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, "Approximation and fast calculation of non-local boundary conditions for the time-dependent Schrödinger equation" in Domain Decomposition Methods in Science and Engineering, Barth, Timothy J. and Griebel, Michael and Keyes, David E. and Nieminen, Risto M. and Roose, Dirk and Schlick, Tamar and Kornhuber, Ralf and Hoppe, Ronald and Périaux, Jacques and Pironneau, Olivier and Widlund, Olof and Xu, Jinchao, Eds. Springer Berlin Heidelberg, 2005, pp. 141–148.

M. Ehrhardt, "Discrete transparent boundary conditions for transient kp-Schrödinger equations with application to quantum heterostructures", ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik, vol. 85, no. 11, pp. 793–805, 2005. WILEY-VCH Verlag.

M. Ehrhardt, "Finite difference schemes on unbounded domains" in Advances in the Applications of Nonstandard Finite Difference Schemes, World Scientific Publishing, 2005, pp. 343–384.

M. Ehrhardt, "Discrete transparent boundary conditions for wide angle parabolic equations for non-vanishing starting fields", Preprint, Research Center Matheon, pp. 1–15, 2005. Technische Universität Berlin.

M. Ehrhardt, "Solutions to the discrete Airy equation: Application to parabolic equation calculations", Journal of Computational and Applied Mathematics, vol. 172, no. 1, pp. 183–206, 2004. North-Holland.

M. Ehrhardt, "Discrete transparent boundary conditions for wide angle parabolic equations: Fast calculation and approximation" in Seventh European Conference on Underwater Acoustics, 2004, pp. 9–14.

M. Ehrhardt, "Discrete transparent boundary conditions for time-dependent systems of Schrödinger equations", Preprint, Research Center Matheon, pp. 1–26, 2004. Technische Universität Berlin.

M. Ehrhardt, "Discrete transparent boundary conditions for the Schrödinger equation: Fast calculation, approximation, and stability", Communications in Mathematical Sciences, vol. 1, no. 3, pp. 501–556, 2003. International Press.

M. Ehrhardt, "A fast method to implement non-local discrete transparent boundary conditions for the Schrödinger equation", PAMM: Proceedings in Applied Mathematics and Mechanics, vol. 2, no. 1, pp. 424–425, 2003. WILEY-VCH Verlag.

M. Ehrhardt, "Efficient numerical implementation of discrete transparent boundary conditions for parabolic equations in underwater acoustics", Acta Acustica united with Acustica, vol. 88, no. 5, pp. 711–713, 2002. S. Hirzel Verlag GmbH.

M. Ehrhardt, "Discrete transparent boundary conditions for the Schrödinger equation", Rivista di Mathematica della Universita di Parma, vol. 6, no. 4, pp. 57–108, 2001. Università di Parma.

M. Ehrhardt, "Discrete artificial boundary conditions", Ph.D. Thesis, Technische Universität Berlin, 2001., 2001.

M. Ehrhardt, "Discrete transparent boundary conditions for general Schrödinger-type equations", VLSI Design, vol. 9, no. 4, pp. 325–338, 1999. Hindawi Publishing.

M. Ehrhardt, "Discrete transparent boundary conditions for wide angle parabolic equations in underwater acoustics", Journal of Computational Physics, vol. 145, no. 2, pp. 611–638, 1998. Elsevier.

M. Ehrhardt, "Discrete transparent boundary conditions for parabolic equations", ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik, vol. 77, no. S2, pp. S543–S592, 1997. WILEY-VCH Verlag.