A Method for the Calculation of Abscissas and Weight Factors Using Gaussian Integration for Integrands with a Logarithmic Singularity
Final rept. Jun-Sep 1987
NAVAL SURFACE WARFARE CENTER SILVER SPRING MD
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A method for the calculation of abscissas and weight factors using Gaussian integration for integrands with a logarithmic singularity is presented. The method shows good convergent properties and allows for the accurate estimation of the error. A program is supplied for the generation of orthogonal polynomials with weight Logx to order n, and numerical tables for the Gaussian integration method are provided. Keywords Abscissas, Gaussian integration, Orthogonal polynomials.
- Theoretical Mathematics