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Author:

Huang, Qiumei (Huang, Qiumei.) (Scholars:黄秋梅) | Jiang, Kun (Jiang, Kun.) | Xu, Xiuxiu (Xu, Xiuxiu.)

Indexed by:

Scopus SCIE

Abstract:

In this paper we propose several postprocessing techniques to accelerate the convergence of the continuous Galerkin solutions for delay differential equations with nonlinear vanishing delay. They are interpolation postprocessings (including integration type, Lagrange type, and polynomial preserving recovery type) and iteration postprocessing. The theoretical expectations are confirmed by numerical experiments.

Keyword:

quasi-graded mesh Pantograph delay differential equations continuous Galerkin methods postprocessing global superconvergence

Author Community:

  • [ 1 ] [Huang, Qiumei]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
  • [ 2 ] [Jiang, Kun]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
  • [ 3 ] [Xu, Xiuxiu]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 黄秋梅

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

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Source :

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING

ISSN: 1705-5105

Year: 2019

Issue: 5

Volume: 16

Page: 718-730

1 . 1 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:54

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count: 3

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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