@Article{JCM-28-474,
author = {Adam M. Oberman},
title = {Convergence Rate for Difference Schemes for Polyhedral Nonlinear Parabolic Equations},
journal = {Journal of Computational Mathematics},
year = {2010},
volume = {28},
number = {4},
pages = {474--488},
abstract = {<p style="text-align: justify;">We build finite difference schemes for a class of fully nonlinear parabolic equations. The schemes are polyhedral and grid aligned. While this is a restrictive class of schemes, a wide class of equations are well approximated by equations from this class. For regular $(C^{2,\alpha})$ solutions of uniformly parabolic equations, we also establish of convergence rate of $\mathcal{O}(\alpha)$. A case study along with supporting numerical results is included.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1003-m0013},
url = {http://global-sci.org/intro/article_detail/jcm/8533.html}
}