On solving systems of chemical kinetics equations by explicit methods

We present some versions of the methods for solving systems of differential equations of chemical kinetics that base on approximations of a quasisteady state and a partial equilibrium. These methods are explicit and guarantee the positivity and boundedness of solutions for each time step. In contrast to the existing methods, the methods we propose ensure mass conservation and the fulfillment of the stoichiometric relations, which makes it possible to significantly increase the time meshsize while preserving accuracy.