Spectral methods for mesoscopic models of pattern formation

Document Type

Article

Publication Date

10-10-2001

Abstract

In this paper we present spectral algorithms for the solution of mesoscopic equations describing a broad class of pattern formation mechanisms, focusing on a prototypical system of surface processes. These models are in principle stochastic integrodifferential equations and are derived directly from microscopic lattice models, containing detailed information on particle-particle interactions and particle dynamics. The enhanced computational efficiency and accuracy of spectral methods versus finite difference methods are also described. © 2001 Academic Press.

Identifier

0035841067 (Scopus)

Publication Title

Journal of Computational Physics

External Full Text Location

https://doi.org/10.1006/jcph.2001.6883

ISSN

00219991

First Page

364

Last Page

390

Issue

1

Volume

173

Grant

CTS-9702615

Fund Ref

National Science Foundation

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