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THE 2009 DR. F. RONALD AND HELEN E. BRITTON LECTURES

September 22-25, 2009

Nick Trefethen

Oxford University


Tue, Sep 22/09 
3:30 - 4:30 p.m. 
HH 104 
Polynomial interpolation in a million points (including a demonstration of the chebfun software system)
Wed, Sep 23/09 
3:30-4:30 
HH 217 
Eigenmodes of drums and Physics Nobel Prizes
Thu, Sep 24/09 
3:30-4:30 
HH 104 
Nonnormal dynamics and pseudospectra
Fri, Sep 25/09 
3:30-4:30 
HH 305 
Who invented the great numerical algorithms?


Dr. F. Ronald Britton was a former Professor of Mathematics at McMaster, and served as Chair of the Department of Mathematics. After his retirement, he endowed our annual Britton Lectures in memory of his late wife Helen E. Britton. The Britton Lectures have provided the University with a series of distinguished invited speakers since its beginning in 1978.

Abstract: Even most numerical analysts don't know it, but high-order polynomial interpolation is an utterly well-behaved process, so long as you use clustered interpolation points (e.g. Chebyshev points) and evaluate the interpolant stably by the barycentric formula. An interpolant of degree one million, for example, is not a problem at all. This talk will comment on the curious history of misconceptions about polynomials, mention some key theorems in this area, and then demonstrate a software system we have built to take advantage of the power of Chebyshev interpolants: chebfun. This is joint work with, among others, Nick Hale, Ricardo Pachon, Rodrigo Platte, and Toby Driscoll.

Past Britton Lecture Series:

2007-2008 Chris Rogers 
University of Cambridge 
Optimal Investment
2006-2007 Donald Dawson 
Carleton 
Spatial structures and universality classes in stochastic population systems
2005-2006 Toniann Pitassi 
Department of Computer Science
University of Toronto 
Recent Advances I
2004-2005 David Rand 
University of Warwick 
Evolutionary design principles for circadian clocks
2003-2004 Dr. Haim Brezis 
Universite Pierre et Marie Curie & Rutgers University 
The Ginzburg-Landau Model: Lecture I
2002-2003 John Coates 
Cambridge University 
Iwasawa Algebras and Arithmetic I
2001-2002 Robion Kirby 
University of California, Berkeley 
Lecture II
2000-2001 David Brillinger 
University of California, Berkeley 
Lecture II
1999-2000 Peter Schneider 
Westfalische Wilhelms-Universitat 
1998-1999 David C. Brydges 
University of Virginia 
1997-1998 Neil S. Trudinger 
Australian National University 
1996-1997 Anand Pillay 
University of Illinois at Urbana-Champaign 
1995-1996 R.V. Moody 
University of Alberta 
1994-1995 Carlos E. Kenig 
University of Chicago, Chicago, Illinois 
1993-1994 Ronnie Lee 
Yale University, New Haven, Connecticut 
1992-1993 Joseph J. Kohn 
Princeton University, Princeton, New Jersey 
1991-1992 Ronald L. Graham 
AT&T Bell Laboratories, Murray Hill, New Jersey 
1990-1991 Samuel Karlin 
Stanford University, Stanford, California 
1989-1990 Michael Aizenman 
Courant Institute of Mathematics, New York University 
1988-1989 Richard M. Schoen 
Stanford University, Stanford, California 
1987-1988 Victor P. Snaith 
University of Western Ontario, London, Ontario 
1986-1987 Jerry L. Bona 
Pennsylvania State University, University Park, PA 
1985-1986 Frank H. Clarke 
Centre de Recherche Mathematiques, University of Montreal 
1984-1985 C.R. Rao 
University of Pittsburgh, Pittsburgh, PA 
1983-1984 Dana S. Scott 
Carnegie-Mellon University, Pittsburgh, PA 
1982-1983 Marvin Shinbrot 
University of Victoria, Victoria, B.C. 
1981-1982 Louis Nirenberg 
Courant Institute, N.Y.U, New York, NY 
1980-1981 Peter J. Hilton 
Case Western Reserve University, Cleveland, Ohio 
1979-1980 Ian N. Sneddon 
University of Glasgow, Scotland 
1978-1979 Paul L. Butzer 
Technical University of Aachen, Federal Republic of Germany 
1999-2000 Ravi Vakil 
Stanford University 
Britton Lecture Series - TBA

 
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