摘要
近来,哈密尔顿偏微分方程多辛算法的研究越来越热门.多辛算法已经成为保结构算法的一个重要分支.对哈密尔顿偏微分方程多辛算法的发展进行了综述,其中包括其基本概念、主要结果和一些应用.此外,文章还部分阐述了多辛算法概念的推广和延伸.
Recently, multi-symplectic discretizations of Hamiltonian partial differential equations （PDEs） are drawing much attention and therefore have become the vigorous component of the structure-preserving algorithms. This paper reviews the development of multi-symplectic algorithms for Hamiltonian PDEs, which includes the basic concepts, some main results, and their applications. Several generalizations are also described.
出处
《应用数学与计算数学学报》
2013年第2期163-230,共68页
Communication on Applied Mathematics and Computation
基金
Project supported by the National High-Tech Research and Development Program of China(863 Program)(2010AA012304)
the National Natural Science Foundation of China(11271195
91130003
11021101)
关键词
多辛算法
哈密尔顿偏微分方程
保结构算法
multi-symplectic algorithm, Hamiltonian partial differential equation （PDE）, structure-preserving method
