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

De Bonis, M.; Mastroianni, G.

doi:10.1090/S0025-5718-2013-02727-5

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 PDF

Math. Comp. 83 (2014), 771-788 Request permission

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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