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Stabilization of explicit methods for convection diffusion equations by discrete mollification

✍ Scribed by Carlos D. Acosta; Carlos E. Mejía

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
543 KB
Volume
55
Category
Article
ISSN
0898-1221

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✦ Synopsis

The main goal of this paper is to show that discrete mollification is a simple and effective way to speed up explicit time-stepping schemes for partial differential equations. The second objective is to enhance the mollification method with a variety of alternatives for the treatment of boundary conditions. The numerical experiments indicate that stabilization by mollification is a technique that works well for a variety of explicit schemes applied to linear and nonlinear differential equations.

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