107 citations · 334 across the 17 of their papers we have counts for
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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…