Prof. Nick Trefethen FRS | Mathematical Institute

Prof. Nick Trefethen FRS

Status:

Academic Faculty

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Personal website:

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

(2013)

Recent Books:

Exploring ODEs.

ISBN-13: 978-1-61197-515-4 (2018)

Highlighted Publications:

Impossibility of fast stable approximation of analytic functions from equispaced samples

Impossibility of fast stable approximation of analytic functions from equispaced samples
Platte, R; Trefethen, L; Kuijlaars, A
SIAM Review issue 2 volume 53 page 308-318 (19 September 2011)

Robust rational interpolation and least-squares

Robust rational interpolation and least-squares
Trefethen, L; Gonnet, P; Pachon, R
Electronic Transactions on Numerical Analysis volume 38 page 146-167 (2011)

Computing a^α, log(A), and related matrix functions by contour integrals

Computing a^α, log(A), and related matrix functions by contour integrals
Hale, N; Higham, N; Trefethen, L
SIAM Journal on Numerical Analysis issue 5 volume 46 page 2505-2523 (10 November 2008)

Is Gauss quadrature better than Clenshaw-Curtis?

Is Gauss quadrature better than Clenshaw-Curtis?
Trefethen, L
SIAM Review issue 1 volume 50 page 67-87 (1 March 2008)

Robust Pade approximation via SVD

Robust Pade approximation via SVD
Trefethen, L
SIAM Review

Recent Publications:

An algorithm for real and complex rational minimax approximation

An algorithm for real and complex rational minimax approximation
Nakatsukasa, Y; Trefethen, L
SIAM Journal on Scientific Computing volume abs/1908.06001 (13 October 2020) Full text available

Eight perspectives on the exponentially ill-conditioned equation εy'' − xy' + y = 0

Eight perspectives on the exponentially ill-conditioned equation εy'' − xy' + y = 0
Trefethen, L
SIAM Review issue 2 volume 62 page 439-462 (7 May 2020)

Solving Laplace problems with corner singularities via rational functions

Solving Laplace problems with corner singularities via rational functions
Gopal, A; Trefethen, L
SIAM Journal on Numerical Analysis issue 5 volume 57 page 2074-2094 (5 September 2019)

Smooth random functions, random ODEs, and Gaussian processes

Smooth random functions, random ODEs, and Gaussian processes
Filip, S; Javeed, A; Trefethen, L
SIAM Review issue 1 volume 61 page 185-205 (7 February 2019)

Rational approximation of $x^n$

Rational approximation of $x^n$
Nakatsukasa, Y; Trefethen, L
Proceedings of the American Mathematical Society issue 12 volume 146 page 5219-5224 (4 September 2018)

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)

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