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.
Original language | English (US) |
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Pages (from-to) | 364-390 |
Number of pages | 27 |
Journal | Journal of Computational Physics |
Volume | 173 |
Issue number | 1 |
DOIs | |
State | Published - Oct 10 2001 |
All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Modeling and Simulation
- Physics and Astronomy (miscellaneous)
- General Physics and Astronomy
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics
Keywords
- Interacting particle systems
- Mesoscopic models
- Monte Carlo
- Spectral methods