Publications

J. Jäschke, M. Ehrhardt, M. Günther and B. Jacob, "A two-dimensional port-Hamiltonian model for coupled heat transfer", Mathematics, vol. 10, no. 24, pp. 4635, 2022. MDPI.

DOI: 10.3390/math10244635

S. Treibert, H. Brunner and M. Ehrhardt, "A nonstandard finite difference scheme for the SVICDR model to predict COVID-19 dynamics", Mathematical Biosciences and Engineering, vol. 19, no. 2, pp. 1213–1238, 2022. AIMS Press.

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H. Fatoorehchi and M. Ehrhardt, "Numerical and semi-numerical solutions of a modified Thévenin model for calculating terminal voltage of battery cells", Journal of Energy Storage, vol. 45, pp. 103746, 2022. Elsevier.

DOI: 10.1016/j.est.2021.103746

M. Ehrhardt and M. Günther, "A neural network enhanced weighted essentially non-oscillatory method for nonlinear degenerate parabolic equations", Physics of Fluids, vol. 34, no. 2, pp. 026604, 2022. AIP Publishing.

DOI: 10.1063/5.0078397

M. Muniz, M. Ehrhardt, M. Günther and R. Winkler, "Stochastic Runge-Kutta-Munthe-Kaas methods in the modelling of perturbed rigid bodies", Advances in Applied Mathematics and Mechanics, vol. 14, no. 2, pp. 528–538, 2022. Global Science Press.

DOI: 10.4208/aamm.OA-2021-0176

M. Ehrhardt, "A physics-informed neural network to model COVID-19 infection and hospitalization scenarios", Advances in continuous and discrete models, vol. 2022, no. 1, pp. 1–27, 2022. Springer Science and Business Media Deutschland GmbH.

DOI: 10.1186/s13662-022-03733-5

M. Ehrhardt, "An efficient second-order method for the linearized Benjamin-Bona-Mahony equation with artificial boundary conditions", Preprint IMACM, 2022. Bergische Universität Wuppertal.

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Progress in Industrial Mathematics at ECMI 2021. Springer Cham, 2022.

DOI: 10.1007/978-3-031-11818-0

ISBN: 978-3-031-11817-3

M. Muniz, M. Ehrhardt, M. Günther and R. Winkler, "Higher strong order methods for linear Itô SDEs on matrix Lie groups", BIT Numerical Mathematics, vol. 62, no. 3, pp. 1095–1119, 2022. Springer Netherlands.

DOI: 10.1007/s10543-021-00905-9

M. W. Bannenberg, F. Kasolis, M. Günther and M. Clemens, "Maximum entropy snapshot sampling for reduced basis modelling", COMPEL-The international journal for computation and mathematics in electrical and electronic engineering, vol. 41, no. 3, pp. 954–966, 2022. Emerald Publishing.

DOI: 10.1108/COMPEL-02-2021-0050

M. Günther and A. Sandu, "Multirate linearly-implicit GARK schemes", BIT Numerical Mathematics, pp. 869–901, 2022. Springer Netherlands.

DOI: 10.1007/s10543-021-00898-5

M. Clemens, M. Henkel, F. Kasolis, M. Günther, H. De Gersem and S. Schöps, "Electromagnetic quasistatic field formulations of Darwin type", Preprint, pp. 1–7, 2022.

DOI: 10.48550/arXiv.2204.06286

M. Henkel, F. Kasolis, M. Clemens, M. Günther and S. Schöps, "Implicit gauging of electromagneto-quasistatic field formulations", IEEE Transactions on Magnetics, vol. 58, no. 9, pp. 1–4, 2022. IEEE.

DOI: 10.1109/TMAG.2022.3187869

M. W. Bannenberg, A. Ciccazzo and M. Günther, "Reduced order multirate schemes in industrial circuit simulation", Journal of Mathematics in Industry, vol. 12, no. 1, pp. 12, 2022. Springer Verlag.

DOI: 10.1186/s13362-022-00127-w

S. Ankirchner, T. Kruse, W. Löhr and M. Urusov, "Properties of the EMCEL scheme for approximating irregular diffusions", Journal of Mathematical Analysis and Applications, vol. 509, no. 1, pp. 125931, 2022. Academic Press.

DOI: 10.1016/j.jmaa.2021.125931

M. Hutzenthaler, A. Jentzen and T. Kruse, "Overcoming the curse of dimensionality in the numerical approximation of parabolic partial differential equations with gradient-dependent nonlinearities", Foundations of Computational Mathematics, vol. 22, no. 4, pp. 905–966, 2022. Springer New York.

DOI: 10.1007/s10208-021-09514-y

J. Ackermann, T. Kruse and L. Overbeck, "Inhomogeneous affine Volterra processes", Stochastic Processes and their Applications, vol. 150, pp. 250–279, 2022. North-Holland.

DOI: 10.1016/j.spa.2022.04.011

M. Hutzenthaler, T. Kruse and T. A. Nguyen, "Multilevel Picard approximations for McKean-Vlasov stochastic differential equations", Journal of Mathematical Analysis and Applications, vol. 507, no. 1, pp. 125761, 2022. Academic Press.

DOI: 10.1016/j.jmaa.2021.125761

M. Hutzenthaler, T. Kruse and T. A. Nguyen, "On the speed of convergence of Picard iterations of BSDEs", Probability, Uncertainty and Quantitative Risk, vol. 7, no. 2, 2022. American Institute of Mathematical Sciences.

DOI: 10.3934/puqr.2022009

F. Klass, A. Gabbana and A. Bartel, "A non-equilibrium bounce-back boundary condition for thermal multispeed LBM", Journal of Computational Science, vol. 53, pp. 101364, 2021. Elsevier.

DOI: 10.1016/j.jocs.2021.101364