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

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)

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:

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)

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)

Rational minimax approximation via adaptive barycentric representations

Rational minimax approximation via adaptive barycentric representations
Filip, S; Nakatsukasa, Y; Trefethen, L; Beckermann, B
SIAM Journal on Scientific Computing issue 4 volume 40 page A2427–A2455- (7 August 2018)

Series solution of Laplace problems

Series solution of Laplace problems
Trefethen, L
ANZIAM Journal (6 July 2018) Full text available

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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