Convergence of Product Integration Rules for Functions With Interior and Endpoint Singularities Over Bounded and Unbounded Intervals
- 1 January 1986
- journal article
- research article
- Published by JSTOR in Mathematics of Computation
- Vol. 46 (173) , 229-245
- https://doi.org/10.2307/2008228
Abstract
The convergence of product integration rules, based on Gaussian quadrature points, is investigated for functions with interior and endpoint singularities over bounded and unbounded intervals. The investigation is based on a new convergence result for Lagrangian interpolation and Gaussian quadrature of singular integrands.Keywords
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