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• W2096004660 abstract "A linearized Crank–Nicolson-type scheme is proposed for the two-dimensional complex Ginzburg–Landau equation. The scheme is proved to be unconditionally convergent in the L2 -norm by the discrete energy method. The convergence order is documentclass{article}usepackage{mathrsfs}usepackage{amsmath}pagestyle{empty} begin{document} begin{align*}mathcal{O}(tau^2+h_1^2+h^2_2)end{align*} end{document}, where τ is the temporal grid size and h1,h2 are spatial grid sizes in the x - and y -directions, respectively. A numerical example is presented to support the theoretical result. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013" @default.
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• W2096004660 date "2013-01-20" @default.
• W2096004660 modified "2023-09-24" @default.
• W2096004660 title "Convergence analysis of a linearized Crank-Nicolson scheme for the two-dimensional complex Ginzburg-Landau equation" @default.
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• W2096004660 doi "https://doi.org/10.1002/num.21763" @default.
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