Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrödinger equation

DOI10.1093/imanum/drw023zbMath1433.65208arXiv1410.5644OpenAlexW2963199059MaRDI QIDQ4683778

Publication date: 26 September 2018

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

Full work available at URL: https://arxiv.org/abs/1410.5644

zbMATH Keywords

charge conservation law mean-square convergence symplectic method local discontinuous Galerkin method \(\mathbb{L}^2\)-stability stochastic linear Schrödinger equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Time-dependent Schrödinger equations and Dirac equations (35Q41) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

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