107 citations · 214 across the 4 of their papers we have counts for
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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…
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…
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…
Global superconvergence of the lowest order mixed finite element on mildly structured meshes
Yuwen Li
In this paper, we develop global superconvergence estimates for the lowest order Raviart--Thomas mixed finite element method for second order elliptic equations with general bounda…