An advanced version of the local-global step size control for Runge-Kutta methods applied to index 1 differential-algebraic systems
Kulikov, Gennady Yu
Lecture Notes in Computer Science, 3037 (2004), 565-569
In recent paper  a procedure was developed to control a step size for Runge-Kutta methods. Here, we present a new version of that step size selection to make it better in exceptional cases when the old version does not work appropriately.