On the computation of inertial manifolds

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

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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 languageEnglish (US)
Pages (from-to)433-436
Number of pages4
JournalPhysics Letters A
Volume131
Issue number7-8
DOIs
StatePublished - 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