A Fourth Order Modified Trigonometrically Fitted Symplectic Runge-Kutta-Nystrom method

被引：0
作者：
Kalogiratou, Z. [1 ]
Monovasilis, Th. [2 ]
Simos, T. E. [3 ,4 ]
机构：
[1] Technol Educ Inst Western Macedonia Kastoria, Dept Informat & Comp Technol, POB 30, Kastoria 52100, Greece
[2] Tech Educat Inst Western Macedonia, Dept Int Trade, Kastoria 52100, Greece
[3] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
[4] Univ Peloponnese, Dept Comp Sci & Technol, Lab Computat Sci, Tripolis 22100, Greece
来源：
11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013) | 2013年 / 1558卷
关键词：
Runge Kutta Nystrom methods; Symplectic methods; Hamiltonian Systems; Exponential Fitting;
D O I：
10.1063/1.4825719
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we construct a modified trigonometrically fitted symplectic Runge Kutta Nystrom method based on the forth order five stages method of Calvo and Sanz-Serna. We apply the new method on the numerical integration of the two-body problem.
引用
收藏
页码：1176 / 1180
页数：5
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