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November  2002, 8(4): 815-833. doi: 10.3934/dcds.2002.8.815

Computing inertial manifolds

James C. Robinson 1,

1. 

Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom

Received  March 2001 Revised  March 2002 Published  July 2002

This paper discusses two numerical schemes that can be used to approximate inertial manifolds whose existence is given by one of the standard methods of proof. The methods considered are fully numerical, in that they take into account the need to interpolate the approximations of the manifold between a set of discrete gridpoints. As all the discretisations are refined the approximations are shown to converge to the true manifold.
Keywords: approximate inertial manifolds., Inertial manifolds.
Mathematics Subject Classification: 35B40, 35K22, 65M1.
Citation: James C. Robinson. Computing inertial manifolds. Discrete & Continuous Dynamical Systems, 2002, 8 (4) : 815-833. doi: 10.3934/dcds.2002.8.815
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