Quadrature Formulas for Singular Integrals with Hilbert Kernel

Quadrature Formulas for Singular Integrals with Hilbert Kernel

Year:    1988

Journal of Computational Mathematics, Vol. 6 (1988), Iss. 3 : pp. 205–225

Abstract

In this paper, we first establish the quadrature formulae of proper integrals with weight by trigonometric interpolation. Then we use the method of separation of singularity to derive the quadrature formulae of corresponding singular integrals with Hilbert Kernel. The trigonometric precision, the estimate of the remainder and the convergence of each quadrature formula derived here are also established.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1988-JCM-9511

Journal of Computational Mathematics, Vol. 6 (1988), Iss. 3 : pp. 205–225

Published online:    1988-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords: