Accession Number : AD0708144

Title :   ERROR BOUNDS FOR COMPOUND QUADRATURE OF WEAKLY SINGULAR INTEGRALS,

Corporate Author : BROWN UNIV PROVIDENCE R I

Personal Author(s) : Miller,Richard K. ; Feldstein,Alan

Report Date : JUN 1970

Pagination or Media Count : 33

Abstract : The purpose of the paper is to develop and analyze error estimates of order type for the numerical quadrature of integrands f which are integrable but may have singularities at the two-ends of the interval of integration. The case where some low order derivative of f has singularities is also discussed. The analysis is carried out for a class of integrands f called weakly singular functions. Convolution integrals are also discussed. (Author)

Descriptors :   (*NUMERICAL INTEGRATION, *NUMERICAL ANALYSIS), INTEGRAL EQUATIONS, INTEGRAL TRANSFORMS, APPROXIMATION(MATHEMATICS), INEQUALITIES, CONVERGENCE, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE