Numerical study of two‐dimensional stochastic NLS equations

DOI10.1002/num.20064zbMath1077.65006OpenAlexW2038899589MaRDI QIDQ5311883

Marc Barton-Smith, Arnaud Debussche, Laurent Di Menza

Publication date: 29 August 2005

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

Full work available at URL: https://doi.org/10.1002/num.20064

zbMATH Keywords

numerical examplesstochastic partial differential equationsfinite difference schemesnonlinear Schrödinger equationsmultiplicative and additive noiserefinement procedure

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (11)

Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations ⋮ Analysis of a splitting scheme for a class of nonlinear stochastic Schrödinger equations ⋮ The numerical approximation of stochastic partial differential equations ⋮ Classical limit for a system of non-linear random Schrödinger equations ⋮ A note on stochastic Schrödinger equations with fractional multiplicative noise ⋮ Stabilizing blow up solutions to nonlinear Schrödinger equations ⋮ Operator differential-algebraic equations with noise arising in fluid dynamics ⋮ Small noise asymptotic of the timing jitter in soliton transmission ⋮ A remark on the mean-field dynamics of many-body bosonic systems with random interactions and in a random potential ⋮ Uniform large deviations for the nonlinear Schrödinger equation with multiplicative noise ⋮ Numerical analysis of the nonlinear Schrödinger equation with white noise dispersion

Cites Work

• The nonlinear Schrödinger equation. Self-focusing and wave collapse

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