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Stability analysis of numerical methods for systems of functional-differential and functional equations

โœ Scribed by Chengming Huang; Qianshun Chang

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
648 KB
Volume
44
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

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 linear multistep methods, one-leg methods, and Runge-Kutta methods is considered. The emphasis is on the linear stability of numerical methods. It is proved that A-stable methods can inherit the asymptotic stability of underlying linear systems. Some general results of stability on explicit and implicit methods are also given.

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