Nick Trefethen Explained

Nick Trefethen should not be confused with Lloyd M. Trefethen.

Nick Trefethen
Birth Name:Lloyd Nicholas Trefethen
Birth Date:1955 8, df=yes[1]
Fields:Numerical analysis
Thesis Title:Wave Propagation and Stability for Finite Difference Schemes
Thesis Url:http://search.proquest.com/docview/303229499
Thesis Year:1982
Doctoral Advisor:Joseph E. Oliger
Doctoral Students:Alan Edelman
Known For:Embree–Trefethen constant[2]
Children:one son, one daughter

Lloyd Nicholas Trefethen [3] (born 30 August 1955) is an American mathematician, professor of numerical analysis and head of the Numerical Analysis Group at the Mathematical Institute, University of Oxford.[4]

Early life and education

Trefethen was born 30 August 1955 in Boston, Massachusetts,[5] the son of mechanical engineer Lloyd M. Trefethen and codebreaker, poet, teacher and editor Florence Newman Trefethen. Trefethen attended Phillips Exeter Academy.

He obtained his bachelor's degree from Harvard College 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.[6]

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.[7]

His publications span 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.[8] 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.[9]

Trefethen has written a number of books on numerical analysis including Numerical Linear Algebra[10] with David Bau, Spectral Methods in MATLAB, Schwarz–Christoffel Mapping with Tobin Driscoll, and Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators[11] with Mark Embree.[2] He is the leader of the MATLAB-based Chebfun software project.

In 2013 he proposed a new formula to calculate the BMI of a person:[12] [13]

BMI=1.3 x

weight
height2.5

(International System of Units)

Books

Awards and honours

Trefethen was the first winner of the Leslie Fox Prize for Numerical Analysis. In 1998 he was an Invited Speaker of the International Congress of Mathematicians in Berlin.[14] He is a fellow of the American Mathematical Society,[15] 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,[3] and his certificate of election reads:

In 2010 Trefethen was awarded the Gold Medal of the Institute of Mathematics and its Applications in recognition of his "outstanding contributions to mathematics and its applications over a period of years".[16] In 2013 Trefethen was awarded the Naylor Prize and lectureship in Applied Mathematics from the London Mathematical Society.[17] He was awarded the George Pólya Prize for Mathematical Exposition in 2017 and the John von NeumannPrize in 2020 by SIAM.

Personal life

Trefethen has one son and one daughter from his first marriage to Anne Elizabeth Trefethen (née Daman). He is currently married to Kate McLoughlin, a professor of English Literature at Oxford.

Notes and References

  1. Web site: https://web.archive.org/web/20150404032743/http://www2.maths.ox.ac.uk/new.direction2015/. 4 April 2015. New directions in Numerical Computation, 25–28 August 2015: In Celebration of Nick Trefethen's 60th birthday. University of Oxford.
  2. Embree . M. . Mark Embree. Trefethen . L. N. . Lloyd N. Trefethen. 10.1098/rspa.1999.0412 . Growth and decay of random Fibonacci sequences . Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences . 455 . 1987 . 2471 . 1999 . 1999RSPSA.455.2471T . 10.1.1.33.1658 . 16404862 .
  3. Web site: Certificate of candidature and election: Trefethen, Lloyd Nicholas, EC/2005/40 . The Royal Society . 3 February 2014 . https://archive.today/20140203072353/http://royalsociety.org/DServe/dserve.exe?dsqIni=Dserve.ini&dsqApp=Archive&dsqDb=Catalog&dsqCmd=show.tcl&dsqSearch=(RefNo

    'EC/2005/40')

    . London . dead.
  4. Nachtigal . N. L. M. . Reddy . S. C. . Trefethen . L. N. . 10.1137/0613049 . How Fast are Nonsymmetric Matrix Iterations? . SIAM Journal on Matrix Analysis and Applications . 13 . 3 . 778 . 1992 . 10.1.1.210.62 .
  5. Book: American Men & Women of Science: Physical and Biological Sciences. registration. 1986. Bowker. Jaques Cattell Press.. 0835222217. 16th. New York. 184. 13680380.
  6. PhD . Lloyd Nicholas. Trefethen . Wave Propagation and Stability for Finite Difference Schemes . Stanford University . 1982 . Lloyd N. Trefethen. 9136203. .
  7. Web site: SNC '07 Invited Speakers. 26 April 2008.
  8. Web site: Nick Trefethen publication list.
  9. Web site: T – Research Analytics – Thomson Reuters . Highlycited.com . 15 September 2011 . 12 February 2013.
  10. Stewart, G. W. . Review: Numerical linear algebra, by L. N. Trefethen and D. Bau . Math. Comp. . 1999 . 68 . 225 . 453–454 . 10.1090/S0025-5718-99-01069-8 . free .
  11. Higham, Nicholas J.. Nicholas Higham. Review: Spectra and pseudospectra: the behavior of nonnormal matrices and operators, by L. N. Trefethen and M. Embree. Bull. Amer. Math. Soc. (N.S.). 2007. 44. 2. 277–284. 10.1090/s0273-0979-06-01128-1. free.
  12. Web site: New BMI (New Body Mass Index).
  13. News: Does the BMI need correcting?. BBC News. 2013-01-29. Stephenson. Wesley.
  14. Book: Trefethen, Lloyd N.. Driscoll, Tobin A.. Schwarz-Christoffel mapping in the computer era. Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. III. 1998. 533–542. https://www.elibm.org/ft/10011609000.
  15. https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society
  16. Web site: IMA Gold Medal. 16 May 2018. Institute of Mathematics and its Applications
  17. Web site: List of LMS prize winners. London Mathematical Society. 25 November 2014.