On the computation of inertial manifolds

C. Foias; M. S. Jolly; I. G. Kevrekidis; G. R. Sell; E. S. Titi

doi:10.1016/0375-9601(88)90295-2

On the computation of inertial manifolds

C. Foias, M. S. Jolly, I. G. Kevrekidis, G. R. Sell, E. S. Titi

Mathematics

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208 Scopus citations

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	https://doi.org/10.1016/0375-9601(88)90295-2
State	Published - Sep 5 1988

Bibliographical note

Funding Information:
An inertial manifold is a finite-dimensional, exponentially attracting, positively invariant Lipschitz This work was partially supported by NSF grants CBT-8707090, EET-8717787, DMS-8507784, and DMS-8501933, DOE grant DE-FG02-86ER25020, and the Applied and Computational Mathematics Pmgram/DARPA.

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AU - Foias, C.

AU - Jolly, M. S.

AU - Kevrekidis, I. G.

AU - Sell, G. R.

AU - Titi, E. S.

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On the computation of inertial manifolds

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