Linearly implicit and high-order energy-preserving relaxation schemes for highly oscillatory Hamiltonian systems

DOI10.1016/j.jcp.2023.111925OpenAlexW4320473675MaRDI QIDQ2683229

Xiaoxi Li, Dongfang Li, Zhimin Zhang

Publication date: 10 February 2023

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2023.111925

zbMATH Keywords

relaxation methodslinearly implicit schemesenergy-preserving schemesarbitrarily high order accuracy

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical problems in dynamical systems (65Pxx)

Related Items (5)

Relaxation Exponential Rosenbrock-Type Methods for Oscillatory Hamiltonian Systems ⋮ Resolving entropy growth from iterative methods ⋮ Analysis of two conservative fourth-order compact finite difference schemes for the Klein-Gordon-Zakharov system in the subsonic limit regime ⋮ A computationally optimal relaxed scalar auxiliary variable approach for solving gradient flow systems ⋮ Convergence of an energy-preserving finite difference method for the nonlinear coupled space-fractional Klein-Gordon equations

Uses Software

• RODAS
• LIMbook
• RRK_rr

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