Publications Günther

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

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

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

A. Bartel and M. Günther, "Multirate schemes—an answer of numerical analysis to a demand from applications" in Novel Mathematics Inspired by Industrial Challenges, Günther, Michael and Schilders, Wil, Eds. Springer Cham, 2022, pp. 5–27.

DOI: 10.1007/978-3-030-96173-2_1

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

J. Kienitz, T. A. McWalter, R. Rudd and E. Platen, "Quantization methods for stochastic differential equations" in Novel Mathematics Inspired by Industrial Challenges, Günther, Michael and Schilders, Wil, Eds. Springer Cham, 2022, pp. 299–329.

DOI: 10.1007/978-3-030-96173-2_11

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

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

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

ISBN: 978-3-030-76809-6

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

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

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

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

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. 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

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

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

DOI: 10.48550/arXiv.2103.04110

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

Publications Prof. Dr. Michael Günther