Maths for future technologies: Paving the way for new Master's programme
Maths for future technologies: Paving the way for new Master's programme
Publikationen
- 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, 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. , 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, 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. , 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.
