Numerical treatment of a class of systems of Fredholm integral equations on the real line
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- by M. C. De Bonis and G. Mastroianni;
- Math. Comp. 83 (2014), 771-788
- DOI: https://doi.org/10.1090/S0025-5718-2013-02727-5
- Published electronically: June 7, 2013
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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.References
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Bibliographic 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
- 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”
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 83 (2014), 771-788
- MSC (2010): Primary 65R20, 45F05, 41A05
- DOI: https://doi.org/10.1090/S0025-5718-2013-02727-5
- MathSciNet review: 3143691