@Article{CiCP-17-1225,
author = {Michael Junk and Zhaoxia Yang},
title = {$L_2$ Convergence of the Lattice Boltzmann Method for One Dimensional Convection-Diffusion-Reaction Equations},
journal = {Communications in Computational Physics},
year = {2018},
volume = {17},
number = {5},
pages = {1225--1245},
abstract = {<p style="text-align: justify;">Combining asymptotic analysis and weighted $L_2$ stability estimates, the
convergence of lattice Boltzmann methods for the approximation of 1D convection-diffusion-reaction
equations is proved. Unlike previous approaches, the proof does
not require transformations to equivalent macroscopic equations.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.2014.m369},
url = {http://global-sci.org/intro/article_detail/cicp/11010.html}
}