A NYSTROM METHOD FOR FREDHOLM INTEGRAL EQUATIONS ON THE REAL LINE

作者：Mastroianni G^*; Notarangelo I

来源：Journal of Integral Equations and Applications, 2011, 23(2): 253-288.

DOI：10.1216/JIE-2011-23-2-253

• Fredholm integral equation
• Nystrom method
• Hilbert transform

The authors introduce a new procedure for the numerical treatment of Fredholm equations of the second kind on the real axis, based on a Nystrom 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.

• 出版日期2011