Publications Ehrhardt

F. Klass, A. Gabbana and A. Bartel, "A non-reflecting boundary condition for multispeed lattice Boltzmann methods" in Progress in Industrial Mathematics at ECMI 2021, Ehrhardt, Matthias and Günther, Michael, Eds. Springer Cham, 2022, pp. 447–453.

DOI: 10.1007/978-3-031-11818-0_58

M. Muniz, M. Ehrhardt and M. Günther, "Correlation matrices driven by stochastic isospectral flows" in Progress in Industrial Mathematics at ECMI 2021, Springer Cham, 2022, pp. 455–461.

DOI: 10.1007/978-3-031-11818-0_59

J. Jäschke, M. Ehrhardt, M. Günther and B. Jacob, "Discrete port-Hamiltonian coupled heat transfer" in Progress in Industrial Mathematics at ECMI 2021, Ehrhardt, Matthias and Günther, Michael, Eds. Springer Cham, 2022, pp. 439–445.

DOI: 10.1007/978-3-031-11818-0_57

T. Kossaczká, M. Ehrhardt and M. Günther, "A deep smoothness WENO method with applications in option pricing" in Progress in Industrial Mathematics at ECMI 2021, Ehrhardt, Matthias and Günther, Michael, Eds. Springer Cham, 2022, pp. 417–423.

DOI: 10.1007/978-3-031-11818-0_54

M. Ehrhardt, "Transparent boundary conditions for the sine-Gordon equation: Modeling the reflectionless propagation of kink solitons on a line", Physics Letters, Section A, vol. 423, pp. 127822, 2022. Elsevier.

DOI: 10.1016/j.physleta.2021.127822

J. Jäschke, M. Ehrhardt, M. Günther and B. Jacob, "A port-Hamiltonian formulation of coupled heat transfer", Mathematical and Computer Modelling of Dynamical Systems, vol. 28, no. 1, pp. 78–94, 2022. Taylor & Francis.

DOI: 10.1080/13873954.2022.2038637

M. Ehrhardt, "On decomposition of the fundamental solution of the Helmholtz equation over solutions of iterative parabolic equations", Asymptotic Analysis, vol. 126, no. 3-4, pp. 215–228, 2022. IOS Press.

DOI: 10.3233/ASY-211679

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

A. Bartel and M. Ehrhardt, "Lagrangian instabilities in thermal convection with stable temperature profiles", Preprint IMACM, 2022. Bergische Universität Wuppertal.

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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

A. Bartel and M. Ehrhardt, "Large-scale convective flow sustained by thermally active Lagrangian tracers", Journal of Fluid Mechanics, vol. 953, pp. A5, 2022. Cambridge University Press.

DOI: 10.1017/jfm.2022.892

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

J. Backhaus, M. Bolten, O. Tanil Doganay, M. Ehrhardt, B. Engel, C. Frey, H. Gottschalk, M. Günther, C. Hahn, J. Jäschke and others, "GivEn - Shape optimization for gas turbines in volatile energy networks", Mathematical Modeling, Simulation and Optimization for Power Engineering and Management, pp. 71–106, 2021. Springer Cham.

DOI: 10.1007/978-3-030-62732-4_4

M. Muniz, M. Ehrhardt and M. Günther, "Approximating correlation matrices using stochastic Lie group methods", Mathematics, vol. 9, no. 1, pp. 94, 2021. MDPI.

DOI: 10.3390/math9010094

P. Csomós, M. Ehrhardt and B. Farkas, "Operator splitting for abstract Cauchy problems with dynamical boundary condition", Operators and Matrices, vol. 15, no. 3, pp. 903–935, 2021. Element d.o.o.

DOI: 10.7153/oam-2021-15-60

M. Ehrhardt, "Pricing basket default swaps using quasi-analytic techniques", Decisions in Economics and Finance, vol. 44, pp. 241–267, 2021. Springer Verlag Italia.

DOI: 10.1007/s10203-020-00310-x

E. Viviani, L. Di Persio and M. Ehrhardt, "Energy markets forecasting. From inferential statistics to machine learning: The German case", Energies, vol. 14, no. 2, pp. 364, 2021. MDPI.

DOI: 10.3390/en14020364

M. Ehrhardt, "Reflectionless propagation of Manakov solitons on a line: A model based on the concept of transparent boundary conditions", Physical Review E, vol. 103, no. 4, pp. 043305, 2021. American Physical Society.

DOI: 10.1103/PhysRevE.103.043305

A. Clevenhaus, M. Ehrhardt and M. Günther, "A parallel sparse grid combination technique using the Parareal Algorithm", Preprint IMACM, 2021. Bergische Universität Wuppertal.

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Publications Prof. Dr. Matthias Ehrhardt