Lloyd N. Trefethen

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Nick Trefethen
Born Lloyd Nicholas Trefethen
(1955-08-30) 30 August 1955 (age 69)[1][2]
Fields Numerical analysis
Institutions <templatestyles src="Plainlist/styles.css"/>
Alma mater <templatestyles src="Plainlist/styles.css"/>
Thesis Wave Propagation and Stability for Finite Difference Schemes (1982)
Doctoral advisor Joseph E. Oliger[3]
Doctoral students <templatestyles src="Plainlist/styles.css"/>
  • Jeffrey Baggett
  • Richard Baltensperger
  • Lehel Banjai[4]
  • Timo Betcke
  • Asgeir Birkisson[5]
  • Tobin Driscoll
  • Alan Edelman
  • Nick Hale
  • Louis Howell
  • Walter Mascarenhas
  • Noel Nachtigal
  • Ricardo Pachon[6]
  • Satish Reddy
  • Mark Richardson
  • Thomas Schmelzer
  • Kim-Chuan Toh
  • Alex Townsend[7]
  • Divakar Viswanath
  • Thomas Wright[3]
Known for Embree–Trefethen constant[8]
Notable awards <templatestyles src="Plainlist/styles.css"/>
Spouse <templatestyles src="Plainlist/styles.css"/>
  • Anne Elizabeth Trefethen (née Daman) (m. 1988–2008)
  • Kate McLoughlin (m. 2011)
Children one son, one daughter[1]
Website
people.maths.ox.ac.uk/trefethen

(Lloyd) Nicholas Trefethen, FRS[9] (born 30 August 1955) is professor of numerical analysis and head of the Numerical Analysis Group at the Mathematical Institute, University of Oxford.[11][12][13][14]

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.[3][10][15]

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.[16]

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.[17] 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.[18]

Trefethen has written a number of books on numerical analysis including Numerical Linear Algebra[19] with David Bau, Spectral Methods in MATLAB, Schwarz–Christoffel Mapping with Tobin Driscoll, and Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators[20] with Mark Embree.[8] 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:[21][22]

BMI = 1.3 weight / height^{2.5}

(International System of Units)

Notable publications

  • Numerical Linear Algebra (1997) with David Bau
  • Spectral Methods in Matlab (2000)
  • "Hydrodynamic stability without eigenvalues" [23] 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,[24] 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,[9] his certificate of election reads:<templatestyles src="Template:Blockquote/styles.css" />

Nick Trefethen is distinguished for his many seminal contributions to Numerical Analysis and its applications in Applied Mathematics and in Engineering Science. His research spans theory, algorithms, software and physical applications, particularly involving eigenvalues, pseudospectra - a concept which he introduced - and dynamics. He has an international reputation for his work on nonnormal matrices and operators. He has also made major contributions to finite difference and spectral methods for partial differential equations, numerical linear algebra, and complex analysis. His monograph Numerical Linear Algebra (SIAM, 1997) is one of the SIAM's best selling books and has already been through five printings.[9]

In 2013 Trefethen was awarded the Naylor Prize and lectureship in Applied Mathematics from the London Mathematical Society [25]

Personal life

Trefethen has one son and one daughter from his first marriage to Anne Elizabeth Trefethen (née Daman).[1]

References

  1. ↑ 1.0 1.1 1.2 Lua error in package.lua at line 80: module 'strict' not found. (subscription required)
  2. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  3. ↑ 3.0 3.1 3.2 Lloyd N. Trefethen at the Mathematics Genealogy Project
  4. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  5. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  6. ↑ Lua error in package.lua at line 80: module 'strict' not found. open access publication - free to read
  7. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  8. ↑ 8.0 8.1 Lua error in package.lua at line 80: module 'strict' not found.
  9. ↑ 9.0 9.1 9.2 9.3 Lua error in package.lua at line 80: module 'strict' not found.
  10. ↑ 10.0 10.1 Lua error in package.lua at line 80: module 'strict' not found.
  11. ↑ Lloyd N. Trefethen's publications indexed by the Scopus bibliographic database, a service provided by Elsevier.
  12. ↑ Lloyd N. Trefethen's publications indexed by Google Scholar, a service provided by Google
  13. ↑ Lloyd N. Trefethen's publications indexed by the DBLP Bibliography Server at the University of Trier
  14. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  15. ↑ Lloyd N. Trefethen from the Association for Computing Machinery (ACM) Digital Library
  16. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  17. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  18. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  19. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  20. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  21. ↑ https://people.maths.ox.ac.uk/trefethen/bmi.html
  22. ↑ http://www.bbc.com/news/magazine-21229387
  23. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  24. ↑ List of Fellows of the American Mathematical Society, retrieved 2013-08-27.
  25. ↑ Lua error in package.lua at line 80: module 'strict' not found.
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