Quadrature methods for highly oscillatory linear and non-linear systems of ordinary differential equations. II

DOI10.1007/s10543-011-0355-zzbMath1257.65040OpenAlexW4243342522MaRDI QIDQ438720

Marianna Khanamiryan

Publication date: 31 July 2012

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-011-0355-z

zbMATH Keywords

numerical examplesasymptotic analysiswaveform relaxation methodsMagnus methodsystems of ordinary differential equationsLie group methodsFilon-type methodshigh oscillationwaveform relaxation-Filou (WRF) method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Linear ordinary differential equations and systems (34A30) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Geometric integration of non-autonomous linear Hamiltonian problems ⋮ Adiabatic Filon-type methods for highly oscillatory second-order ordinary differential equations ⋮ A class of new Magnus-type methods for semi-linear non-commutative Itô stochastic differential equations ⋮ Modified Filon-type methods for second-order highly oscillatory systems with a time-dependent frequency matrix

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