@Article{CiCP-8-445,
author = {Roberto Ferretti},
title = {A Technique for High-Order Treatment of Diffusion Terms in Semi-Lagrangian Schemes},
journal = {Communications in Computational Physics},
year = {2010},
volume = {8},
number = {2},
pages = {445--470},
abstract = {<p style="text-align: justify;">We consider in this paper a high-order, semi-Lagrangian technique to treat
possibly degenerate advection-diffusion equations, which has been proposed in similar
forms by various authors. The scheme is based on a stochastic representation
formula for the solution, which allows to avoid the splitting between advective and
diffusive part of the evolution operator. A general theoretical analysis is carried out in
the paper, with a special emphasis on the possibility of using large Courant numbers,
and numerical tests in one and two space dimensions are presented.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.070709.011209a},
url = {http://global-sci.org/intro/article_detail/cicp/7580.html}
}