TY - JOUR
T1 - On the computation of inertial manifolds
AU - Foias, C.
AU - Jolly, M. S.
AU - Kevrekidis, I. G.
AU - Sell, G. R.
AU - Titi, E. S.
PY - 1988/9/5
Y1 - 1988/9/5
N2 - 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).
AB - 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).
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U2 - 10.1016/0375-9601(88)90295-2
DO - 10.1016/0375-9601(88)90295-2
M3 - Article
AN - SCOPUS:0001157761
VL - 131
SP - 433
EP - 436
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 7-8
ER -