@Article{IJNAM-19-2-3,
author = {Yuchao, Wang and Wang, Lijin and Yanzhao, Cao},
title = {Structure-Preserving Numerical Methods for a Class of Stochastic Poisson Systems},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2022},
volume = {19},
number = {2-3},
pages = {194--219},
abstract = {<p style="text-align: justify;">We propose a type of numerical methods for a class of stochastic Poisson systems with
invariant energy. The proposed numerical methods preserve both the energy and the Casimir
functions of the systems. In addition, we provide a new approach of constructing stochastic
Poisson integrators which respect the Poisson structure and the Casimir functions of stochastic
Poisson systems based on coordinate transformations on the midpoint method. Numerical tests
are performed to demonstrate our theoretical analysis.</p>},
issn = {2617-8710},
doi = {https://doi.org/2022-IJNAM-20477},
url = {https://global-sci.com/article/82931/structure-preserving-numerical-methods-for-a-class-of-stochastic-poisson-systems}
}