@Article{AAMM-8-992,
author = {Zhang , Zhengru and Ma , Yuanzi},
title = {On a Large Time-Stepping Method for the Swift-Hohenberg Equation},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {8},
number = {6},
pages = {992--1003},
abstract = {<p style="text-align: justify;">The main purpose of this work is to contrast and analyze a large time-stepping
numerical method for the Swift-Hohenberg (SH) equation. This model requires
very large time simulation to reach steady state, so developing a large time step
algorithm becomes necessary to improve the computational efficiency. In this paper,
a semi-implicit Euler scheme in time is adopted. An extra artificial term is added to
the discretized system in order to preserve the energy stability unconditionally. The
stability property is proved rigorously based on an energy approach. Numerical experiments
are used to demonstrate the effectiveness of the large time-stepping approaches
by comparing with the classical scheme.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.m48},
url = {http://global-sci.org/intro/article_detail/aamm/12127.html}
}