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SUMMARY: Polynomials\, Rational Functions and Chebfun  - Professor L N Tre
 fethen\, Oxford University Mathematical Institute
DTSTART:20140609T130000Z
DTEND:20140609T170000Z
UID:TALK51989@talks.cam.ac.uk
CONTACT:CCA
DESCRIPTION:Polynomials are among the oldest ideas in mathematics\,\nand t
 hey are also one of the most powerful tools for\npractical computing.  Rat
 ional functions generalize them in ways that give new power near singulari
 ties and on unbounded regions.  This four-hour event will blend:\n\n1) THE
 ORY\, based on the textbook Approximation Theory and Approximation Practic
 e.  Topics touched upon will include the barycentric interpolation formula
 \, the Runge phenomenon\, rootfinding via colleague matrices\, the Remez a
 lgorithm for best approximation\, Gauss quadrature\, and analytic continua
 tion\; \n\nand\n\n2) PRACTICE\, using Chebfun.  Participants should bring\
 nlapops leaded with Matlab and plan to spend some enjoyable time working i
 n pairs on some challenging computational problems\, which will touch upon
  ODEs and PDEs as well as the topics mentioned above.  No prior Chebfun ex
 perience is needed but you should be comfortable in Matlab. 
LOCATION:MR2
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