Matthias Ehrhardt
Matthias Ehrhardt
Professor for Applied Mathematics and Numerical Analysis
Verified email at - Homepage
Cited by
Cited by
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
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
On the numerical solution of nonlinear Black-Scholes equations
J Ankudinova, M Ehrhardt
Computers & Mathematics with Applications 56 (3), 799-812, 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
Discrete Transparent Boundary Conditions for Wide Angle Parabolic Equations in Underwater Acoustics
A Arnold, M Ehrhardt
Journal of Computational Physics 145, 469-470, 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
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
Discrete artificial boundary conditions
M Ehrhardt
Ph.D. Thesis, Technische Universität Berlin, 2001., 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
An introduction to fluid-porous interface coupling
M Ehrhardt
Progress in Computational Physics (PiCP) 2, 3-12, 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
Discrete transparent boundary conditions for Schrödinger-type equations for non-compactly supported initial data
M Ehrhardt
Applied Numerical Mathematics 58 (5), 660-673, 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
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
Nonlinear models in mathematical finance: new research trends in option pricing
M Ehrhardt
(No Title), 360, 2008
Numerical simulation of waves in periodic structures
M Ehrhardt, H Han, C Zheng
Communications in Computational Physics 5 (5), 849-870, 2009
Multi-Band Effective Mass Approximations: Advanced Mathematical Models and Numerical Techniques
M Ehrhardt, T Koprucki
Lecture Notes in Computational Science, Springer, …, 2014
Modelling stochastic correlation
L Teng, M Ehrhardt, M Günther
Journal of Mathematics in Industry 6, 1-18, 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
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
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