On the convergence of product formulas for the evaluation of certain two-dimensional Cauchy principal value integrals-Reference-Cited by-同舟云学术

On the convergence of product formulas for the evaluation of certain two-dimensional Cauchy principal value integrals

Published:1989 Issue:185 Volume:52 Page:95-101
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Mastroianni Giuseppe

Abstract

The convergence of product rules of interpolatory type for the numerical evaluation of certain two-dimensional Cauchy principal value integrals is proved. Some estimates of the remainder are established for several classes of functions. Earlier results are generalized and improved.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1989-52-185/S0025-5718-1989-0971404-7/S0025-5718-1989-0971404-7.pdf

Reference6 articles.

1. On the convergence of an interpolatory product rule for evaluating Cauchy principal value integrals;Criscuolo, Giuliana;Math. Comp.,1987

2. Convergence of Gauss type product formulas for the evaluation of two-dimensional Cauchy principal value integrals;Criscuolo, Giuliana;BIT,1987

3. On the evaluation of certain two-dimensional singular integrals with Cauchy kernels;Dagnino, C.;Numer. Math.,1985

4. Convergence of product formulas for the numerical evaluation of certain two-dimensional Cauchy principal value integrals;Monegato, Giovanni;Numer. Math.,1984

5. Orthogonal polynomials;Nevai, Paul G.;Mem. Amer. Math. Soc.,1979

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1. The numerical evaluation of cauchy principal value integrals with non-standard weight functions;BIT Numerical Mathematics;1998-06