | 2013 |
Nonlinear models in mathematical finance: new research trends in option pricing M Ehrhardt (No Title), 360, 2008 | 49 | 2008 |
Numerical simulation of waves in periodic structures M Ehrhardt, H Han, C Zheng Communications in Computational Physics 5 (5), 849-870, 2009 | 48 | 2009 |
Multi-Band Effective Mass Approximations: Advanced Mathematical Models and Numerical Techniques M Ehrhardt, T Koprucki Lecture Notes in Computational Science, Springer, https://doi.org/10.1007 …, 2014 | 47 | 2014 |
Modelling stochastic correlation L Teng, M Ehrhardt, M Günther Journal of Mathematics in Industry 6, 1-18, 2016 | 43 | 2016 |
Characteristic boundary conditions in the lattice Boltzmann method for fluid and gas dynamics D Heubes, A Bartel, M Ehrhardt Journal of Computational and Applied Mathematics 262, 51-61, 2014 | 42 | 2014 |
Solutions to the discrete Airy equation: Application to parabolic equation calculations M Ehrhardt, RE Mickens Journal of Computational and Applied Mathematics 172 (1), 183-206, 2004 | 40 | 2004 |