QUASILINEAR MULTISTEP METHODS AND VARIABLE STEP PREDICTOR-CORRECTOR METHODS FOR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS.

Research output: Contribution to journalArticle

31 Scopus citations

Abstract

The theory of quasilinear multistep methods and predictor-corrector methods for neutral functional differential equations is developed. The theorem about the asymptotic behaviour of the global discretization error of quasilinear methods, which forms a theoretical basis for step control strategy for predictor-corrector methods for neutral equations, is given. Some problems of implementation of these methods are also addressed, and the results of numerical experiments are presented.

Original languageEnglish (US)
Pages (from-to)423-452
Number of pages30
JournalSIAM Journal on Numerical Analysis
Volume23
Issue number2
DOIs
StatePublished - Jan 1 1986
Externally publishedYes

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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