Asymptotic solvers for ordinary differential equations with multiple frequencies

DOI10.1007/S11425-015-5066-5zbMath1331.65095arXiv1506.06308OpenAlexW1646927493MaRDI QIDQ904640

Alfredo Deaño, Marissa Condon, Arieh Iserles, Jing Gao

Publication date: 13 January 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06308

zbMATH Keywords

numerical exampleasymptotic expansionsmultiple frequencieshighly oscillatory problemsmodulated Fourier expansions

Mathematics Subject Classification ID

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)

Related Items (4)

Uniformly accurate multiscale time integrators for second order oscillatory differential equations with large initial data ⋮ Asymptotic-numerical solvers for highly oscillatory second-order differential equations ⋮ Asymptotic solvers for second-order differential equation systems with multiple frequencies ⋮ Asymptotic-numerical solvers for highly oscillatory ordinary differential equations and Hamiltonian systems

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