Some computational aspects of approximate inertial manifolds and finite differences

DOI10.3934/DCDS.1996.2.417zbMath0949.65135OpenAlexW1968210141MaRDI QIDQ1576705

Rolf Bronstering

Publication date: 16 August 2000

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.1996.2.417

zbMATH Keywords

numerical resultsKuramoto-Sivashinsky equationreaction diffusion equationsnonlinear evolution equationsapproximate inertial manifoldsdissipative evolutionary equationsfinite difference semidiscretizationsfrequency decompositions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Simulation of dynamical systems (37M05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

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