Mathematics of Computation

Product integration for volterra integral equations of the second kind with weakly singular kernels

Author(s): Annamaria Palamara Orsi.
Journal: Math. Comp. 65 (1996), 1201-1212.
MSC (1991): Primary 65R20, 65D32
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Abstract: We introduce a new numerical approach for solving Volterra integral equations of the second kind when the kernel contains a mild singularity. We give a convergence result. We also present numerical examples which show the performance and efficiency of our method.

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Annamaria Palamara Orsi
Affiliation: Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24, I-10129 Torino, Italy
Email: orsi@polito.it

DOI: 10.1090/S0025-5718-96-00736-3
PII: S 0025-5718(96)00736-3
Received by editor(s): December 30, 1991
Received by editor(s) in revised form: September 21, 1993 and November 29, 1994
Additional Notes: This work was sponsored by the ``Ministero dell'Università e della Ricerca Scientifica e Tecno-logica'' of Italy
Copyright of article: Copyright 1996, American Mathematical Society

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