Effective integrators for nonlinear second-order oscillatory systems with a time-dependent frequency matrix

DOI10.1016/j.apm.2013.01.029zbMath1426.65204OpenAlexW1998953164MaRDI QIDQ1788763

Wei Shi, Bin Wang, Xin-Yuan Wu

Publication date: 8 October 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.01.029

zbMATH Keywords

Hamiltonian systemsextended phase spaceERKN integratorsoscillatory second-order initial value problems

Mathematics Subject Classification ID

Hamilton's equations (70H05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (7)

A simplified Nyström-tree theory for extended Runge-Kutta-Nyström integrators solving multi-frequency oscillatory systems ⋮ Energy-Preserving Continuous-Stage Exponential Runge--Kutta Integrators for Efficiently Solving Hamiltonian Systems ⋮ An improved tri-coloured rooted-tree theory and order conditions for ERKN methods for general multi-frequency oscillatory systems ⋮ A feasible and effective technique in constructing ERKN methods for multi-frequency multidimensional oscillators in scientific computation ⋮ Modified Filon-type methods for second-order highly oscillatory systems with a time-dependent frequency matrix ⋮ Explicit Gautschi-type integrators for nonlinear multi-frequency oscillatory second-order initial value problems ⋮ The tri-coloured free-tree theory for symplectic multi-frequency ERKN methods

Cites Work

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