19 citations · 29 across the 3 of their papers we have counts for
3 papers
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…
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.NA2018★ 19 cited
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…