论文信息 - Linear Multistep Methods for Volterra Integro-Differential Equations

Linear Multistep Methods for Volterra Integro-Differential Equations

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.

Peter Linz | P. Linz

[1] James T. Day. Note on the Numerical Solution of Integro-Differential Equations , 1967, Comput. J..

[2] H. Davis. Introduction to Nonlinear Differential and Integral Equations , 1964 .

[3] Journal of the Association for Computing Machinery , 1961, Nature.

[4] G. Dahlquist. Convergence and stability in the numerical integration of ordinary differential equations , 1956 .

[5] P. Henrici. Discrete Variable Methods in Ordinary Differential Equations , 1962 .