Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order
The numerical integration of Hamiltonian systems with oscillating solutions is considered in this paper. A diagonally implicit symplectic nine-stages Runge-Kutta method with algebraic order 6 and dispersion order 8 is presented. Numerical experiments with some Hamiltonian oscillatory problems are pr...
Main Authors: | , |
---|---|
Format: | Online |
Language: | English |
Published: |
Hindawi Publishing Corporation
2014
|
Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3995175/ |