Asymptotic Expansions for Product Integration
- 1 April 1973
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 27 (122) , 295-306
- https://doi.org/10.2307/2005616
Abstract
A generalized Euler-Maclaurin sum formula is established for product integration based on piecewise Lagrangian interpolation. The integrands considered may have algebraic or logarithmic singularities. The results are used to obtain accurate convergence rates of numerical methods for Fredholm and Volterra integral equations with singular kernels.Keywords
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