Strong Rates of Convergence of a Splitting Scheme for Schrödinger Equations with Nonlocal Interaction Cubic Nonlinearity and White Noise Dispersion

DOI10.1137/20M1378168zbMath1485.65011arXiv2011.01115MaRDI QIDQ5075234

No author found.

Publication date: 10 May 2022

Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.01115

zbMATH Keywords

stochastic Schrödinger equationsstrong convergence rateswhite noise dispersionsplitting integratorsnonlocal interaction cubic nonlinearity

Mathematics Subject Classification ID

Computational methods for problems pertaining to probability theory (60-08) 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) Numerical solutions to abstract evolution equations (65J08)

Related Items (2)

Splitting schemes for FitzHugh-Nagumo stochastic partial differential equations ⋮ Analysis of a splitting scheme for a class of nonlinear stochastic Schrödinger equations

Cites Work

• Unnamed Item
• Unnamed Item
• 1D quintic nonlinear Schrödinger equation with white noise dispersion
• On a splitting scheme for the nonlinear Schrödinger equation in a random medium
• The nonlinear Schrödinger equation with white noise dispersion
• Stochastic symplectic and multi-symplectic methods for nonlinear Schrödinger equation with white noise dispersion
• Exponential integrators for nonlinear Schrödinger equations with white noise dispersion
• Local error of a splitting scheme for a nonlinear Schrödinger-type equation with random dispersion
• Numerical analysis of the nonlinear Schrödinger equation with white noise dispersion
• A Concise Introduction to Geometric Numerical Integration
• Analysis of a splitting scheme for a class of random nonlinear partial differential equations
• On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations
• Geometric Numerical Integration
• Splitting methods
• On Asymptotic Preserving Schemes for a Class of Stochastic Differential Equations in Averaging and Diffusion Approximation Regimes
• Randomized exponential integrators for modulated nonlinear Schrödinger equations

This page was built for publication: Strong Rates of Convergence of a Splitting Scheme for Schrödinger Equations with Nonlocal Interaction Cubic Nonlinearity and White Noise Dispersion