In this paper the authors propose a Nystrom 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.
Numerical Treatment of a class of systems of Fredholm integral equations on the real line
DE BONIS, Maria Carmela;MASTROIANNI, Giuseppe Maria
2014-01-01
Abstract
In this paper the authors propose a Nystrom 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.File in questo prodotto:
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