Stability of General Linear Methods for Systems of Functional-Differential and Functional Equations

Stability of General Linear Methods for Systems of Functional-Differential and Functional Equations

Year:    2005

Journal of Computational Mathematics, Vol. 23 (2005), Iss. 1 : pp. 37–48

Abstract

This paper is concerned with the numerical solution of functional-differential and functional equations which include functional-differential equations of neutral type as special cases. The adaptation of general linear methods is considered. It is proved that A-stable general linear methods can inherit the asymptotic stability of underlying linear systems. Some general results of numerical stability are also given.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2005-JCM-8794

Journal of Computational Mathematics, Vol. 23 (2005), Iss. 1 : pp. 37–48

Published online:    2005-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Hybrid systems Functional-differential equations Functional equations General linear methods Numerical stability.