Search Results for author: Yu-Wen Li

Found 3 papers, 0 papers with code

Functionally-fitted energy-preserving methods for solving oscillatory nonlinear Hamiltonian systems

no code implementations24 Dec 2020 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 analysis of numerical methods for solving oscillatory problems.

Numerical Analysis Numerical Analysis 65L05, 65L06, 65L60, 65P10

Exponential integrators preserving first integrals or Lyapunov functions for conservative or dissipative systems

no code implementations24 Dec 2020 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 dissipative system $\dot{y} = Q(M y + \nabla U (y))$, where $Q$ is a $d\times d$ skew-symmetric or negative semidefinite real matrix, $M$ is a $d\times d$ symmetric real matrix, and $U : \mathbb{R}^d\rightarrow\mathbb{R}$ is a differentiable function.

Numerical Analysis Numerical Analysis 65L04, 65L05, 65M20, 65P10, 65Z05

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