Technical Report CS0384

TR#:CS0384
Class:CS
Title: Numerical Quadrature Methods for Integrals of Singular Periodic Functions and their Application to Singular and Weakly Singular Integral Equations
Authors: A. Sidi and M. Israeli
PDFCS0384.pdf
Abstract: High accuracy humerical quadrature methods for integrals of singular periodic functions are proposed. These methods are Based on the appropriate Euler-Maclaurin expansions of trapezodial rule approximations and their extrapolatipns. They are used to obtain accurate quadrature methods for the solution of singular and weakly singular Fredholm integral equations. The use of the quadrature methods is demqnstrated with numerical examples. Thtoughout the development the periodic nature of the problems plays a crucial role.
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