Abstract
The finite difference approximations of the dynamical systems governed by two-dimensional complex Ginzburg–Landau equation was considered. For a fully discrete scheme, the solvability, stability and convergence are proved in discrete Sobolev spaces. Furthermore, the existence of global attractors 𝒜 h, τ of the discrete system and the upper semicontinuity dist(𝒜 h, τ, 𝒜) → 0 are obtained.
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