Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 145, Issue 2-3, Pages 777-794Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/S0096-3003(03)00274-1
Keywords
stability analysis; convection-diffusion; finite differences
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In this review we present different techniques for obtaining stability limits for a finite difference scheme-the forward-time and space-centered numerical scheme applied to the convection-diffusion equation. A survey of past attempts to state stability conditions for this scheme illustrates the difficulties in stability analysis that arise as soon as a scheme becomes more complex and illuminates the concepts of necessary and sufficient conditions for stability. (C) 2003 Elsevier Inc. All rights reserved.
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