Think globally, act locally: Solving highly-oscillatory ordinary differential equations

DOI10.1016/S0168-9274(02)00122-8zbMath1016.65050OpenAlexW2052439231MaRDI QIDQ1862012

Arieh Iserles

Publication date: 10 March 2003

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(02)00122-8

zbMATH Keywords

performanceRunge-Kutta methodsWKB analysisLie-group methodshighly-oscillatory equationsMagnus methods

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Complexity and performance of numerical algorithms (65Y20)

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