- 2023
- A. Bartel, M. Günther, B. Jacob and T. Reis, "Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems", Accepted at Numerische Mathematik, 2023.
- M. Soroking, P. Petrov, M. Budyansky, P. Fayman, A. Didov, A. Golov and Y. Morgunov, "On the effect of horizontal refraction caused by an anticyclonic eddy in the case of long-range sound propagation in the Sea of Japan", J. Marine Sci. Eng. , vol. 11, no. 9, Jun. 2023.
- 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, 2023.
- L. Kapllani and L. Teng, "Deep Learning algorithms for solving high-dimensional nonlinear Backward Stochastic Differential Equations", Discrete Contin. Dyn. Syst. - B, 2023.
- J. Jäschke, N. Skrepek and M. Ehrhardt, "Mixed-dimensional geometric coupling of port-Hamiltonian systems", Applied Mathematics Letters, vol. 137, pp. 108508, 2023. Pergamon.
- G. M. R. Costa, M. Lobosco, M. Ehrhardt and R. F. Reis, "Mathematical Analysis and a Nonstandard Scheme for a Model of the Immune Response against COVID-19", 2023.
- P. Petrov, A. Matskovskiy, A. Zakharenko, G. Zavorokhin and S. Dosso, "Generalized Pekeris-Buldyrev waveguide and its properties", submitted to J. Acoust. Soc. Am. , Jun. 2023.
- M. Ehrhardt, S. Pereselkov, V. Kuz’kin, I. Kaznacheev and P. Rybyanets, "Experimental observation and theoretical analysis of the low-frequency source interferogram and hologram in shallow water", Journal of Sound and Vibration, vol. 544, pp. 117388, Mä. 2023. Academic Press.
- A. Poggi, L. Di Persio and M. Ehrhardt, "Electricity Price Forecasting via Statistical and Deep Learning Approaches: The German Case", AppliedMath, vol. 3, no. 2, pp. 316--342, 2023. Multidisciplinary Digital Publishing Institute.
- J. Ackermann, A. Jentzen, T. Kruse, B. Kuckuck and J. L. Padgett,Deep neural networks with ReLU, leaky ReLU, and softplus activation provably overcome the curse of dimensionality for Kolmogorov partial differential equations with Lipschitz nonlinearities in the $L^p$-sense, 2023.
- M. Günther, B. Jacob and C. Totzeck, "Data-driven adjoint-based calibration of port-Hamiltonian systems in time domain", arXiv preprint arXiv:2301.03924, 2023.
- H. Fatoorehchi, R. Zarghami and M. Ehrhardt, "A new method for stability analysis of linear time-invariant systems and continuous-time nonlinear systems with application to process dynamics and control", 2023.
- A. Bartel, M. Clemens, M. Günther, B. Jacob and T. Reis, "Port-Hamiltonian Systems Modelling in Electrical Engineering", arXiv preprint arXiv:2301.02024, 2023.
- D. Makarov, P. Petrov and M. Uleysky, "Random matrix theory for sound propagation in a shallow-water acoustic waveguide with sea bottom roughness", submitted to J. Marine Sci. Eng. , Jun. 2023.
- M. Günther, B. Jacob and C. Totzeck, "Structure-preserving identification of port-Hamiltonian systems--a sensitivity-based approach", arXiv preprint arXiv:2301.02019, 2023.
- 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, 2023.
- K. Schäfers, M. Günther and A. Sandu, "Symplectic multirate generalized additive Runge-Kutta methods for Hamiltonian systems", 2023.
- M. Ehrhardt, T. Kruse and A. Tordeux, "The Collective Dynamics of a Stochastic Port-Hamiltonian Self-Driven Agent Model in One Dimension", arXiv preprint arXiv:2303.14735, 2023.
- M. Akramov, J. Yusupov, M. Ehrhardt, H. Susanto and D. Matrasulov, "Transparent boundary conditions for the nonlocal nonlinear Schrödinger equation: A model for reflectionless propagation of PT-symmetric solitons", Physics Letters A, pp. 128611, 2023. North-Holland.
- L. Kapllani, L. Teng and M. Rottmann, "Uncertainty quantification for deep learning-based schemes for solving high-dimensional backward stochastic differential equations", Submitted to SIAM-ASA J. Uncertain. Quantif., 2023.
- S. Pereselkov, V. Kuz’kin, M. Ehrhardt, S. Tkachenko, P. Rybyanets and N. Ladykin, "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.
- M. Günther, A. Sandu, K. Schäfers and A. Zanna, "Symplectic GARK methods for partitioned Hamiltonian systems", 2023.
- 2022
- M. Felpel, J. Kienitz and T. A. McWalter, "Effective Markovian projection: application to CMS spread options and mid-curve swaptions", Quantitative Finance, vol. 22, no. 6, pp. 1169-1192, 2022. Routledge.
- T. Kossaczka, 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 LLC.
- 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.