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IMA Journal of Numerical Analysis 1997 17(4):621-642; doi:10.1093/imanum/17.4.621
© 1997 by Institute of Mathematics and its Applications
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Nyström interpolants based on zeros of Laguerre polynomials for some Weiner-Hopf equations

G. MASTROIANNI and G. MONEGATO

Dipartimento di Matematica, Università della Basilicata 85100 Potenza, Italy
Dipartimento di Matematica, Politecnico di Torino 10129 Torino, Italy

We consider a special class of Wiener-Hopf integral equations

Formula

with Formula, whose solutions u(x) decay exponentially at infinity.

First we rewrite the equation in the form

Formula

with Formula. Then we propose to solve this equation by using a Nyström interpolant based on a product rule of the type

Formula

where the nodes {xm1} are the zeros of the m-degree Laguerre polynomial. For these interpolants we prove stability in C[0, {infty}) and derive uniform convergence estimates.


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