具有高代数阶和色散阶的对角隐式辛龙格-库塔方法。
Diagonally implicit symplectic Runge-Kutta methods with high algebraic and dispersion order.
作者信息
Cong Y H, Jiang C X
机构信息
Department of Mathematics, Shanghai Normal University, Shanghai 200234, China.
出版信息
ScientificWorldJournal. 2014;2014:147801. doi: 10.1155/2014/147801. Epub 2014 Apr 1.
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.
摘要
本文考虑具有振荡解的哈密顿系统的数值积分。提出了一种代数阶数为6且色散阶数为8的对角隐式辛九阶段龙格-库塔方法。给出了一些哈密顿振荡问题的数值实验，以表明所提出的方法与现有的同类型龙格-库塔方法具有竞争力。
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