Name Lloyd Trefethen | Role Professor of mathematics Fields Numerical analysis | |
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Born Lloyd Nicholas Trefethen
30 August 1955 (age 69) ( 1955-08-30 ) Institutions Balliol College, Oxford
University of Oxford
New York University
MIT
Cornell University Alma mater Harvard University
Stanford University Thesis Wave Propagation and Stability for Finite Difference Schemes (1982) Doctoral students Jeffrey Baggett
Richard Baltensperger
Lehel Banjai
Timo Betcke
Asgeir Birkisson
Tobin Driscoll
Alan Edelman
Nick Hale
Louis Howell
Walter Mascarenhas
Noel Nachtigal
Ricardo Pachon
Satish Reddy
Mark Richardson
Thomas Schmelzer
Kim-Chuan Toh
Alex Townsend
Divakar Viswanath
Thomas Wright Known for Embree–Trefethen constant Education Stanford University, Harvard University People also search for Tobin A. Driscoll, Alan Edelman, Eric Kostlan Books Spectral Methods in MATLAB, Numerical linear algebra, Spectra and pseudospectra, Trefethen's Index Cards: Fo, Approximation Theory and Approxim | ||
Doctoral advisor Joseph E. Oliger | ||
Lloyd N. 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.
Contents
- Lloyd N Trefethen
- Education
- Career and research
- Notable publications
- Awards and honours
- Personal life
- References
Education
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.
Career and research
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.
Trefethen has written a number of books on numerical analysis including Numerical Linear Algebra with David Bau, Spectral Methods in MATLAB, Schwarz–Christoffel Mapping with Tobin Driscoll, and Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators with Mark Embree. He has recently been heavily involved in the creation and development of the MATLAB-based Chebfun software project.
In 2013 he proposed a new formula to calculate the BMI of a person:
(International System of Units)
Notable publications
Awards and honours
Trefethen was the first winner of the Leslie Fox Prize for Numerical Analysis. He is a fellow of the American Mathematical Society, and a member of the National Academy of Engineering in the United States. Trefethen was elected a Fellow of the Royal Society (FRS) in 2005, his certificate of election reads:
In 2013 Trefethen was awarded the Naylor Prize and lectureship in Applied Mathematics from the London Mathematical Society
Personal life
Trefethen has one son and one daughter from his first marriage to Anne Elizabeth Trefethen (née Daman).