On discretizations of invariant foliations over inertial manifolds

DOI10.1016/J.JMAA.2004.06.063zbMath1162.37333OpenAlexW2081868475MaRDI QIDQ705295

Gyula Farkas

Publication date: 26 January 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.06.063

zbMATH Keywords

Discretization\(C^1\)-estimateInertial manifoldInvariant foliation

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Inertial manifolds (35B42) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25) Approximation methods and numerical treatment of dynamical systems (37M99)

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• Inertial manifolds of parabolic differential equations under high-order discretizations
• Invariant foliations near normally hyperbolic invariant manifolds for semiflows
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• Geometric implications of linearizability

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