Numerical solutions of a nonlinear evolution system with small dissipation on parallel processors

Chung Chiang Chou, Yuefan Deng

Research output: Contribution to journalArticlepeer-review

Abstract

A nonlinear evolution system constructed from the Lorenz system is solved numerically by a parallelized predictor-corrector method. The numerical solution of such system reveals the details of interactions between dissipation and ellipticity and it may lead to better understanding of instability in some physical systems. Our algorithm and its implementation for solving this system is of general use for the study of strictly nonlinear parabolic equations.

Original languageEnglish (US)
Pages (from-to)405-417
Number of pages13
JournalJournal of Scientific Computing
Volume13
Issue number4
DOIs
StatePublished - Dec 1998

Keywords

  • Linear equations
  • Nonlinear parabolic equations
  • Parallel computing

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • General Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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