Multi-revolution composition methods for highly oscillatory differential equations

DOI10.1007/s00211-013-0602-0zbMath1307.65100OpenAlexW2150163004MaRDI QIDQ740813

Gilles Vilmart, Joseba Makazaga, Philippe Chartier, Ander Murua

Publication date: 9 September 2014

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://archive-ouverte.unige.ch/unige:41957

zbMATH Keywords

error estimatenumerical experimentHamiltonian systemcubic nonlinear Schrödinger equationdivergence-free equationFermi-Ulam-Pasta-like problemhighly oscillating problemsmulti-revolution composition methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) NLS equations (nonlinear Schrödinger equations) (35Q55) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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