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ERROR BOUNDS FOR COMPOUND QUADRATURE OF WEAKLY SINGULAR INTEGRALS

Authors :
BROWN UNIV PROVIDENCE R I
Miller,Richard K.
Feldstein,Alan
BROWN UNIV PROVIDENCE R I
Miller,Richard K.
Feldstein,Alan
Source :
DTIC AND NTIS
Publication Year :
1970

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)<br />Prepared in cooperation with Arizona State Univ., Tempe and California Univ., Berkeley. Lawrence Radiation Lab.

Details

Database :
OAIster
Journal :
DTIC AND NTIS
Notes :
text/html, English
Publication Type :
Electronic Resource
Accession number :
edsoai.ocn831499304
Document Type :
Electronic Resource