The subject of research is the numerical integration of atmospheric ch
emical kinetics systems. The application lies in the study of air poll
ution, modelled by atmospheric chemistry-transport problems. This appl
ication puts high demands on the efficiency of the stiff solver. Three
explicit methods are discussed and compared for a selected chemical k
inetics system which is representative for the state of the art. The f
irst and the second method are of the explicit QSSA type and the third
is based on the two-step backward differentiation formula, combined w
ith Gauss-Seidel iteration to approximately solve the implicitly defin
ed solution. This also renders the method explicit. In the comparison,
the two-step method comes out best.