Journal
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Volume 22, Issue 6, Pages 2216-2238Publisher
SIAM PUBLICATIONS
DOI: 10.1137/S1064827599351738
Keywords
computation of inertial manifolds; approximate inertial manifolds; Kuramoto-Sivashinsky equation
Categories
Ask authors/readers for more resources
An algorithm is implemented for the computation of inertial manifolds to arbitrary accuracy. It is applied to the Kuramoto-Sivashinsky equation to recover the high wave number components of elements on the global attractor. The computational results demonstrate that this algorithm is significantly more accurate than previous methods, when compared after just a few iterations. An essential feature of the algorithm is that it does not require that the entire manifold be constructed. Hence the algorithm is particularly suited for computing trajectories on the manifold, and its computational complexity is independent of the dimension.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available