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) |
|---|---|
| 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