T. Kossaczká, A. D. Jagtap and M. Ehrhardt, "Deep smoothness weighted essentially non-oscillatory method for two-dimensional hyperbolic conservation laws: A deep learning approach for learning smoothness indicators", Physics of Fluids, vol. 36, no. 3, 2024. AIP Publishing.

J. Ackermann, A. Jentzen, B. Kuckuck and J. L. Padgett, "Deep neural networks with ReLU, leaky ReLU, and softplus activation provably overcome the curse of dimensionality for space-time solutions of semilinear partial differential equations", arXiv:2406.10876, pp. 64 pages, 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, Jul. 2024.

M. T. Hoang and M. Ehrhardt, "A second-order nonstandard finite difference method for a general Rosenzweig-MacArthur predator--prey model", Journal of Computational and Applied Mathematics, pp. 115752, 2024. Elsevier.

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.