Error Bounds for Compound Quadrature of Weakly Singular Integrals
- 1 July 1971
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 25 (115) , 505-520
- https://doi.org/10.2307/2005211
Abstract
This paper studies the convergence of numerical quadratures of singular integrands. The singularities are ignored in the sense that whenever a singularity occurs the integrand is redefined to be zero. Several convergence theorems are proved under the assumption that the integrand can be dominated near each singularity by a monotone, integrable function.Keywords
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