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

Chung-Chiang Chou, Yuefan Deng

Research output: Contribution to journalArticle

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
Pages (from-to)405-417
Number of pages13
JournalJournal of Scientific Computing
Volume13
Issue number4
DOIs
Publication statusPublished - 1998 Dec 1

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All Science Journal Classification (ASJC) codes

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • Engineering(all)
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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