This paper contains a convergence analysis for the method of Stabilizing Corrections, which is an internally consistent splitting scheme for initial-boundary value problems. To obtain more accuracy and a better treatment of explicit terms several extensions are regarded and analyzed. The relevance of the theoretical results is tested for convection-diffusion-reaction equations.

Finite difference methods (msc 65M06), Stability and convergence of numerical methods (msc 65M12), Method of lines (msc 65M20)
Modelling, Analysis and Simulation [MAS]
Computational Dynamics

Hundsdorfer, W. (1999). Accuracy and stability of splitting with stabilizing corrections. Modelling, Analysis and Simulation [MAS]. CWI.