Overlapping operator splitting methods and applications in stiff differential equations
Jürgen Geiser, Christos D. Kravvaritis · 2008
Abstract. In this article we study the stability of an overlapping operatorsplitting methods based on iterative methods. We discuss the overlapping iterative Operator Splitting method in the context of decoupling the stiff and non-stiff operators. In the context of stabilisation the stiff operators, we present the overlapping ideas as extension to the standard iterative operator splitting method. The efficiency of considering the overlapping method instead of the standard method whole domain in the is discussed. We apply our theoretical results on model problems in stiff parabolic partial differential equations.