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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Masterclass: singular integrals and orthogonal polynomials

## Masterclass: singular integrals and orthogonal polynomialsAdd to your list(s) Download to your calendar using vCal - Sheehan Olver (Imperial College London); Thomas Trogdon (University of Washington)
- Wednesday 11 December 2019, 09:00-10:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. CATW03 - Computational complex analysis Orthogonal polynomials are fundamental tools in numerical methods, including for numerical methods for singular integral equations. A known result is that Cauchy transforms of weighted orthogonal polynomials satisfy the same three-term recurrences as the orthogonal polynomials themselves for n > 0. This basic fact leads to extremely effective schemes of calculating singular integrals that converge spectrally fast (faster than any algebraic power), uniformly in the complex plane. Closed formulae for Cauchy transforms on more complicated geometries are derivable using the Plemelj lemma. These techniques extend to other singular integrals such as those with logarithmic kernels. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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