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LOCAL SUPERCONVERGENCE OF CONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE
  • ISSN号:0254-9409
  • 期刊名称:《计算数学:英文版》
  • 时间:0
  • 分类:O241.83[理学—计算数学;理学—数学] O241.8[理学—计算数学;理学—数学]
  • 作者机构:[1]Beijing Institute for Scientific and Engineering Computing, Beijing University of Technology, Beijing 100124, China, [2]School of Mathematical Sciences and Fujian Provincial Key Laboratory on Mathematical Modeling and High Performance Scientific Computing, Xiamen University, Xiamen 361005, China
  • 相关基金:Acknowledgments. The second author is supported by NSFC (Nos. 11571027, 91430215), by Beijing Nova Program (No. 2151100003150140) and by the Importation and Development of High-Caliber Talents Project of Beijing Municipal Institutions (No. CIT&TCD201504012). The third author is supported by the Natural Science Foundation of Fujian Province of China (No.2013J05015), by NSFC (No.11301437), and by the Fundamental Research ~nds for the Central Universities (No. 20720150004).
中文摘要:

这份报纸涉及缩放仪的微分方程打的延期的连续 Galerkin 解决方案的 superconvergent 点。我们在一致网孔下面证明本地人是连续 Galerkin 答案的节的 superconvergence 并且基于在连续 Galerkin 答案 U 和准确答案 u 的插值 hu 之间的 supercloseness 定位所有 superconvergent 点。理论结果被数字例子说明。 '

英文摘要:

This paper is concerned with the superconvergent points of the continuous Galerkin solutions for delay differential equations of pantograph type. We prove the local nodal superconvergence of continuous Galerkin solutions under uniform meshes and locate all the superconvergent points based on the supercloseness between the continuous Galerkin solution U and the interpolation Hhu of the exact solution u. The theoretical results are illustrated by numerical examples.

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期刊信息
  • 《计算数学:英文版》
  • 主管单位:
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编:
  • 地址:北京2719信箱
  • 邮编:100080
  • 邮箱:
  • 电话:
  • 国际标准刊号:ISSN:0254-9409
  • 国内统一刊号:ISSN:11-2126/O1
  • 邮发代号:
  • 获奖情况:
  • 中国期刊方阵“双效”期刊
  • 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,美国科学引文索引(扩展库),英国科学文摘数据库,日本日本科学技术振兴机构数据库
  • 被引量:193