Professor L N Trefethen FRS

Fellow of Balliol College

Head of Oxford's Numerical Analysis Group

Oxford University Mathematical Institute
24-29 St Giles'
Oxford OX1 3LB, England
trefethen (at) maths (dot) ox (dot) ac (dot) uk

Secretary: +44 1865 615316 (Lotti Ekert)
Fax: +44 1865 273839

Books

• Spectra and Pseudospectra  (PUP 2005: $65 from Princeton or amazon.com)
  
• Schwarz-Christoffel Mapping  (CUP 2002)
  
• Spectral Methods in Matlab  (SIAM 2000)
  
• Numerical Linear Algebra  (SIAM 1997)
  
• Finite Difference and Spectral Methods  (freely available online)
  

• GH Hardy, Applied Mathematician (SIAM News, Apr. 2008)
  
• Gene Golub obituary (Nature, 13 Dec. 2007)
  
• Numerical analysis (Princeton Companion to Mathematics, 2008)
  
• Ten digit algorithms (Mitchell Lecture, Dundee, June 2005)
  
• An American at Oxford (Oxford Magazine, May 2003)
  
• The definition of numerical analysis (SIAM News, Nov 1992)
  
• Maxims about numerical mathematics, computers, science, and life (SIAM News, Jan/Feb 1998)
  
• Predictions for scientific computing 50 years from now (Mathematics Today, 2000)
  

• Complete collection of (almost) all publications going back to 1980
  
• Impossibility of approximating analytic functions from equispaced samples (SIAM Review, submitted)
  
• Householder triangularization of a quasimatrix (IMA J. Numer. Anal., 2009)
  
• Barycentric-Remez algorithms for best polynomial approximation in the chebfun system (BIT Numer. Math., 2009)
  
• The chebop system for automatic solution of differential equations (BIT Numer. Math., 2008)
  
• Piecewise smooth chebfuns (IMA J. Numer. Anal., 2009)
  
• Computing f(A) by contour integrals (SIAM J. Numer. Anal., 2008)
  
• New quadrature formulas from conformal maps (SIAM J. Numer. Anal., 2008)
  
• Is Gauss quadrature better than Clenshaw-Curtis? (SIAM Review, 2008)
  
• The kink phenomenon in Clenshaw-Curtis and Fejér quadrature (Numerische Mathematik, 2007)
  
• Computing numerically with functions instead of numbers (Mathematics in Computer Science, 2007)
  
• A rational spectral collocation method with adaptively transformed Chebyshev grid points (SIAM J. Sci. Comp., 2006)
  
• Talbot quadratures and rational aproximations (BIT Numer. Math., 2006)
  
• Computed eigenmodes of planar regions (AMS Contemporary Mathematics, 2006)
  
• Wave packet pseudomodes of variable coefficient differential operators (Proc. Roy. Soc. A, 2005)
  
• Reviving the method of particular solutions (SIAM Review, 2005)
  
• Fourth-order time-stepping for stiff PDEs (SIAM J. Sci. Comp., 2005)
  
• Barycentric Lagrange interpolation (SIAM Review, 2004)
  

• Eigenmodes of drums and physics Nobel Prizes (Rice University, November 2005)
  
• Continuous analogues of QR, SVD, and LU (Householder Symposium, June 2008)
  
• Spectra and Pseudospectra (Householder Symposium, May 2005)
  
• Who invented the great numerical algorithms? (Various places, 2005)
  
• Is Gauss quadrature better than Clenshaw-Curtis? (SIAM Annual Meeting, July 2006)
  
• Lewy-Hörmander nonexistence and pseudospectra (SIAM PDE Meeting, July 2006)
  
• Talbot quadratures and rational approximations (SIAM/GAMM Applied Linear Algebra, July 2006)
  

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• Scientific Computing for DPhil Students (course 2008-09) (flier)
  
• CV and list of publications, research resume, biography, briefer biography, studio photo
  
• The SIAM 100-dollar, 100-digit challenge
• MSc and DPhil programs in numerical analysis at Oxford
  
• OCCAM
  
• Numerical Software Tools and Information Sources
  
• Classic papers of numerical analysis
  
• $100 bet with Peter Alfeld
  
• Life on planet Earth: a one-page summary
  
• Transition to turbulence: a one-page summary (pdf) (1993 Science article)
  
• Pseudospectra Gateway
• EIGTOOL
• Schwarz-Christoffel Toolbox
• Some Matlab demonstration codes
• Taught Course 2009