most citedStructure-Preserving Model Reduction for Port-Hamiltonian Systems Based on a Special Class of Nonlinear Approximation Ansatzes

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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.NA2023★ 1 cited

Structure-Preserving Model Reduction for Port-Hamiltonian Systems Based on a Special Class of Nonlinear Approximation Ansatzes

Philipp Schulze

We discuss structure-preserving model order reduction for port-Hamiltonian systems based on an approximation of the full-order state by a linear combination of ansatz functions whi…