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math.NA2021★ 10 cited
Performance Assessment of Energy-preserving, Adaptive Time-step Variational Integrators
Harsh Sharma, Jeff Borggaard, Mayuresh Patil +1
A fixed time-step variational integrator cannot preserve momentum, energy, and symplectic form simultaneously for nonintegrable systems. This barrier can be overcome by treating ti…
math.NA2021
Hamiltonian Operator Inference: Physics-preserving Learning of Reduced-order Models for Canonical Hamiltonian Systems
Harsh Sharma, Zhu Wang, Boris Kramer
This work presents a nonintrusive physics-preserving method to learn reduced-order models (ROMs) of canonical Hamiltonian systems. Traditional intrusive projection-based model redu…