Difference methods for computing the Ginzburg-Landau equation in two dimensions

DOI10.1002/num.20535zbMath1218.65089OpenAlexW2159395566WikidataQ115398415 ScholiaQ115398415MaRDI QIDQ2998895

Qian-shun Chang, Qiu-Bin Xu

Publication date: 11 May 2011

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20535

zbMATH Keywords

stabilityconvergencenumerical resultsdifference schemeGinzburg-Landau equationperiodic boundary conditionsalgebraic multigrid methodtime-splitting schemesemi-explicit Crank-Nicolson scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Ginzburg-Landau equations (35Q56)

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Cites Work

• Dimension of the attractors associated to the Ginzburg-Landau partial differential equation
• On the algebraic multigrid method
• Low-dimensional behaviour in the complex Ginzburg-Landau equation
• On the Cauchy problem for the 1+2 complex Ginzburg-Landau equation

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