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A general formula for the stability functions of a group of implicit advanced step-point (IAS) methods
- Source :
-
Mathematical & Computer Modelling . Jul2007, Vol. 46 Issue 1/2, p214-224. 11p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper we introduce a new general formula that generates the stability functions of a group of methods, which the author has collectively named implicit advanced step-point (IAS) methods. This group of methods encompasses primarily the two implicit advanced step-point (TIAS) methods and the parallel implicit advanced step-point (PIAS) methods, but also the extended and modified extended BDF schemes (EBDF and MEBDF respectively). Furthermore we present, for the first time in a comprehensive way, the TIAS methods. To obtain the distinct stability functions for each of these implicit multistep methods is a quite time-consuming matter and thus an appropriate general formula can substantially facilitate stability analysis and further computational manipulation of these and analogous schemes. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 08957177
- Volume :
- 46
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- Mathematical & Computer Modelling
- Publication Type :
- Academic Journal
- Accession number :
- 24969988
- Full Text :
- https://doi.org/10.1016/j.mcm.2006.12.020