Lloyd N. Trefethen

Nick Trefethen
Born Lloyd Nicholas Trefethen
(1955-08-30) 30 August 1955[1][2]
Fields Numerical analysis
Institutions
Alma mater
Thesis Wave Propagation and Stability for Finite Difference Schemes (1982)
Doctoral advisor Joseph E. Oliger[3]
Doctoral students
  • 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
Spouse
  • 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

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:

“ 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 2 3 TREFETHEN, Prof. Lloyd Nicholas, (Nick). Who's Who 2015 (online Oxford University Press ed.). A & C Black, an imprint of Bloomsbury Publishing plc. (subscription required)
  2. ↑ "New directions in Numerical Computation, 25-28 August 2015: In Celebration of Nick Trefethen's 60th birthday". University of Oxford. Archived from the original on 2015-04-04. line feed character in |title= at position 60 (help)
  3. 1 2 3 Lloyd N. Trefethen at the Mathematics Genealogy Project
  4. ↑ Banjai, Lehel. (2003). Computation of conformal maps by fast multipole method accelerated Schwarz-Christoffel transformation (PhD thesis). University of Oxford.
  5. ↑ Birkisson, Asgeir (2013). Numerical solution of nonlinear boundary value problems for ordinary differential equations in the continuous framework (PhD thesis). University of Oxford.
  6. ↑ Pachon, Ricardo (2010). Algorithms for polynomial and rational approximation (PhD thesis). University of Oxford.
  7. ↑ Townsend, Alex (2014). Computing with functions in two dimensions (PhD thesis). University of Oxford.
  8. 1 2 Embree, M.; Trefethen, L. N. (1999). "Growth and decay of random Fibonacci sequences" (PDF). Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 455 (1987): 2471. Bibcode:1999RSPSA.455.2471T. doi:10.1098/rspa.1999.0412.
  9. 1 2 3 4 "Certificate of candidature and election: Trefethen, Lloyd Nicholas, EC/2005/40". London: The Royal Society. Archived from the original on 2014-01-22.
  10. 1 2 Trefethen, Lloyd Nicholas (1982). Wave Propagation and Stability for Finite Difference Schemes (PhD thesis). Stanford University. OCLC 9136203.
  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. ↑ Nachtigal, N. L. M.; Reddy, S. C.; Trefethen, L. N. (1992). "How Fast are Nonsymmetric Matrix Iterations?". SIAM Journal on Matrix Analysis and Applications 13 (3): 778. doi:10.1137/0613049.
  15. ↑ Lloyd N. Trefethen from the Association for Computing Machinery (ACM) Digital Library
  16. ↑ "SNC '07 Invited Speakers". Retrieved 2008-04-26.
  17. ↑ "Nick Trefethen publication list".
  18. ↑ "T – Research Analytics – Thomson Reuters". Highlycited.com. 2011-09-15. Retrieved 2013-02-12.
  19. ↑ Stewart, G. W. (1999). "Review: Numerical linear algebra, by L. N. Trefethen and D. Bau". Math. Comp. 68: 453–454. doi:10.1090/S0025-5718-99-01069-8.
  20. ↑ Higham, Nicholas J. (2007). "Review: Spectra and pseudospectra: the behavior of nonnormal matrices and operators, by L. N. Trefethen and M. Embree". Bull. Amer. Math. Soc. (N.S.) 44 (2): 277–284. doi:10.1090/s0273-0979-06-01128-1.
  21. ↑ https://people.maths.ox.ac.uk/trefethen/bmi.html
  22. ↑ http://www.bbc.com/news/magazine-21229387
  23. ↑ Trefethen, L. N.; Trefethen, A. E.; Reddy, S. C.; Driscoll, T. A. (1993). "Hydrodynamic Stability Without Eigenvalues". Science 261 (5121): 578–584. doi:10.1126/science.261.5121.578. PMID 17758167.
  24. ↑ List of Fellows of the American Mathematical Society, retrieved 2013-08-27.
  25. ↑ "List of LMS prize winners". London Mathematical Society. Retrieved 25 November 2014.
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