STELLENBOSCH UNIVERSITY
APPLIED MATHEMATICS
Nick Hale

Prof Nick Hale

Associate Professor (Applied Mathematics), Stellenbosch University
ORCID iD iconorcid.org/0000-0002-2023-0044

Previously:

Senior Lecturer (Applied Mathematics), Stellenbosch University
Post-Doctoral Research Fellow, Stellenbosch University
Post-Doctoral Research Assistant, OCCAM
Non-Stipendiary Lecturer, St Hugh's College, Oxford
Tutor, Merton College, Oxford

My main research interests are in fast algorithms for computations with orthogonal polynomials, including the fast computation of Gauss quadrature nodes and weights, fast Chebyshev to Legendre transforms, fast algorithms for the convolution of polynomial series, and fast spectral methods. See my publications list for further details.

Much of my previous work was in adaptive spectral methods for numerical solutions of PDEs; combining complex analysis, barycentric interpolation, and conformal mapping. This topic was central to my Oxford DPhil thesis, which I continued during a PostDoc at the Oxford Centre for Collaborative and Applied Mathematics (OCCAM).

I am involved in the open-source Chebfun project, and was a lead developer of version 3 and was part-funded by The MathWorks as the director of the project for two years. Chebfun is a software system written in object-oriented MATLAB, which extends familiar powerful methods of numerical computation to continuous or piecewise-continuous functions. One of its key aims is to provide a link between symbolic and numeric computing. You can find out more at www.chebfun.org

I also have an interest in the application of conformal mapping to quadrature methods, and the computation of certain matrix functions by complex contour integrals. I completed my DPhil (PhD) at St Hugh's College, in 2009. A copy of my CV can be found here, and my contact details in the link above.