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Weighted Iterative Operator-Splitting Methods for stiff problems and applications

In this paper we describe advanced operator-splitting methods for more accurate and exact decoupling of stiff systems. We deal with 2 stiff operators and contribute for both stiff operators a new weighted iterative operator-splitting method, decribed in [3]. Based on the stabilisation theory for stiff systems, given in [?] and [9], we developed our weighting method. The idea behind is a combination of first order and higher order operator splitting methods. We discuss our methods in welknown test-problems for systems of ordinary-differential equations and compare with the exact solutions of the sytsems. Finally we present an application to a convection-reaction equation with stiff reaction-term. We end with a discuss for modifing our methods for multi-dimensional and multi-physical problems.