Symmetric and symplectic ERKN methods for oscillatory Hamiltonian systems

被引：26

作者：

Chen, Zhaoxia ^{[1
]}

You, Xiong ^{[1
,2
]}

Shi, Wei ^{[1
,2
]}

Liu, Zhongli ^{[1
]}

机构：

[1] Nanjing Agr Univ, Dept Appl Math, Nanjing 210095, Jiangsu, Peoples R China

[2] Nanjing Univ, State Key Lab Novel Software Technol, Nanjing 210093, Jiangsu, Peoples R China

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2012年 / 183卷 / 01期

关键词：

Symmetry; Symplecticity; ERKN methods; Hamiltonian systems; KUTTA-NYSTROM METHOD; NUMERICAL-INTEGRATION;

D O I：

10.1016/j.cpc.2011.09.002

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The ERKN methods proposed by H. Yang et al. [Comput. Phys. Comm. 180 (2009) 1777] are an important improvement of J.M. Franco's ARKN methods for perturbed oscillators [J.M. Franco, Comput. Phys. Comm. 147 (2002) 770]. This paper focuses on the symmetry and symplecticity conditions for ERKN methods solving oscillatory Hamiltonian systems. Two examples of symmetric and symplectic ERKN (SSERKN) methods of orders two and four respectively are constructed. The phase and stability properties of the new methods are analyzed. The results of numerical experiments show the robustness and competence of the SSERKN methods compared with some well-known methods in the literature. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：86 / 98

页数：13

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