[Crib-list] L. NICK TREFETHEN to speak at the Applied Mathematics Colloquium on Monday, December 11, 2006

[Shirley Entzminger]

 			APPLIED MATHEMATICS COLLOQUIUM


Date:		MONDAY, DECEMBER 11, 2006
TIME:		4:30 PM
LOCATION:	Building 2, Room 105

Refreshments at 4:00 PM in Building 4, Room 174  (Math Majors Lounge)


Title:		SPEEDING UP NUMERICAL COMPUTATIONS VIA CONFORMAL MAPS

Speaker:	L. NICK TREFETHEN (Oxford University)


ABSTRACT:

Conformal mapping is not the tool most numerical analysts reach for first; 
indeed many numerical analysts are uncomfortable in the complex plane. 
Yet by considering a few elementary conformal maps and their use for 
transplanting problems from one domain to another, one can produce 
powerful numerical algorithms.  This talk will present several examples:

- A new formula for quadrature on an interval
   [joint work with Nick Hale]

- Tanh and DE quadrature with endpoint singularities
   [Takahasi & Mori et al.]

- Adaptive spectral methods for PDEs
   [joint work with Wynn Tee]

- Evaluation of functions of matrices and operators
   [joint work with Nick Higham]

- Talbot contours for inverse Laplace transforms
   [joint work with Andre Weideman]

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Applied Math Colloquium:  http://www-math.mit.edu/amc/fall06
Math Department:  http://www-math.mit.edu


Massachusetts Institute of Technology
Department of Mathematics
Cambridge, MA  02139