Preprint series: 04-25 , Reports on Numerical Mathematics

MSC:

65L05 Initial value problems

Abstract: We consider the Nordsieck representation of well-known linearly-implicit two-step methods
in order to facilitate stepsize changes.
They are treated as implicit methods with one Newton step with a special predictor. A new predictor
with better accuracy is discussed. Methods with 4--7 stages are tested and compared with RODAS.
The numerical results show the potential of the Nordsieck implementation of the methods.

Keywords: Linearly-implicit two-step methods peer-method general linear methods Nordsieck representation

Upload: 2004-09-01