@Article{JCM-25-573,
author = {Yu-Jiang Wu and Ai-Li Yang},
title = {Incremental Unknowns for the Heat Equation with Time-Dependent Coefficients: Semi-Implicit $\theta$-Schemes and Their Stability},
journal = {Journal of Computational Mathematics},
year = {2007},
volume = {25},
number = {5},
pages = {573--582},
abstract = {<p style="text-align: justify;">Based on the finite difference discretization of partial differential equations, we propose a kind of semi-implicit $\theta$-schemes of incremental unknowns type for the heat equation with time-dependent coefficients. The stability of the new schemes is carefully studied. Some new types of conditions give better stability when $\theta$ is closed to $1/2$ even if we have variable coefficients.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8714.html}
}