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Lloyd N Trefethen

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Name  Lloyd Trefethen

Role  Professor of mathematics
Fields  Numerical analysis
Lloyd N. Trefethen httpscsnyueducsfacultytrefethentrefethenjpg
Born  Lloyd Nicholas Trefethen 30 August 1955 (age 60) (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

NLA Lecture 13 Exercise 3


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:

B M I = 1.3 w e i g h t / h e i g h t 2.5

(International System of Units)

Notable publications

  • Numerical Linear Algebra (1997) with David Bau
  • Spectral Methods in Matlab (2000)
  • "Hydrodynamic stability without eigenvalues" with Anne Trefethen, Satish Reddy, and Tobin Driscoll
  • "Pseudospectra of linear operators" SIAM Review (1997)
  • 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).

    References

    Lloyd N. Trefethen Wikipedia


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