Applied and Computational Mathematics (ACM)

Publikationen



M. Ehrhardt, "Positive Schemes for Air Pollution Problems, Optimal Location of Industrial Enterprises and Optimization of their Emissions".
M. Carmen Calvo-Garrido, M. Ehrhardt and C. Vázquez, "Pricing swing options in electricity markets with two stochastic factors: PIDE modeling and numerical solution" in 3rd International Conference on Computational Finance (ICCF2019). pp. 89.
P. Putek, E. Ter Maten and M. Günther, "Reliability-based Low Torque Ripple Design of Permanent Magnet Machine".
M. Günther, M. Ehrhardt, F. Knechtli, D. Shcherbakov, M. Striebel and M. Wandelt, "Symmetric \& Volume Preserving Projection Schemes".
P. Putek and M. Günther, "Topology Optimization and Analysis of a PM synchronous Machine for Electrical Automobiles".
M. Ehrhardt, "Ein einfaches Kompartment-Modell zur Beschreibung von Revolutionen am Beispiel des Arabischen Frühlings".
M. Ehrhardt, M. Günther, H. Brunner and A. Dalhoff, "Vorhersage-Modelle am Beispiel des Corona-Virus COVID-19".
2024
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.
M. Ehrhardt, T. Kruse and A. Tordeux, "Dynamics of a Stochastic port-{H}amiltonian Self-Driven Agent Model in One Dimension", ESAIM: Math. Model. Numer. Anal., 2024.
J. Ackermann, M. Ehrhardt, T. Kruse and A. Tordeux, "Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems", arXiv preprint arXiv:2401.17954, 2024.
2023
A. Clevenhaus, C. Totzeck and M. Ehrhardt, "A numerical study of the impact of variance boundary conditions for the Heston model", IMACM preprint 23/11, Jul. 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.
J. Jäschke, N. Skrepek and M. Ehrhardt, "Mixed-dimensional geometric coupling of port-Hamiltonian systems", Applied Mathematics Letters, vol. 137, pp. 108508, 2023. Pergamon.
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.
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.
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, B. Jacob and C. Totzeck, "Data-driven adjoint-based calibration of port-Hamiltonian systems in time domain", arXiv preprint arXiv:2301.03924, 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. 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. 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.
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.
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.
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.
A. Tyshchenko, S. Kozitskiy, M. Kazak and P. Petrov, "Modern methods of sound propagation modelling based on the expansion of acoustic fields over normal modes", Acoustical Physics (accepted, to appear in 2023), vol. 69, no. 5, 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.

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