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In this work, we present numerical methods for the solution of Fredholm integral equations of the second type, for smooth and piecewise smooth surfaces. We use a collocation method based on piecewise polynomial interpolation of the solution. We consider only collocation methods for which the collocation nodes are interior to each triangular face. In Chapter(More)
An Abstract Of a thesis submitted in partial fullllment o f t h e requirements for the Doctor of Philosophy degree in Mathematics in the ABSTRACT In this work, we present n umerical methods for the solution of Fredholm integral equations of the second type, for smooth and piecewise smooth surfaces. We use a collocation method based on piecewise polynomial(More)
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