8 citations · 23 across the 18 of their papers we have counts for
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math.NA2023★ 1 cited
Nonlinear embeddings for conserving Hamiltonians and other quantities with Neural Galerkin schemes
Paul Schwerdtner, Philipp Schulze, Jules Berman +1
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…
math.OC2023★ 2 cited
Energy matching in reduced passive and port-Hamiltonian systems
Tobias Holicki, Jonas Nicodemus, Paul Schwerdtner +1
It is well known that any port-Hamiltonian (pH) system is passive, and conversely, any minimal and stable passive system has a pH representation. Nevertheless, this equivalence is…