Error control strategy in error correction methods

Philsu Kim, Sunyoung Bu

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In this paper, we present the error control techniques for the error correction methods (ECM) which is recently developed by P. Kim et al. [8, 9]. We formulate the local truncation error at each time and calculate the approximated solution using the solution and the formulated truncation error at previous time for achieving uniform error bound which enables a long time simulation. Numerical results show that the error controlled ECM provides a clue to have uniform error bound for well conditioned problems [1].

Original languageEnglish
Pages (from-to)301-311
Number of pages11
JournalKyungpook Mathematical Journal
Volume55
Issue number2
DOIs
StatePublished - 2015

Keywords

  • Error control
  • Error correction method
  • Local truncation error
  • Runge-Kutta method
  • Well-conditioned problem

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