@Article{AAMM-17-295,
author = {Zhan , Weijun and Guo , Qian},
title = {A Truncated-Type Explicit Numerical Method for the Stochastic Allen-Cahn Equation},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2024},
volume = {17},
number = {1},
pages = {295--314},
abstract = {<p style="text-align: justify;">The stochastic Allen-Cahn equations, as a typical example of nonlinear
stochastic partial differential equations, play an important role in phase theory. In
this paper, we investigate the rate of convergence in the $p{\rm th}$ mean for a truncated-type
explicit Euler time-stepping method applied to the stochastic Allen-Cahn equations as
well as using the spectral Galerkin approximation in spatial discretization. Finally, a
numerical example is given to confirm the strong convergence order.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2022-0240},
url = {http://global-sci.org/intro/article_detail/aamm/23603.html}
}