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Various aspects of the problem of computing inertial manifolds for dissipative partial differential equations are investigated. In particular, methods are proposed which generalize previous ones and improve upon some of their limitations. The basic ideas and techniques are exemplified mainly for the Kuramoto–Sivashinsky equation. This equation is chosen because it is fairly simple but the dynamics are sufficiently complicated, and it is a classical case for which a considerable amount of computational experience has been well documented.
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Russell et al. (1993) studied this question.
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