@Article{EAJAM-15-615,
author = {Wang , TingchunWang , Tingfeng and Zhao , Xiaofei},
title = {Stable and Conservative Finite Difference Time-Domain Methods for Rotating Nonlinear Klein-Gordon Equation},
journal = {East Asian Journal on Applied Mathematics},
year = {2025},
volume = {15},
number = {3},
pages = {615--649},
abstract = {<p style="text-align: justify;">We consider numerical discretizations for nonlinear Klein-Gordon/wave equations in a rotating frame. Due to the strong centrifugal forces in the model, non-proper
spatial discretizations of the rotating terms (under finite difference or finite element)
would lead to numerical instability that cannot be overcome by standard time averages.
We identify a class of boundary-stable type finite difference discretizations. Based on
it, we propose several stable and accurate finite difference time-domain schemes with
discrete conservation laws. Extensive numerical experiments and simulations are done
to understand the significance of the model and the proposed schemes.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.2024-051.010824},
url = {http://global-sci.org/intro/article_detail/eajam/24158.html}
}