On the generation of higher order numerical integration methods using lower order Adams-Bashforth and Adams-Moulton methods

J. C. Chiou, S. D. Wu

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this paper, a new explicit numerical integration method is proposed. The proposed method is based on the relationship that m-step Adams-Moulton method is the linear convex combination of (m-1)-step Adams-Moulton and m-step Adams-Bashforth methods with a fixed weighting coefficient. By examining the order of accuracy and stability regions, we conclude that the present method is superior to the traditional Adams-Bashforth-Moulton predictor-corrector method. A simple harmonic oscillator problem is used to demonstrate the efficiency of the proposed method.

Original languageEnglish
Pages (from-to)19-29
Number of pages11
JournalJournal of Computational and Applied Mathematics
Volume108
Issue number1-2
DOIs
Publication statusPublished - 1999 Aug 15

Keywords

  • Accuracy and stability analysis
  • Adams-Moulton and Adams-Bashforth numerical integrator

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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