Construction of Exponentially Fitted Symplectic Runge–Kutta–Nyström Methods from Partitioned Runge–Kutta Methods

被引：0
|
作者：
T. Monovasilis
Z. Kalogiratou
T. E. Simos
机构：
[1] Institute of Western Macedonia at Kastoria,Department of International Trade, Technological Educational
[2] Technological Educational Institution of Western Macedonia at Kastoria,Department of Computer Science and Technology
[3] College of Sciences,Department of Mathematics
[4] King Saud University,Laboratory of Computational Sciences, Department of Informatics and Telecommunications, Faculty of Economy, Management and Informatics
[5] University of Peloponnese,undefined
来源：
Mediterranean Journal of Mathematics | 2016年 / 13卷
关键词：
65L05; Partitioned Runge–Kutta methods; Runge–Kutta–Nyström methods; symplectic methods; Hamiltonian systems; trigonometrical fitting;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work, we give the general framework for constructing trigonometrically fitted symplectic Runge–Kutta–Nyström (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.
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页码：2271 / 2285
页数：14
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