An advanced version of the local-global step size control for Runge-Kutta methods applied to index 1 differential-algebraic systems

Lecture Notes in Computer Science, 3037 (2004), 565-569
http://dx.doi.org/10.1007/978-3-540-24687-9_73

In recent paper [5] 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.