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

页码：1176 / 1180

页数：5

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