Publikationen Prof. Dr. Matthias Ehrhardt
- 2009
- M. Ehrhardt, "Implementing exact absorbing boundary condition for the linear one-dimensional Schrödinger problem with variable potential by Titchmarsh-Weyl theory", Preprint WIAS, no. 1426, 2009. Weierstraß-Institut für Angewandte Analysis und Stochastik.
- M. Ehrhardt, "Numerical simulation of quantum wave guides" in VLSI and Computer Architecture, Watanabe, K., Eds. Nova Science Publishers, 2009, pp. 115–138.
- M. Ehrhardt, "Numerical simulation of waves in periodic structures", Communications in Computational Physics, vol. 5, no. 5, pp. 849–870, 2009. Global Science Press.
- L. Šumichrast and M. Ehrhardt, "On the Transparent Boundary Conditions (TBC) for the parabolic wave equation" in ISTET 2009 - VXV International Symposium on Theoretical Engineering, VDE Verlag, 2009, pp. 1–1.
- 2008
- M. Ehrhardt, "A discrete Adomian decomposition method for the discrete nonlinear Schrödinger equation", Applied Mathematics and Computation, vol. 197, no. 1, pp. 190–205, 2008. Elsevier.
- M. Ehrhardt, "A fast, stable and accurate numerical method for the Black-Scholes equation of American options", International Journal of Theoretical and Applied Finance, vol. 11, no. 05, pp. 471–501, 2008. World Scientific Publishing.
- M. Ehrhardt, "A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations", Communications in Computational Physics, vol. 4, no. 4, pp. 729–796, 2008. Global Science Press.
- M. Ehrhardt, "Discrete artificial boundary conditions for nonlinear Schrödinger equations", Mathematical and Computer Modelling, vol. 47, no. 11-12, pp. 1264–1283, 2008. Pergamon.
- M. Ehrhardt, "Discrete models for the cube-root differential equation", Neural, Parallel and Scientific Computations, vol. 16, no. 2, pp. 179–188, 2008. Dynamic Publishers.
- M. Ehrhardt, "Discrete transparent boundary conditions for Schrödinger-type equations for non-compactly supported initial data", Applied Numerical Mathematics, vol. 58, no. 5, pp. 660–673, 2008. Elsevier.
- M. Ehrhardt, "Evaluation of exact boundary mappings for one-dimensional semi-infinite periodic arrays", Preprint WIAS, no. 1358, 2008. Weierstraß-Institut für Angewandte Analysis und Stochastik.
- M. Ehrhardt, "Exact artificial boundary conditions for problems with periodic structures", Journal of Computational Physics, vol. 227, no. 14, pp. 6877–6894, 2008. Academic Press.
- M. Ehrhardt, "Mathematical modeling of channel-porous layer interfaces in PEM fuel cells" in Proceedings of FDFC2008 - Fundamentals and Developments of Fuel Cell Conference 2008, 2008.
- Nonlinear Models in Mathematical Finance: New Research Trends in Option Pricing. Nova Science Publishers, 2008.
ISBN: 978-1-60456-931-5
- M. Ehrhardt, "Nonlinear models in option pricing: An introduction" in Nonlinear Models in Mathematical Finance: New Research Trends in Option Pricing, Ehrhardt, Matthias, Eds. Nova Science Publishers, 2008, pp. 1–19.
- M. Ehrhardt, "On the numerical solution of nonlinear Black-Scholes equations", Computers & Mathematics with Applications, vol. 56, no. 3, pp. 799–812, 2008. Pergamon.
- 2007
- M. Ehrhardt, "A review of artificial boundary conditions for the Schrödinger equation", PAMM: Proceedings in Applied Mathematics and Mechanics, vol. 7, no. 1, pp. 1023201–1023202, 2007. WILEY-VCH Verlag.
- M. Ehrhardt, "Discrete non-local boundary conditions for split-step Padé approximations of the one-way Helmholtz equation", Journal of Computational and Applied Mathematics, vol. 200, no. 2, pp. 471–490, 2007. North-Holland.
- Q. A. Dang, M. Ehrhardt, G. L. Tran and D. Le, "On the numerical solution of some problems of environmental pollution", Air pollution research advances, pp. 171–200, 2007. Nova Science Publishers.
- L. Šumichrast and M. Ehrhardt, "On the three formulations of trans-parent boundaries for the beam propagation method" in AMTEE'07: 8th International Conference on Advanced Methods in the Theory of Electrical Engineering, University of West Bohemia, 2007.
- 2006
- Q. A. Dang and M. Ehrhardt, "Adequate numerical solution of air pollution problems by positive difference schemes on unbounded domains", Mathematical and Computer Modelling, vol. 44, no. 9-10, pp. 834–856, 2006. Pergamon.
- M. Ehrhardt, "Discrete artificial boundary conditions for the Black-Scholes equation of American options", Preprint, Research Center Matheon, pp. 1–25, 2006. Technische Universität Berlin.
- M. Ehrhardt, "Discrete transparent boundary conditions for parabolic systems", Mathematical and Computer Modelling, vol. 43, no. 3-4, pp. 294–309, 2006. Pergamon.
- M. Ehrhardt, "Discrete transparent boundary conditions for the two dimensional Schrödinger equation", Preprint, Research Center Matheon, pp. 1–24, 2006. Technische Universität Berlin.
- M. Ehrhardt, "Fast calculation of energy and mass preserving solutions of Schrödinger-Poisson systems on unbounded domains", Journal of Computational and Applied Mathematics, vol. 187, no. 1, pp. 1–28, 2006. North-Holland.
