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Sixth-order symplectic and symmetric explicit ERKN schemes for solving multi-frequency oscillatory nonlinear Hamiltonian equations.
- Source :
-
Calcolo . Mar2017, Vol. 54 Issue 1, p117-140. 24p. - Publication Year :
- 2017
-
Abstract
- This paper is devoted to the analysis of the sixth-order symplectic and symmetric explicit extended Runge-Kutta-Nyström (ERKN) schemes for solving multi-frequency oscillatory nonlinear Hamiltonian equations. Fourteen practical sixth-order symplectic and symmetric explicit ERKN schemes are constructed, and their phase properties are investigated. The paper is accompanied by five numerical experiments, including a nonlinear two-dimensional wave equation. The numerical results in comparison with the sixth-order symplectic and symmetric Runge-Kutta-Nyström methods and a Gautschi-type method demonstrate the efficiency and robustness of the new explicit schemes for solving multi-frequency oscillatory nonlinear Hamiltonian equations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00080624
- Volume :
- 54
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Calcolo
- Publication Type :
- Academic Journal
- Accession number :
- 121389104
- Full Text :
- https://doi.org/10.1007/s10092-016-0179-y