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Generalized Jacobi-Gauss-Lobatto Interpolation
  • ISSN号：1673-3452
  • 期刊名称：Frontiers of Mathematics in China
  • 时间：2013.8
  • 页码：933-960
  • 分类：O241.82[理学—计算数学;理学—数学]
  • 作者机构：[1]南京师范大学数学科学学院,江苏省重点实验室大规模复杂系统数值模拟,南京210046, [2]中国科学院数学与系统科学研究院,计算数学与科学工程计算研究所,科学与工程计算国家重点实验室,北京100190
  • 相关基金：Project supported by the National High-Tech Research and Development Program of China （863 Program） （2010AA012304） and the National Natural Science Foundation of China （11271195; 91130003; 11021101）
  • 相关项目：随机微分方程高性能数值算法理论与应用
作者： Zhengsu Wan|Benyu Guo|Chengjian Zhang|
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
中文摘要：

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.

英文摘要：

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.

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时滞微分方程的数值动力性
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随机微分方程高性能数值算法理论与应用
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期刊信息
  • 《中国数学前沿：英文版》
  • 主管单位:中华人民共和国教育部
  • 主办单位:高等教育出版社
  • 主编：张恭庆
  • 地址：北京市朝阳区惠新东街4号富盛大厦15层
  • 邮编：100029
  • 邮箱：
  • 电话：010-58556485
  • 国际标准刊号：ISSN：1673-3452
  • 国内统一刊号：ISSN：11-5739/O1
  • 邮发代号:80-964
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国剑桥科学文摘,美国科学引文索引（扩展库）
  • 被引量:10