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

Chung Chiang Chou; Yuefan Deng

doi:10.1023/A:1023237317673

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

Chung Chiang Chou
, Yuefan Deng

Applied Mathematics and Statistics

National Changhua University of Education

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 language	English
Pages (from-to)	405-417
Number of pages	13
Journal	Journal of Scientific Computing
Volume	13
Issue number	4
DOIs	https://doi.org/10.1023/A:1023237317673
State	Published - Dec 1998

Keywords

Linear equations
Nonlinear parabolic equations
Parallel computing

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10.1023/A:1023237317673

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title = "Numerical solutions of a nonlinear evolution system with small dissipation on parallel processors",

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.",

keywords = "Linear equations, Nonlinear parabolic equations, Parallel computing",

author = "Chou, \{Chung Chiang\} and Yuefan Deng",

year = "1998",

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T1 - Numerical solutions of a nonlinear evolution system with small dissipation on parallel processors

AU - Chou, Chung Chiang

AU - Deng, Yuefan

PY - 1998/12

Y1 - 1998/12

N2 - 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.

AB - 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.

KW - Linear equations

KW - Nonlinear parabolic equations

KW - Parallel computing

UR - https://www.scopus.com/pages/publications/0032269529

U2 - 10.1023/A:1023237317673

DO - 10.1023/A:1023237317673

M3 - Article

AN - SCOPUS:0032269529

SN - 0885-7474

VL - 13

SP - 405

EP - 417

JO - Journal of Scientific Computing

JF - Journal of Scientific Computing

IS - 4

ER -

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

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