Construction of Exponentially Fitted Symplectic Runge-Kutta-Nystrom Methods from Partitioned Runge-Kutta Methods

被引：115

作者：

Monovasilis, T. ^{[1
]}

Kalogiratou, Z. ^{[2
]}

Simos, T. E. ^{[3
,4
]}

机构：

[1] Technol Educ Inst Western Macedonia Kastoria, Dept Int Trade, POB 30, Kastoria 52100, Greece

[2] Technol Educ Inst Western Macedonia Kastoria, Dept Comp Sci & Technol, Kastoria, Greece

[3] King Saud Univ, Dept Math, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia

[4] Univ Peloponnese, Fac Econ Management & Informat, Dept Informat & Telecommun, Sci Computat Lab, GR-22100 Tripolis, Greece

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 04期

关键词：

Partitioned Runge-Kutta methods; Runge-Kutta-Nystrom methods; symplectic methods; Hamiltonian systems; trigonometrical fitting; INITIAL-VALUE PROBLEMS; NUMERICAL-INTEGRATION; FREQUENCY EVALUATION;

D O I：

10.1007/s00009-015-0587-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we give the general framework for constructing trigonometrically fitted symplectic Runge-Kutta-Nystrom (RKN) methods from symplectic trigonometrically fitted partitioned Runge-Kutta (PRK) methods. We construct RKN methods from PRK methods with up to five stages and fourth algebraic order. Numerical results are given for the two-body problem and the perturbed two-body problem.

引用

页码：2271 / 2285

页数：15

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