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.

General linear methods for Volterra integral equations

IZZO, GIUSEPPE;MESSINA, ELEONORA;
2010

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/360759
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