DISCONTINUOUS GALERKIN METHODS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE

被引：71

作者：

Brunner, Hermann ^{[1
,2
]}

Huang, Qiumei ^{[3
]}

Xie, Hehu ^{[4
]}

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

[2] Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China

[3] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

[4] Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2010年 / 48卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

pantograph delay differential equations; vanishing proportional delay; discontinuous Galerkin method; optimal order of superconvergence; INTEGRODIFFERENTIAL EQUATIONS; COLLOCATION METHODS; PROPORTIONAL DELAY; NUMERICAL-ANALYSIS; VANISHING DELAYS; SUPERCONVERGENCE; MESHES;

D O I：

10.1137/090771922

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the application of the discontinuous Galerkin method to delay differential equations with vanishing delay qt (0 < q < 1). Our aim is to establish optimal global and local superconvergence results on uniform meshes and compare these with analogous estimates for collocation methods. The theoretical results are illustrated by a broad range of numerical examples.

引用

页码：1944 / 1967

页数：24

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