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A Nyström method for Fredholm integral equations on the real line. (English) Zbl 1219.65163

Summary: The authors introduce a new procedure for the numerical treatment of Fredholm equations of the second kind on the real axis, based on a Nyström method. The convergence of the method is proved and a priori estimates of the error are given. The case of kernels containing a Hilbert transform is also considered.

MSC:

65R20 Numerical methods for integral equations
45B05 Fredholm integral equations
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)
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References:

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