A Nonstiff Euler Discretization of the Complex Ginzburg--Landau Equation in One Space Dimension

DOI10.1137/S0036142998332852zbMath0965.65111MaRDI QIDQ4509684

Peter Takáč, Ansgar Jüngel

Publication date: 19 October 2000

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

numerical resultserror estimatesdissipativitytime discretizationfinite Fourier seriesFaedo-Galerkin approximationexplicit Euler methodcomplex semilinear Ginzburg-Landau equationnonstiffness

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

Numerical computation of \(\varepsilon\)-entropy for parabolic equations with analytic solutions ⋮ A new compact finite difference scheme for solving the complex Ginzburg-Landau equation ⋮ Long Time Behavior of Difference Approximations for the Two-Dimensional Complex Ginzburg–Landau Equation ⋮ Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation

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