Fourier spectral approximations to the dynamics of 3D fractional complex Ginzburg-Landau equation
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Publication:514015
DOI10.3934/dcds.2017109zbMath1357.65196OpenAlexW2590308811MaRDI QIDQ514015
Hong Lu, Shujuan Lü, Mingji Zhang
Publication date: 8 March 2017
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2017109
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (16)
A Fast Compact Difference Method for Two-Dimensional Nonlinear Space-Fractional Complex Ginzburg-Landau Equations ⋮ Well-posedness of space fractional Ginzburg-Landau equations involving the fractional Laplacian arising in a Bose-Einstein condensation and its kernel based approximation ⋮ Preconditioned fourth-order exponential integrator for two-dimensional nonlinear fractional Ginzburg-Landau equation ⋮ Exponential Runge-Kutta method for two-dimensional nonlinear fractional complex Ginzburg-Landau equations ⋮ Linearized ADI schemes for two-dimensional space-fractional nonlinear Ginzburg-Landau equation ⋮ The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application ⋮ Fast exponential time differencing/spectral-Galerkin method for the nonlinear fractional Ginzburg-Landau equation with fractional Laplacian in unbounded domain ⋮ A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg-Landau equations ⋮ Error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex fractional Ginzburg-Landau equations ⋮ Random attractors for non-autonomous fractional stochastic parabolic equations on unbounded domains ⋮ Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg–Landau equations with multiplicative noise ⋮ A linearized Crank–Nicolson Galerkin FEMs for the nonlinear fractional Ginzburg–Landau equation ⋮ Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation ⋮ High-dimensional nonlinear Ginzburg-Landau equation with fractional Laplacian: discretization and simulations ⋮ Stochastic dynamics of non-autonomous fractional Ginzburg-Landau equations on \(\mathbb{R}^3 \) ⋮ Dynamics of non-autonomous fractional Ginzburg-Landau equations driven by colored noise
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