Improved filon-type asymptotic methods for highly oscillatory differential equations with multiple time scales

DOI10.1016/j.jcp.2014.07.035zbMath1349.65229OpenAlexW2018610158MaRDI QIDQ349511

Bin Wang, Xin-Yuan Wu

Publication date: 5 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.07.035

zbMATH Keywords

variation-of-constants formulamultiple time scalesFermi-pasta-Ulam modelFilon-type asymptotic methodshighly oscillatory differential equations

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Multiple scale methods for ordinary differential equations (34E13)

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Functionally-fitted energy-preserving integrators for Poisson systems ⋮ High asymptotic order methods for highly oscillatory integral equations with trigonometric kernels ⋮ The generalized quadrature method for a class of highly oscillatory Volterra integral equations ⋮ A new framework for solving partial differential equations using semi-analytical explicit RK(N)-type integrators ⋮ Efficient collocation methods for Volterra integral equations with highly oscillatory kernel

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