Efficient numerical integrators for highly oscillatory dynamic systems based on modified magnus integrator method
DOI10.1007/S10483-006-1010-ZzbMath1167.65392OpenAlexW1990662028MaRDI QIDQ1030431
Wen-cheng Li, Yongan Huang, Zi-Chen Deng
Publication date: 1 July 2009
Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10483-006-1010-z
numerical examplesHamiltonian systemshighly oscillatory dynamic systemsMagnus integrator methodsecond-order dynamic systems
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A simple and efficient fourth-order approximation solution for nonlinear dynamic system
- A Gautschi-type method for oscillatory second-order differential equations
- Think globally, act locally: Solving highly-oscillatory ordinary differential equations
- On the global error of discretization methods for highly-oscillatory ordinary differential equations
- Numerical integration of ordinary differential equations based on trigonometric polynomials
- A General Procedure For the Adaptation of Multistep Algorithms to the Integration of Oscillatory Problems
- Long-Time-Step Methods for Oscillatory Differential Equations
- On the solution of linear differential equations in Lie groups
- On Cayley-transform methods for the discretization of Lie-group equations
This page was built for publication: Efficient numerical integrators for highly oscillatory dynamic systems based on modified magnus integrator method
