On the Richardson extrapolation as applied to the sequential splitting method

István Faragó, Ágnes Havasi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

It is known from the literature that applying the same ODE solver by using two different step sizes and combining appropriately the obtained numerical solutions at each time step we can increase the convergence order of the method. Moreover, this technique allows us to estimate the absolute error of the underlying method. In this paper we apply this procedure, widely known as Richardson extrapolation, to the sequential splitting, and investigate the performance of the obtained scheme on several test examples.

Original languageEnglish
Title of host publicationLarge-Scale Scientific Computing - 6th International Conference, LSSC 2007, Revised Papers
Pages184-191
Number of pages8
DOIs
Publication statusPublished - Dec 1 2008
Event6th International Conference on Large-Scale Scientific Computing, LSSC 2007 - Sozopol, Bulgaria
Duration: Jun 5 2007Jun 9 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4818 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other6th International Conference on Large-Scale Scientific Computing, LSSC 2007
CountryBulgaria
CitySozopol
Period6/5/076/9/07

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ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Faragó, I., & Havasi, Á. (2008). On the Richardson extrapolation as applied to the sequential splitting method. In Large-Scale Scientific Computing - 6th International Conference, LSSC 2007, Revised Papers (pp. 184-191). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4818 LNCS). https://doi.org/10.1007/978-3-540-78827-0_19