Superconvergent Nyström and degenerate kernel methods for integral equations of the second kind
Superconvergent Nyström and degenerate kernel methods for integral equations of the second kind
We propose, in this paper, new methods for approximating the solution of a second kind integral equation with a smooth kernel or kernel having a discontinuity along the diagonal.By using an interpolatory projection at Gaussian points onto the space of (discontinuous) piecewise polynomials of degree ≤ r -1, we prove …