TY - JOUR
T1 - $L_2$ Convergence of the Lattice Boltzmann Method for One Dimensional Convection-Diffusion-Reaction Equations
JO - Communications in Computational Physics
VL - 5
SP - 1225
EP - 1245
PY - 2018
DA - 2018/04
SN - 17
DO - http://doi.org/10.4208/cicp.2014.m369
UR - https://global-sci.org/intro/article_detail/cicp/11010.html
KW - 
AB - <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>