Accurately model the Kuramoto-Sivashinsky dynamics with holistic discretisation
Article
MacKenzie, T. and Roberts, A. J.. 2006. "Accurately model the Kuramoto-Sivashinsky dynamics with holistic discretisation." SIAM Journal on Applied Dynamical Systems. 5 (3), pp. 365-402. https://doi.org/10.1137/050627733
| Article Title | Accurately model the Kuramoto-Sivashinsky dynamics with holistic discretisation |
|---|---|
| ERA Journal ID | 392 |
| Article Category | Article |
| Authors | MacKenzie, T. (Author) and Roberts, A. J. (Author) |
| Journal Title | SIAM Journal on Applied Dynamical Systems |
| Journal Citation | 5 (3), pp. 365-402 |
| Number of Pages | 38 |
| Year | 2006 |
| Place of Publication | Philadelphia, PA. United States |
| ISSN | 1536-0040 |
| Digital Object Identifier (DOI) | https://doi.org/10.1137/050627733 |
| Web Address (URL) | https://epubs.siam.org/doi/10.1137/050627733 |
| Abstract | We analyze the nonlinear Kuramoto-Sivashinsky equation to develop accurate discretizations modeling its dynamics on coarse grids. The analysis is based upon center manifold theory, so we are assured that the discretization accurately models the dynamics and may be constructed systematically. The theory is applied after dividing the physical domain into small elements by introducing isolating |
| Keywords | Kuramoto-Sivashinsky equation; low-dimensional modeling; computational discretizations; multiscale modeling |
| ANZSRC Field of Research 2020 | 490302. Numerical analysis |
| 490409. Ordinary differential equations, difference equations and dynamical systems | |
| 490404. Combinatorics and discrete mathematics (excl. physical combinatorics) | |
| Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
| Byline Affiliations | Department of Mathematics and Computing |
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