# General linear methods for Volterra integral equations

G. Izzo, Zdzislaw Jackiewicz, E. Messina, A. Vecchio

Research output: Contribution to journalArticle

14 Citations (Scopus)

### Abstract

We investigate the class of general linear methods of order p and stage order q=p for the numerical solution of Volterra integral equations of the second kind. Construction of highly stable methods based on the Schur criterion is described and examples of methods of order one and two which have good stability properties with respect to the basic test equation and the convolution one are given.

Original language English (US) 2768-2782 15 Journal of Computational and Applied Mathematics 234 9 https://doi.org/10.1016/j.cam.2010.01.023 Published - Sep 1 2010

### Fingerprint

General Linear Methods
Volterra Integral Equations
Convolution
Integral equations
Numerical Solution

### Keywords

• Convolution test equation
• General linear methods
• Linear stability analysis
• Order conditions
• Volterra integral equations

### ASJC Scopus subject areas

• Computational Mathematics
• Applied Mathematics

### Cite this

General linear methods for Volterra integral equations. / Izzo, G.; Jackiewicz, Zdzislaw; Messina, E.; Vecchio, A.

In: Journal of Computational and Applied Mathematics, Vol. 234, No. 9, 01.09.2010, p. 2768-2782.

Research output: Contribution to journalArticle

Izzo, G. ; Jackiewicz, Zdzislaw ; Messina, E. ; Vecchio, A. / General linear methods for Volterra integral equations. In: Journal of Computational and Applied Mathematics. 2010 ; Vol. 234, No. 9. pp. 2768-2782.
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