ESIRK methods and variable stepsize
Singly implicit Runge-Kutta methods (SIRK) have been introduced in order to reduce the implementation costs. Many of them, however, have the disadvantage that certain internal stages approximate the solution outside the integration interval. The idea of effective order permits to overcome this difficulty, but leads to a less straightforward implementation with variable stepsizes. This article discusses step changing strategies, and analyzes local truncation errors and stability properties of the new procedures.
scientific article; zbMATH DE number 1311278