The final aim of the book is to construct effective discretization
methods to solve multidimensional weakly singular integral
equations of the second kind on a region of Rn e.g. equations
arising in the radiation transfer theory. To this end, the
smoothness of the solution is examined proposing sharp estimates of
the growth of the derivatives of the solution near the boundary G.
The superconvergence effect of collocation methods at the
collocation points is established. This is a book for graduate
students and researchers in the fields of analysis, integral
equations, mathematical physics and numerical methods. No special
knowledge beyond standard undergraduate courses is assumed.
General
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