Publications Günther

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. 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. 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. 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

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, "A two-dimensional port-Hamiltonian model for coupled heat transfer", Mathematics, vol. 10, no. 24, pp. 4635, 2022. MDPI.

DOI: 10.3390/math10244635

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

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

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 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. 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

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. Günther, A. Sandu, K. Schäfers and A. Zanna, "Symplectic GARK methods for partitioned Hamiltonian systems", Preprint, 2021.

DOI: 10.48550/arXiv.2103.04110

M. Günther, A. Sandu and A. Zanna, "Symplectic GARK methods for Hamiltonian systems", Preprint, 2021.

DOI: 10.48550/arXiv.2103.04110

Rosenbrock-Wanner-Type Methods: Theory and Applications. Springer Cham, 2021.

DOI: 10.1007/978-3-030-76810-2

ISBN: 978-3-030-76809-6

C. Hachtel, A. Bartel, M. Günther and A. Sandu, "Multirate implicit Euler schemes for a class of differential-algebraic equations of index-1", Journal of Computational and Applied Mathematics, vol. 387, pp. 112499, 2021. North-Holland.

DOI: 10.1016/j.cam.2019.112499

A. Sandu, M. Günther and S. Roberts, "Linearly implicit GARK schemes", Applied Numerical Mathematics, vol. 161, pp. 286–310, 2021. Elsevier.

DOI: 10.1016/j.apnum.2020.11.014

M. Bannenberg and A. Ciccazzo, "Reduced order multirate schemes for coupled differential-algebraic systems", Applied Numerical Mathematics, vol. 168, pp. 104–114, 2021. North-Holland.

DOI: 10.1016/j.apnum.2021.05.023

T. Kossaczká, M. Ehrhardt and M. Günther, "Enhanced fifth order WENO shock-capturing schemes with deep learning", Results in Applied Mathematics, vol. 12, pp. 100201, 2021. Elsevier.

DOI: 10.1016/j.rinam.2021.100201

M. Günther, A. Bartel, B. Jacob and T. Reis, "Dynamic iteration schemes and port-Hamiltonian formulation in coupled differential-algebraic equation circuit simulation", International Journal of Circuit Theory and Applications, vol. 49, no. 2, pp. 430–452, 2021. John Wiley & Sons.

DOI: 10.1002/cta.2870

M. Bannenberg, A. Ciccazzo and M. Günther, "Coupling of model order reduction and multirate techniques for coupled dynamical systems", Applied Mathematics Letters, vol. 112, pp. 106780, 2021. Elsevier.

DOI: 10.1016/j.aml.2020.106780

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

A. Clevenhaus, M. Ehrhardt and M. Günther, "An ADI Sparse Grid method for pricing efficiently American options under the Heston model", Advances in Applied Mathematics and Mechanics, vol. 13, no. 6, pp. 1384–1397, 2021. Global Science Press.

DOI: 10.4208/aamm.OA-2020-0317

M. Clemens, F. Kasolis, M. Henkel, B. Kähne and M. Günther, "A two-step Darwin model time-domain formulation for quasi-static electromagnetic field calculations", IEEE Transactions on Magnetics, vol. 57, no. 6, pp. 1–4, 2021. IEEE.

DOI: 10.1109/TMAG.2021.3057828

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. Michael Günther