The use of spline-on-spline for the approximation of Cauchy principal value integrals

摘要

In this paper the spline-on-spline interpolatory polynomials are used to approximate Cauchy principal value integrals and their derivatives. This technique yields better results than using the derivatives of the traditional single spline functions, which has been considered by Orsi. Improved order of convergence for these approximations are discussed.