A mass-preserving splitting scheme for the stochastic Schrodinger equation with multiplicative noise

DOI10.1093/imanum/drs051zbMath1283.65007OpenAlexW2161758172MaRDI QIDQ2856629

Jie Liu

Publication date: 30 October 2013

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drs051

zbMATH Keywords

strong convergencesplitting schemestochastic nonlinear Schrödinger equationmass preserving

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (8)

Stable numerical methods for a stochastic nonlinear Schrödinger equation with linear multiplicative noise ⋮ Stochastic symplectic and multi-symplectic methods for nonlinear Schrödinger equation with white noise dispersion ⋮ Splitting schemes for FitzHugh-Nagumo stochastic partial differential equations ⋮ Analysis of a splitting scheme for a class of nonlinear stochastic Schrödinger equations ⋮ Strong convergence rate of splitting schemes for stochastic nonlinear Schrödinger equations ⋮ Numerical integrators for continuous disordered nonlinear Schrödinger equation ⋮ A fast mass-conserving explicit splitting method for the stochastic space-fractional nonlinear Schrödinger equation with multiplicative noise ⋮ Analysis of time fractional and space nonlocal stochastic nonlinear Schrödinger equation driven by multiplicative white noise

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