Analysis of a Multirate Theta-Method for Stiff ODE's (Ordinary Differential Equations); Analysis rept

摘要

This paper contains a study of a simple multirate scheme, consisting of the theta-method with one level of temporal local refinement. Issues of interest are local accuracy, propagation of interpolation errors and stability. The theoretical results are illustrated by numerical experiments, including results for more levels of refinement with automatic partitioning.