The Accurate Numerical Solution of Highly Oscillatory Ordinary Differential Equations

DOI10.2307/2007688zbMath0529.65051OpenAlexW4236452581MaRDI QIDQ3311606

Robert E. Scheid

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2007688

zbMATH Keywords

stiff equationslarge time stepshighly oscillatoryweakly nonlinear

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items (8)

Numerical homogenization beyond scale separation ⋮ Oscillatory Systems with Three Separated Time Scales: Analysis and Computation ⋮ On asymptotic expansion solvers for highly oscillatory semi-explicit DAEs ⋮ Heterogeneous multiscale methods for stiff ordinary differential equations ⋮ Variational integrators for electric circuits ⋮ A multiscale method for highly oscillatory ordinary differential equations with resonance ⋮ Multiscale Computations for Highly Oscillatory Problems ⋮ Think globally, act locally: Solving highly-oscillatory ordinary differential equations

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