@Article{EAJAM-12-4,
author = {Song, Mingzhan and Songhe, Song and Zhang, Wei and Xu, Qian},
title = {Stochastic Global Momentum-Preserving Schemes for Two-Dimensional Stochastic Partial Differential Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2022},
volume = {12},
number = {4},
pages = {912--927},
abstract = {<p style="text-align: justify;">In this paper, the global momentum conservation laws and the global momentum evolution laws are presented for the two-dimensional stochastic nonlinear Schrödinger equation with multiplicative noise and the two-dimensional stochastic Klein-Gordon
equation with additive noise, respectively. In order to preserve the global momenta or
their changing trends in numerical simulation, the schemes are constructed by using a
stochastic multi-symplectic formulation. It is shown that under periodic boundary conditions, the schemes have discrete global momentum conservation laws or the discrete
global momentum evolution laws. Numerical experiments confirm global momentum-preserving properties of the schemes and their mean square convergence in the time
direction.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.110122.040522},
url = {https://global-sci.com/article/82498/stochastic-global-momentum-preserving-schemes-for-two-dimensional-stochastic-partial-differential-equations}
}