Modified Filon-type methods for second-order highly oscillatory systems with a time-dependent frequency matrix

DOI10.1016/j.aml.2022.108540OpenAlexW4312085118MaRDI QIDQ2678360

Zhongli Liu, Hui Zhao, Hong-Jiong Tian

Publication date: 23 January 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108540

zbMATH Keywords

second-order ordinary differential equationwaveform relaxation methodFilon-type methodtime-dependent high frequency

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (1)

Reproducing kernel-based piecewise methods for efficiently solving oscillatory systems of second-order initial value problems

Cites Work

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• Quadrature methods for highly oscillatory linear and non-linear systems of ordinary differential equations. II
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• Effective integrators for nonlinear second-order oscillatory systems with a time-dependent frequency matrix
• On the global error of discretization methods for highly-oscillatory ordinary differential equations
• Adiabatic integrators for highly oscillatory second-order linear differential equations with time-varying eigendecomposition
• On SOR Waveform Relaxation Methods
• Explicit Magnus expansions for nonlinear equations

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