A mass conserved splitting method for the nonlinear Schrödinger equation

DOI10.1186/1687-1847-2012-85zbMath1302.65193OpenAlexW2165602310WikidataQ59289326 ScholiaQ59289326MaRDI QIDQ2448053

Jiang Zhu, Dong-Ying Hua, Xiang-Gui Li

Publication date: 29 April 2014

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-85

zbMATH Keywords

Schrödinger equationfinite differenceconservationtime-splittingdipolar Bose-Einstein condensates

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (8)

Nonstandard finite difference variational integrators for nonlinear Schrödinger equation with variable coefficients ⋮ Coupled implicit Caputo fractional \(q\)-difference systems ⋮ A combined discontinuous Galerkin method for the dipolar Bose-Einstein condensation ⋮ Numerical methods for the derivative nonlinear Schrödinger equation ⋮ The finite element method for computing the ground states of the dipolar Bose-Einstein condensates ⋮ The numerical method for computing the ground state of the two-component dipolar Bose-Einstein condensate ⋮ A time-splitting and sine spectral method for dynamics of dipolar Bose-Einstein condensate ⋮ A Krylov semi-implicit discontinuous Galerkin method for the computation of ground and excited states in Bose-Einstein condensates

Cites Work

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• Strong instability of standing waves for a nonlocal Schrödinger equation
• A numerical method with particle conservation for the Maxwell-Dirac system
• An efficient and stable numerical method for the Maxwell--Dirac system
• Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates
• On the Gross–Pitaevskii equation for trapped dipolar quantum gases
• Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow

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