TY - JOUR
T1 - Convergence rate for the method Of moments with linear closure relations
AU - Bourgault, Yves
AU - Broizat, Damien
AU - Jabin, Pierre Emmanuel
N1 - Publisher Copyright:
© American Institute of Mathematical Sciences.
PY - 2015
Y1 - 2015
N2 - We study linear closure relations for the moments' method applied to simple kinetic equations. The equations are linear collisional models (velocity jump processes) which are well suited to this type of approximation. In this simplied, 1 dimensional setting, we are able to prove stability estimates for the method (with a kinetic interpretation by a BGK model). Moreover we are also able to obtain convergence rates which automatically increase with the smoothness of the initial data.
AB - We study linear closure relations for the moments' method applied to simple kinetic equations. The equations are linear collisional models (velocity jump processes) which are well suited to this type of approximation. In this simplied, 1 dimensional setting, we are able to prove stability estimates for the method (with a kinetic interpretation by a BGK model). Moreover we are also able to obtain convergence rates which automatically increase with the smoothness of the initial data.
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U2 - 10.3934/krm.2015.8.1
DO - 10.3934/krm.2015.8.1
M3 - Article
AN - SCOPUS:84919769742
VL - 8
SP - 1
EP - 27
JO - Kinetic and Related Models
JF - Kinetic and Related Models
SN - 1937-5093
IS - 1
ER -