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Stability of Direct Quadrature methods for systems of Volterra integral equations

Article type: Research Article

Authors: Vecchio, Antonia

Affiliations: Ist. per le Appl. del Calcolo “M. Picone” - Sez. Napoli - CNR, Via P. Castellino, 111 - 80131 Napoli - Italy

Abstract: Conditions assuring that the analytical and numerical solution of systems of second kind Volterra integral equations are bounded by the same constant are proved. The considered numerical methods are Direct Quadrature methods with no order restrictions.

Keywords: Stability, Direct Quadrature, Volterra integral system

Keywords: 65R20, 65Q05

DOI: 10.3233/JCM-2003-3205

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 3, no. 2, pp. 249-258, 2003

Received 5 September 2001
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Revision received 30 September 2002
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Published: 1 April 2003
Price: EUR 27.50
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