Parallel in time algorithms with reduction methods for solving chemical kinetics

Adel Blouza (1) , Laurent Boudin (2, 3) , Sidi-Mahmoud Kaber (2)

1 LMRS - Laboratoire de Mathématiques Raphaël Salem
2 LJLL - Laboratoire Jacques-Louis Lions
3 REO - Numerical simulation of biological flows

We design suitable parallel in time algorithms coupled with reduction methods for the stiff differential systems integration arising in chemical kinetics. We consider linear as well as nonlinear systems. Numerical efficiency of our approach is illustrated by a realistic ozone production model.

Domaines: Analyse numérique [math.NA]

Adel Blouza, Laurent Boudin, Sidi-Mahmoud Kaber. Parallel in time algorithms with reduction methods for solving chemical kinetics. Communications in Applied Mathematics and Computational Science, 2010, 5 (2), pp.241-263. ⟨10.2140/camcos.2010.5.241⟩. ⟨inria-00541025⟩