On the discretization of a partial differential equation in the neighborhood of a periodic orbit

DOI10.1007/BF01385746zbMath0791.65071OpenAlexW2035783537WikidataQ115393649 ScholiaQ115393649MaRDI QIDQ1326440

François Alouges, Arnaud Debussche

Publication date: 7 July 1994

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133729

zbMATH Keywords

evolution equationsemigroupstime discretizationinvariant closed curvehyperbolic periodic orbit

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic solutions to PDEs (35B10) Nonlinear differential equations in abstract spaces (34G20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with nonlinear operators (65J15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items

Dynamics of numerical approximations ⋮ Periodic orbits of delay differential equations under discretization ⋮ Periodic orbits and unstable manifolds for ordinary differential equations ⋮ Runge-Kutta time discretization of reaction-diffusion and Navier-Stokes equations: Nonsmooth-data error estimates and applications to long-time behaviour ⋮ A General Approximation Scheme for Attractors of Abstract Parabolic Problems

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