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Error in approximation of Lyapunov exponents on inertial manifolds: The Kuramoto-Sivashinsky equation

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  • We provide an analysis of the error in approximating Lyapunov exponents of dissipative PDEs on inertial manifolds using QR techniques. The reduction in the number of modes needed for an inertial form facilitates the error analysis. Numerical computations on the Kuramoto-Sivashinsky equation illustrate the results.
    Mathematics Subject Classification: 35F20, 35Q35, 58F39, 65L, 65M70.

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