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Numerical Solutions of a Nonlinear Evolution System with Small Dissipation on Parallel Processors

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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.

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Authors and Affiliations

  1. Department of Mathematics, National Changhua University of Education, Changhua, 50058, Taiwan

    Chung-Chiang Chou

  2. Center of Scientific Computing, State University of New York at Stony Brook, Stony Brook, New York, 11794

    Yuefan Deng

Authors
  1. Chung-Chiang Chou
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  2. Yuefan Deng
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Chou, CC., Deng, Y. Numerical Solutions of a Nonlinear Evolution System with Small Dissipation on Parallel Processors. Journal of Scientific Computing 13, 405–417 (1998). https://doi.org/10.1023/A:1023237317673

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