A New Symplectic Runge-Kutta Method Generated By Radau-Right Quadrature

被引：0
|
作者：
Tan, Jiabo [1 ]
机构：
[1] Beijng Wuzi Univ, Sch Informat, Beijing 101149, Peoples R China
来源：
INTERNATIONAL CONFERENCE ON COMPUTATIONAL AND INFORMATION SCIENCES (ICCIS 2014) | 2014年
关键词：
D O I：
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中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we first introduce the definitions of ordinary differential equations with initial values, numerical methods, order, Runge-Kutta method, Hamiltonian system and symplecticity. Then by the order conditions for the coefficients of Runge-Kutta method and the symplecticity condition, we will construct an original Runge-Kutta method based on Radau-right quadrature formula. This method is symplectic and of order 3. The order of the proposed method is higher than the well-known symplectic methods.
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页码：1064 / 1068
页数：5
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