Spectral methods for mesoscopic models of pattern formation

Authors

DJ Horntrop
MA Katsoulakis, University of Massachusetts - AmherstFollow
DG Vlachos

Publication Date

2001

Journal or Book Title

JOURNAL OF COMPUTATIONAL PHYSICS

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.

Comments

The published version is located at http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WHY-45BC25V-2R&_user=1516330&_coverDate=10%2F10%2F2001&_rdoc=1&_fmt=high&_orig=gateway&_origin=gateway&_sort=d&_docanchor=&view=c&_acct=C000053443&_version=1&_urlVersion=0&_userid=1516330&md5=a383f2ee4b20ef267858b99e18410ffd&searchtype=a

Pages

364-390

Volume

173

Issue

1

Recommended Citation

Horntrop, DJ; Katsoulakis, MA; and Vlachos, DG, "Spectral methods for mesoscopic models of pattern formation" (2001). JOURNAL OF COMPUTATIONAL PHYSICS. 468.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/468