Linear multistep methods for the numerical solution of volterra functional differential equations†
- 1 January 1973
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 3 (2) , 169-185
- https://doi.org/10.1080/00036817308839063
Abstract
In this paper the Dahlquist Henrici characterization of convergent methods for ordinary differential equations is extended to Volterra functional differential equations. This result is then used to show that every convergent linear multistep method for ordinary differential equations can be extended to a convergent method for Volterra functional differential equations.Keywords
This publication has 3 references indexed in Scilit:
- One-Step Methods for the Numerical Solution of Volterra Functional Differential EquationsSIAM Journal on Numerical Analysis, 1971
- Linear Multistep Methods for Volterra Integro-Differential EquationsJournal of the ACM, 1969
- Existence and stability of solutions of a delay-differential systemArchive for Rational Mechanics and Analysis, 1962