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math.NA2022★ 9 cited
Preserving Lagrangian structure in data-driven reduced-order modeling of large-scale dynamical systems
Harsh Sharma, Boris Kramer
This work presents a nonintrusive physics-preserving method to learn reduced-order models (ROMs) of Lagrangian systems, which includes nonlinear wave equations. Existing intrusive…
math.NA2022
Hermite-based, One-step, Variational and Galerkin Time Integrators for Mechanical Systems
Harsh Sharma, Mayuresh Patil, Craig Woolsey
In this paper, we present two Hermite polynomial based approaches to derive one-step numerical integrators for mechanical systems. These methods are based on discretizing the confi…