Reducibility and contractivity of Runge-Kutta methods revisited (Q2433884)

The paper is concerned with the relationship between different concepts of reducibility. A shifted Runge-Kutta scheme and a transplanted differential equation is introduced in such a way that the input and output remain unchanged under the transformations. This provides a technique for proving stability and contractivity results. The origins of the paper are interesting. It first appeared in 1987 as a technical report. In the journal version, the original report text is accompanied by a new appendix which gives some further details and remarks on improvements to the theory. Some interesting historical background of the paper is also presented.