Pérez-González, Humberto D.

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    A solution method for integral equations of the first kind in two and three dimensions
    (2005) Pérez-González, Humberto D.; Steinberg, Lev; College of Arts and Sciences - Sciences; Rózga, Krzysztof; Gooransarab, Haedeh; Department of Mathematics; Artiles, Noel
    The main objectives of this work are to describe the theoretical use of the regularization method to solve integral equations of the first kind and to develop a solution method for integral equations of the first kind in two and three dimensions. To solve such equations, the kernels are represented by two-dimensional matrices and singular value decomposition is used to get the solutions. The regularization parameter is computed by using the L-curve method and the Discrepancy Principle.