Abstract
A modified Galerkin (the "Euler-Galerkin") algorithmj for the computational of inertial manifolds is described and applied to reaction diffusion and the Kuramoto-Sivashinsky (KS) equation. In the context of the (KS) equation, a low-dimensional Euler-Galerkin approximation (n = 3) is distinctly superior to the traditional Galerkin of the same dimension, and comparable to a traditional Galerkin of a much higher dimension (n = 16).
| Original language | English (US) |
|---|---|
| Pages (from-to) | 433-436 |
| Number of pages | 4 |
| Journal | Physics Letters A |
| Volume | 131 |
| Issue number | 7-8 |
| DOIs | |
| State | Published - Sep 5 1988 |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
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Foias, C., Jolly, M. S., Kevrekidis, I. G., Sell, G. R., & Titi, E. S. (1988). On the computation of inertial manifolds. Physics Letters A, 131(7-8), 433-436. https://doi.org/10.1016/0375-9601(88)90295-2