Linear Multistep Methods for Volterra Integro-Differential Equations
- 1 April 1969
- journal article
- Published by Association for Computing Machinery (ACM) in Journal of the ACM
- Vol. 16 (2), 295-301
- https://doi.org/10.1145/321510.321521
Abstract
The Dahlquist stability analysis for ordinary differential equations is extended to the case of Volterra integro-differential equations. Thus the standard multistep methods can be generalized to furnish algorithms for solving integro-differential equations. Special starting procedures are discussed, and some numerical examples are presented.Keywords
This publication has 1 reference indexed in Scilit:
- Convergence and stability in the numerical integration of ordinary differential equationsMATHEMATICA SCANDINAVICA, 1956