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IMA Journal of Numerical Analysis Advance Access originally published online on June 20, 2008
IMA Journal of Numerical Analysis 2009 29(3):632-650; doi:10.1093/imanum/drn035
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© The author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Nyström method for systems of integral equations on the real semiaxis

M. C. De Bonis and G. Mastroianni{dagger}

Dipartimento di Matematica, Università della Basilicata, Viale dell'Ateneo Lucano, 10, Contrada Macchia Romana, 85100 Potenza, Italy

{dagger} Email: giuseppe.mastroianni{at}unibas.it

Received on 19 November 2007. Revised on 17 March 2008.


  Abstract

In this paper, the authors introduce a Nyström method for solving systems of Fredholm integral equations on the real semiaxis. They prove that the method is stable and convergent. Moreover, they show some numerical tests that confirm the error estimates. Finally, they discuss a specific application to an inverse scattering problem for the Schrödinger equation.

Key Words: Nyström method; truncated Gaussian quadrature rule; Lagrange interpolation; Marchenko system


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