19 citations · 39 across the 7 of their papers we have counts for
7 papers
Symplectic model reduction of Hamiltonian systems using data-driven quadratic manifolds
Harsh Sharma, Hongliang Mu, Patrick Buchfink +3
This work presents two novel approaches for the symplectic model reduction of high-dimensional Hamiltonian systems using data-driven quadratic manifolds. Classical symplectic model…
Bayesian Identification of Nonseparable Hamiltonian Systems Using Stochastic Dynamic Models
Harsh Sharma, Nicholas Galioto, Alex A. Gorodetsky +1
This paper proposes a probabilistic Bayesian formulation for system identification (ID) and estimation of nonseparable Hamiltonian systems using stochastic dynamic models. Nonsepar…
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…
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…
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…
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…
Energy-preserving Variational Integrators for Forced Lagrangian Systems
Harsh Sharma, Mayuresh Patil, Craig Woolsey
The goal of this paper is to develop energy-preserving variational integrators for time-dependent mechanical systems with forcing. We first present the Lagrange-d'Alembert principl…