http://www.cnr.it/ontology/cnr/individuo/prodotto/ID153842
A stable numerical method for Volterra integral equations with discontinuous kernel (Rapporti progetti di ricerca)
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- Label
- A stable numerical method for Volterra integral equations with discontinuous kernel (Rapporti progetti di ricerca) (literal)
- Anno
- 2008-01-01T00:00:00+01:00 (literal)
- Alternative label
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- E. Messina; E. Russo; A. Vecchio (literal)
- Note
- Mathematical Reviews on the web (MathSciNet) (literal)
- Scopus (literal)
- ISI Web of Science (WOS) (literal)
- Google Scholar (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#supporto
- Memorie interne (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
- E. Messina;E. Russo Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli \"Federico II\", Via Cintia, I-80126 Napoli, Italy
A. Vecchio, Ist. per Appl. del Calcolo \"M.Picone\", Sede di Napoli, CNR, Via P. Castellino, 111-80131 Napoli, Italy (literal)
- Titolo
- A stable numerical method for Volterra integral equations with discontinuous kernel (literal)
- Abstract
- Numericalmethods for Volterra integral equations with discontinuous kernel need to be tuned to their peculiar form. Here we propose a version of the trapezoidal direct quadrature method adapted to such a type of equations. In order to delineate its stability properties, we first investigate about the behavior of the solution of a suitable (basic) test equation and then we find out under which hypotheses the trapezoidal direct quadrature method provides numerical solutions which inherit the properties of the continuous problem. (literal)
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