title: Diagonally implicit symplectic Runge-Kutta methods with high algebraic and dispersion order.
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.
authors: Department of Mathematics, Shanghai Normal University, Shanghai 200234, China.
authors: Y H
authors: YH
authors: Cong
authors: Department of Mathematics, Shanghai Normal University, Shanghai 200234, China.
authors: C X
authors: CX
authors: Jiang
mesh_terms: D000465:Algorithms; D008433:Mathematics / Q000379:methods*; D009716:Numerical Analysis, Computer-Assisted; D009991:Oscillometry / Q000379:methods*