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Higher dimensional numerical quadrature
This thesis contains a study of higher dimensional numerical quadrature, especially two dimensional Gregory quadrature. In Chapter I, we discuss the problem of approximation and integration, the reasons why numerical ...
Interpolation and quasi-interpolation using triangular splines
This thesis is a study of the applications of Regular Triangular Splines to the bivariate approximation problem. Our primary interest will concern the numerical approximation of functions in two variables, and implementation ...