Moving Mesh Techniques Based upon Equidistribution, and Their Stability

Various aspects of the moving mesh problem are investigated for the solution of partial differential equations (PDEs) in one space dimension. In particular, methods based (explicitly or implicitly) upon an equidistribution principle are studied. It is shown that equidistribution implicitly correspon...

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Bibliographic Details

Published in:	SIAM journal on scientific and statistical computing Vol. 13; no. 6; pp. 1265 - 1286
Main Authors:	Ren, Yuhe, Russell, Robert D.
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.11.1992
Subjects:	Exact sciences and technology Mathematics Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Partial differential equations Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use One dimensional space Grid pattern Burgers equation Reaction diffusion equation Partial differential equation Numerical stability
ISSN:	0196-5204, 1064-8275, 2168-3417, 1095-7197
Online Access:	Get full text
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