Sixth order compact approximation with completed Richardson extrapolation

Ruxin Dai, Jun Zhang, Yin Wang

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The sixth order compact approximation described in this article is a kind of Richardson extrapolation-based method, which uses two different scale grids to improve the order of accuracy of numerical solutions. Since the extrapolated solution with higher order accuracy is on the coarse grid, we consider to use completed Richardson extrapolation to get a higher order solution on the entire fine grid. Both truncation error analysis and numerical investigation are conducted to compare the proposed method and an existed Richardson extrapolation-based sixth order method with operator based interpolation.

Original languageEnglish
Title of host publicationProceedings - 2013 International Conference on Computational and Information Sciences, ICCIS 2013
Pages966-971
Number of pages6
DOIs
StatePublished - 2013
Event2013 5th International Conference on Computational and Information Sciences, ICCIS 2013 - Shiyan, Hubei, China
Duration: Jun 21 2013Jun 23 2013

Publication series

NameProceedings - 2013 International Conference on Computational and Information Sciences, ICCIS 2013

Conference

Conference2013 5th International Conference on Computational and Information Sciences, ICCIS 2013
Country/TerritoryChina
CityShiyan, Hubei
Period6/21/136/23/13

Keywords

  • Richardson extrapolation
  • Sixth order compact scheme
  • Truncation error analysis

ASJC Scopus subject areas

  • Information Systems

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