1 code implementation • 11 Oct 2023 • Paul Schwerdtner, Philipp Schulze, Jules Berman, Benjamin Peherstorfer
This work focuses on the conservation of quantities such as Hamiltonians, mass, and momentum when solution fields of partial differential equations are approximated with nonlinear parametrizations such as deep networks.
no code implementations • 5 Jul 2022 • Karim Cherifi, Philipp Schulze, Volker Mehrmann, Leo Goßlau, Pascal Lünnemann
We address mathematical tools that can be employed to carry out the required simulations based on physical laws as well as surrogate or data-driven models.