Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order
Open Access
- 1 January 2014
- journal article
- Published by Hindawi Limited in The Scientific World Journal
- Vol. 2014, 1-7
- https://doi.org/10.1155/2014/147801
Abstract
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 presented to show the proposed method is as competitive as the existing same type Runge-Kutta methods.Keywords
Funding Information
- National Natural Science Foundation of China (10971140)
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