论文信息 - Finite part integrals of local bivariate c1 quasi-interpolating splines

Finite part integrals of local bivariate c1 quasi-interpolating splines

A local bivariate C1 quasi-interpolating spline operator with a four directional mesh is considered and studied. Based on the above operator we present cubature formulas for 2-D singular integrals, defined in the Hadamard finite part sense. Convergence results are obtained for a wide class of functions. Moreover numerical tests are given.

Catterina Dagnino | P. Lamberti

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