Asymptotic-numerical approximations for highly oscillatory second-order differential equations by the phase function method

DOI10.1016/j.jmaa.2018.03.027zbMath1404.65059OpenAlexW2793354687MaRDI QIDQ1746766

Renato Spigler

Publication date: 25 April 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.03.027

zbMATH Keywords

forced oscillationshighly oscillatory differential equationsphase function methodasymptotic-numerical approximation of zerosBoruvka's theory of linear differential transformationsLiouville-Green (WKB) approximation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (2)

Phase function methods for second order linear ordinary differential equations with turning points ⋮ Phase function methods for second order inhomogeneous linear ordinary differential equations

Uses Software

• DLMF

Cites Work

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• On numerical methods for highly oscillatory problems in circuit simulation
• On highly oscillatory problems arising in electronic engineering
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