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Abstract: . We present an extension to two space dimensions of the gradient random walk algorithm for reaction-diffusion equations. This family of algorithms is related closely to the random vortex method of computational fluid dynamics. Although the computational cost is high, the method has the desirable features of being grid free and of automatically adapting to the solution by concentrating elements where the gradient is large. In addition, the method can be extended easily to more than two space... (Update)
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BibTeX entry: (Update)
A. S. Sherman and M. Mascagni, A gradient random walk method for two-dimensional reactiondiffusion equations, SIAM Journal on Scientific Computing 15 (1994), 1280--1293. http://citeseer.ist.psu.edu/sherman92gradient.html More
@article{ sherman94gradient,
author = "Arthur Sherman and Michael Mascagni",
title = "A Gradient Random Walk Method for Two-Dimensional Reaction-Diffusion Equations",
journal = "SIAM Journal on Scientific Computing",
volume = "15",
number = "6",
pages = "1280--1293",
year = "1994",
url = "citeseer.ist.psu.edu/sherman92gradient.html" }
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