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作者:

Xu, Xiuxiu (Xu, Xiuxiu.) | Huang, Qiumei (Huang, Qiumei.) | Chen, Hongtao (Chen, Hongtao.)

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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. Pi(h)u of the exact solution u. The theoretical results are illustrated by numerical examples.

关键词:

Continuous Galerkin methods Pantograph delay differential equations Supercloseness Superconvergence Uniform mesh

作者机构:

  • [ 1 ] [Xu, Xiuxiu]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
  • [ 2 ] [Huang, Qiumei]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
  • [ 3 ] [Chen, Hongtao]Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
  • [ 4 ] [Chen, Hongtao]Xiamen Univ, Fujian Prov Key Lab Math Modeling & High Performa, Xiamen 361005, Peoples R China

通讯作者信息:

  • [Huang, Qiumei]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China

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来源 :

JOURNAL OF COMPUTATIONAL MATHEMATICS

ISSN: 0254-9409

年份: 2016

期: 2

卷: 34

页码: 186-199

0 . 9 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:45

中科院分区:3

被引次数:

WoS核心集被引频次: 13

SCOPUS被引频次: 14

ESI高被引论文在榜: 0 展开所有

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中文被引频次:

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