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

Article type: Research Article

Authors: Psihoyios, G.

Affiliations: Laboratory of Computational Science, Department of Computer Science and Technology, University of Peloponnesos, Tripolis, Greece. E-mail: [email protected]

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.

Keywords: Explicit advanced step-point (EAS) methods, EAS3 methods, multistep methods, predictor – corrector methods, absolute stability, adams methods, non-stiff initial value problems

DOI: 10.3233/JCM-2012-0399

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 12, no. 3, pp. 201-210, 2012