A numerical method for solving systems of linear ordinary differential equations with rapidly oscillating solutions

DOI10.1016/0021-9991(92)90142-LzbMath0751.65042MaRDI QIDQ1184621

Peter A. Fox, Leigh Brookshaw, Ira B. Bernstein

Publication date: 28 June 1992

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

zbMATH Keywords

systemssolution spaceWKB methodeigenfrequencieseigenmodesfourth-order system eigenvalue problemlinearly independent set of solutionslocal wavelengthnonradial oscillations in starsrapidly oscillating solutions

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) 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) Galactic and stellar structure (85A15) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

• Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed
• Perturbation Techniques for Oscillatory Systems with Slowly Varying Coefficients
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