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Lloyd N. Trefethen

Nick Trefethen
Born Lloyd Nicholas Trefethen
(1955-08-30) 30 August 1955 (age 61)
Fields Numerical analysis
Institutions
Alma mater
Thesis Wave Propagation and Stability for Finite Difference Schemes (1982)
Doctoral advisor Joseph E. Oliger
Doctoral students
  • Jeffrey Baggett
  • Richard Baltensperger
  • Lehel Banjai
  • Timo Betcke
  • Asgeir Birkisson
  • Tobin Driscoll
  • Alan Edelman
  • Nick Hale
  • Louis Howell
  • Walter Mascarenhas
  • Hadrien Montanelli
  • Noel Nachtigal
  • Ricardo Pachon
  • Satish Reddy
  • Mark Richardson
  • Thomas Schmelzer
  • Kim-Chuan Toh
  • Alex Townsend
  • Divakar Viswanath
  • Thomas Wright
Known for Embree–Trefethen constant
Notable awards
Spouse
  • Anne Elizabeth Trefethen (née Daman) (m. 1988–2008)
  • Kate McLoughlin (m. 2011)
Children one son, one daughter
Website
people.maths.ox.ac.uk/trefethen

(Lloyd) Nicholas Trefethen, FRS (born 30 August 1955) is professor of numerical analysis and head of the Numerical Analysis Group at the Mathematical Institute, University of Oxford.

Trefethen obtained his bachelor's degree from Harvard University in 1977 and his master's from Stanford University in 1980. His PhD was on Wave Propagation and Stability for Finite Difference Schemes supervised by Joseph E. Oliger at Stanford University.

Following his PhD, Trefethen went on to work at the Courant Institute of Mathematical Sciences in New York, Massachusetts Institute of Technology, and Cornell University, before being appointed to a chair at the University of Oxford and a Fellowship of Balliol College, Oxford.

As of 2009, he has published around 125 journal papers spanning a wide range of areas within numerical analysis and applied mathematics, including non-normal eigenvalue problems and applications, spectral methods for differential equations, numerical linear algebra, fluid mechanics, computational complex analysis, and approximation theory. He is perhaps best known for his work on pseudospectra of non-normal matrices and operators. This work covers theoretical aspects as well as numerical algorithms, and applications including fluid mechanics, numerical solution of partial differential equations, numerical linear algebra, shuffling of cards, random matrices, differential equations and lasers. Trefethen is currently an ISI highly cited researcher.


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