Approximation of Stochastic Nonlinear Equations of Schrödinger Type by the Splitting Method
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Publication:4916959
DOI10.1080/07362994.2013.759745zbMath1271.60073OpenAlexW2064470289MaRDI QIDQ4916959
Wilfried Grecksch, Hannelore Breckner
Publication date: 26 April 2013
Published in: Stochastic Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/07362994.2013.759745
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (5)
Splitting schemes for FitzHugh-Nagumo stochastic partial differential equations ⋮ Analysis of a splitting scheme for a class of nonlinear stochastic Schrödinger equations ⋮ Deep Splitting Method for Parabolic PDEs ⋮ A splitting/polynomial chaos expansion approach for stochastic evolution equations ⋮ Optimal control of a nonlinear stochastic Schrödinger equation
Cites Work
- Ergodicity for a weakly damped stochastic nonlinear Schrödinger equation
- Approximation of some stochastic differential equations by the splitting up method
- On the splitting-up method and stochastic partial differential equations
- A semi-discrete scheme for the stochastic nonlinear Schrödinger equation
- A stochastic nonlinear Schrödinger equation with multiplicative noise
- Basic properties of nonlinear stochastic Schrödinger equations driven by Brownian motions
- Efficient Simulation and Calibration of General HJM Models by Splitting Schemes
- Structure of a quantized vortex in boson systems
- Stochastic Nonlinear Equations of Schrödinger Type
- REGULARITY OF SOLUTIONS TO LINEAR STOCHASTIC SCHRÖDINGER EQUATIONS
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