EFFECT OF VARIABLE MESH SIZE ON THE STABILITY OF MULTISTEP METHODS.

C. W. Gear, K. W. Tu

Research output: Contribution to journalArticle

64 Scopus citations

Abstract

The effects of two different techniques for implementing variable mesh sizes in multistep formulas are investigated. It is proved that one is stable for a greater variation in step sizes than the other with Adams formulas, but that both are stable when the rate of step changing is small with any multistep formula. The practical implications of these results are discussed.

Original languageEnglish (US)
Pages (from-to)1025-1043
Number of pages19
JournalSIAM Journal on Numerical Analysis
Volume11
Issue number5
DOIs
StatePublished - 1974

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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