Discontinuous Galerkin and multiscale variational schemes for a coupled damped nonlinear system of Schrödinger equations

DOI10.1002/num.21782zbMath1307.65129OpenAlexW2076626584MaRDI QIDQ2864597

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Publication date: 26 November 2013

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

Full work available at URL: https://doi.org/10.1002/num.21782

zbMATH Keywords

stabilityconvergencenumerical examplesdiscontinuous Galerkin methodcoupled nonlinear Schrödinger equationsstreamline diffusion methodmultiscale variational scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (8)

New local discontinuous Galerkin method for a fractional time diffusion wave equation ⋮ Multi-conformal-symplectic PDEs and discretizations ⋮ Stability analysis for some numerical schemes of partial differential equation with extra measurements ⋮ Almost structure-preserving analysis for weakly linear damping nonlinear Schrödinger equation with periodic perturbation ⋮ DMLPG method for numerical simulation of soliton collisions in multi-dimensional coupled damped nonlinear Schrödinger system which arises from Bose-Einstein condensates ⋮ Discontinuous Petrov-Galerkin and Bernstein-Legendre Polynomials Method for Solving Fractional Damped Heat- and Wave-like Equations ⋮ Approximating the nonlinear Schrödinger equation by a two level linearly implicit finite element method ⋮ Fast spectral collocation method for solving nonlinear time-delayed Burgers-type equations with positive power terms

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