The EAS3 multistep approach as part of explicit advanced step-point (EAS) methods

Abstract

This work introduces the third instalment in a series of papers, i.e. the EAS3 multistep approach. In this work we present, for the first time in a journal article, the EAS3 methods, which are part of the explicit advanced step-point (EAS) family of methods. The EAS formulae comprise three distinct schemes: EAS1, EAS2 and EAS3. In this paper we consider the EAS3 methods, which represent a substantial departure compared to EAS1 and EAS2. Here the EAS3 are studied and their superior regions of absolute stability are presented.