Publikationen
- 2024
- M. Ehrhardt, "A nonstandard finite difference scheme for a time-fractional model of Zika virus transmission", Mathematical Biosciences and Engineering, vol. 21, no. 1, pp. 924–962, 2024. AIMS Press.
- A. Clevenhaus, C. Totzeck and M. Ehrhardt, "A numerical study of the impact of variance boundary conditions for the Heston model", Burnecki, K. and Szwabiński, J. and Teuerle, M., Eds. Bergische Universität Wuppertal, 2024.
- P. S. Petrov, M. Ehrhardt and S. B. Kozitskiy, "A generalization of the split-step Padé method to the case of coupled acoustic modes equation in a 3D waveguide", Journal of Sound and Vibration, vol. 577, pp. 118304, 2024. Academic Press.
- F. Klass, A. Bartel and P. A. Gabbana, "Boundary conditions for multi-speed lattice Boltzmann methods", 2024.
- M. Günther, B. Jacob and C. Totzeck, "Data-driven adjoint-based calibration of port-Hamiltonian systems in time domain", Mathematics of Control, Signals, and Systems, vol. 36, no. 4, pp. 957–977, 2024. Springer London.
- P. Zaspel and M. Günther, "Data-driven identification of port-Hamiltonian DAE systems by Gaussian processes", Preprint, 2024.
- L. Kapllani and L. Teng, "Deep learning algorithms for solving high-dimensional nonlinear backward stochastic differential equations", Discrete and continuous dynamical systems - B, vol. 29, no. 4, pp. 1695–1729, 2024. AIMS Press.
- F. Klass, A. Gabbana and A. Bartel, "Characteristic boundary condition for thermal lattice Boltzmann methods", Computers & Mathematics with Applications, vol. 157, pp. 195–208, 2024. Pergamon.
- 2023
- F. Heldmann, M. Ehrhardt and K. Klamroth, "PINN training using biobjective optimization: The trade-off between data loss and residual loss", Journal of Computational Physics, vol. 488, pp. 112211, 2023. Academic Press.
- A. Bartel, M. Günther, B. Jacob and T. Reis, "Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems", Numerische Mathematik, vol. 155, no. 1-2, pp. 1–34, 2023. Springer New York.
- A. Frommer, M. Günther, B. Liljegren-Sailer and N. Marheineke, "Operator splitting for port-Hamiltonian systems", Preprint, 2023.
- A. Bartel, M. Diab, A. Frommer and M. Günther, "Operator splitting for semi-explicit differential-algebraic equations and port-Hamiltonian DAEs", Preprint, 2023.
- M. Hutzenthaler, A. Jentzen, T. Kruse and T. Anh Nguyen, "Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations", Journal of Numerical Mathematics, vol. 31, no. 1, pp. 1–28, 2023. De Gruyter.
- M. Muniz, M. Ehrhardt, M. Günther and R. Winkler, "Strong stochastic Runge-Kutta-Munthe-Kaas methods for nonlinear Itô SDEs on manifolds", Applied Numerical Mathematics, vol. 193, pp. 196–203, 2023. North-Holland.
- K. Schäfers, A. Bartel, M. Günther and C. Hachtel, "Spline-oriented inter/extrapolation-based multirate schemes of higher order", Applied Mathematics Letters, vol. 136, pp. 108464, 2023. Pergamon.
- M. Clemens and M. Günther, "Stability of Transient Coupled Multi-Model Discrete Electromagnetic Field Formulations Using the Port-Hamiltonian System Framework" in 2023 International Conference on Electromagnetics in Advanced Applications (ICEAA), IEEE, 2023, pp. 1–1.
- K. Schäfers, M. Günther and A. Sandu, "Symplectic multirate generalized additive Runge-Kutta methods for Hamiltonian systems", Preprint, 2023.
- M. Ehrhardt, "Three-dimensional modeling of sound field holograms of a moving source in the presence of internal waves causing horizontal refraction", Journal of Marine Science and Engineering, vol. 11, no. 10, pp. 1922, 2023. MDPI.
- M. Ehrhardt, "Use of interference patterns to control sound field focusing in shallow water", Journal of Marine Science and Engineering, vol. 11, no. 3, pp. 559, 2023. MDPI.
- C. Beck, A. Jentzen, K. Kleinberg and T. Kruse, "Nonlinear Monte Carlo methods with polynomial runtime for Bellman equations of discrete time high-dimensional stochastic optimal control problems", Preprint, 2023.
