Prof. Nick Trefethen FRS

Status

Academic Faculty

Contact form

http://people.maths.ox.ac.uk/trefethen

Mrs. Helen Taylor, +44 1865 615316

ORCID iD

https://orcid.org/0000-0003-2504-1709

Research groups

Numerical Analysis

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Highlighted books

Approximation Theory and Approximation Practice Trefethen, L (2013)

Highlighted publications

Impossibility of fast stable approximation of analytic functions from equispaced samples

Platte, R Trefethen, L Kuijlaars, A SIAM Review volume 53 issue 2 308-318 (19 Sep 2011)

Robust rational interpolation and least-squares

Trefethen, L Gonnet, P Pachon, R Electronic Transactions on Numerical Analysis volume 38 146-167 (2011)

Computing a<sup>α</sup>, log(A), and related matrix functions by contour integrals

Hale, N Higham, N Trefethen, L SIAM Journal on Numerical Analysis volume 46 issue 5 2505-2523 (10 Nov 2008)

Is Gauss quadrature better than Clenshaw-Curtis?

Trefethen, L SIAM Review volume 50 issue 1 67-87 (01 Mar 2008)

Robust Pade approximation via SVD

Trefethen, L SIAM Review

Prizes, awards, and scholarships

Fellow of the Royal Society

Member of the National Academy of Engineering (USA)

SIAM President (2011-2012)

IMA Gold Medal (2010)

LMS Naylor Prize (2013)

Recent books

Exploring ODEs Trefethen, L Birkisson, A Driscoll, T (2018) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000469944200025&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e

Recent publications

Sigmoid functions and multiscale resolution of singularities

Huybrechs, D Trefethen, L (03 Mar 2023) http://arxiv.org/abs/2303.01967v1

Rectangular eigenvalue problems

Hashemi, B Nakatsukasa, Y Trefethen, L Advances in Computational Mathematics volume 48 issue 6 (16 Nov 2022)

Spectacularly large expansion coefficients in Müntz's theorem

Trefethen, L (08 Aug 2022) http://arxiv.org/abs/2208.04176v1

AAA interpolation of equispaced data

Huybrechs, D Trefethen, L (24 Jul 2022)

Reciprocal-log approximation and planar PDE solvers

Nakatsukasa, Y Trefethen, L SIAM Journal on Numerical Analysis volume 59 issue 6 2801-2822 (01 Nov 2021)