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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Product integration for Volterra integral equations of the second kind with weakly singular kernels
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by Annamaria Palamara Orsi PDF
Math. Comp. 65 (1996), 1201-1212 Request permission

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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Additional Information
  • Annamaria Palamara Orsi
  • Affiliation: Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24, I-10129 Torino, Italy
  • Email: orsi@polito.it
  • 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 1996 American Mathematical Society
  • Journal: Math. Comp. 65 (1996), 1201-1212
  • MSC (1991): Primary 65R20, 65D32
  • DOI: https://doi.org/10.1090/S0025-5718-96-00736-3
  • MathSciNet review: 1344619