107 citations · 194 across the 3 of their papers we have counts for
3 papers
math.NA2021★ 37 cited
General local energy-preserving integrators for solving multi-symplectic Hamiltonian PDEs
Yuwen Li, Xinyuan Wu
In this paper we propose and investigate a general approach to constructing local energy-preserving algorithms which can be of arbitrarily high order in time for solving Hamiltonia…
math.NA2020★ 50 cited
Functionally-fitted energy-preserving methods for solving oscillatory nonlinear Hamiltonian systems
Yu-Wen Li, Xinyuan Wu
In the last few decades, numerical simulation for nonlinear oscillators has received a great deal of attention, and many researchers have been concerned with the design and analysi…
math.NA2020★ 107 cited
Exponential integrators preserving first integrals or Lyapunov functions for conservative or dissipative systems
Yu-Wen Li, Xinyuan Wu
In this paper, combining the ideas of exponential integrators and discrete gradients, we propose and analyze a new structure-preserving exponential scheme for the conservative or d…