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Numerical treatment of a class of systems of Fredholm integral equations on the real line


Authors: M. C. De Bonis and G. Mastroianni
Journal: Math. Comp. 83 (2014), 771-788
MSC (2010): Primary 65R20, 45F05, 41A05
DOI: https://doi.org/10.1090/S0025-5718-2013-02727-5
Published electronically: June 7, 2013
MathSciNet review: 3143691
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Abstract: In this paper the authors propose a Nyström method based on a ``truncated'' Gaussian rule to solve systems of Fredholm integral equations on the real line. They prove that it is stable and convergent and that the matrices of the solved linear systems are well conditioned. Moreover, they give error estimates in weighted uniform norm and show some numerical tests.


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Additional Information

M. C. De Bonis
Affiliation: Department of Mathematics, Computer Science and Economics, University of Basilicata, Via dell’Ateneo Lucano n. 10, 85100 Potenza, Italy
Email: mariacarmela.debonis@unibas.it

G. Mastroianni
Affiliation: Department of Mathematics, Computer Science and Economics, University of Basilicata, Via dell’Ateneo Lucano n. 10, 85100 Potenza, Italy
Email: mastroianni.csafta@unibas.it

DOI: https://doi.org/10.1090/S0025-5718-2013-02727-5
Keywords: Fredholm integral equations, Nystr\"om method, truncated Gaussian rule
Received by editor(s): January 31, 2011
Received by editor(s) in revised form: March 14, 2012, and June 19, 2012
Published electronically: June 7, 2013
Additional Notes: The author’s research was supported by the University of Basilicata (local funds) and by PRIN 2008 “Equazioni integrali con struttura e sistemi lineari”
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.