2 papers
math.NA2025
Learning Hamiltonian Flow Maps from Numerical-Scheme Residuals for Long-Time Multiscale Simulation
Rui Fang, Richard Tsai
Hamiltonian systems with widely separated timescales arise in molecular dynamics, classical mechanics, and plasma physics. Long-time simulation of such systems is expensive because…
math.NA2023
Stabilization of parareal algorithms for long time computation of a class of highly oscillatory Hamiltonian flows using data
Rui Fang, Richard Tsai
Applying parallel-in-time algorithms to multiscale Hamiltonian systems to obtain stable long time simulations is very challenging. In this paper, we present novel data-driven metho…