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：

暂无

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.

引用

页码：1064 / 1068

页数：5

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