Discrete gevrey regularity attractors and uppers–semicontinuity for a finite difference approximation to the ginzburg–landau equation

DOI10.1080/01630569508816658zbMath0877.65062OpenAlexW2024204225MaRDI QIDQ4863090

Andrew M. Stuart, Gabriel J. Lord

Publication date: 4 February 1996

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569508816658

zbMATH Keywords

error estimatesGinzburg-Landau equationGevrey classessemi-discrete systemdiscrete Gevrey regularitydiscrete global attractor

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Statistical mechanics of superconductors (82D55) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Dynamical systems and ergodic theory (37-XX)

Related Items (5)

Preasymptotic error analysis of high order interior penalty discontinuous Galerkin methods for the Helmholtz equation with high wave number ⋮ Solution of lambda-omega systems: Theta-schemes and multigrid methods ⋮ Long Time Behavior of Difference Approximations for the Two-Dimensional Complex Ginzburg–Landau Equation ⋮ Preasymptotic Error Analysis of Higher Order FEM and CIP-FEM for Helmholtz Equation with High Wave Number ⋮ Numerical algorithms for stationary statistical properties of dissipative dynamical systems

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