SUNYA Mathematics Colloquium

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#82

From: jm197
Date: Thu, 30 Mar 2000 00:00

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                  Department of Mathematics and Statistics
                          The University at Albany
                                      
                                 COLLOQUIUM
                                      
                           Professor Thomas Sauer
                                      
                           Universitaet Erlangen
                                      
             ``Polynomial interpolation in several variables''
                                      
                          Tuesday, April 11, 2000
                                      
                              4:00 p.m., LC 12
                                      
                          Tea at 3:30 p.m., ES 152
                                      
                                  ABSTRACT
                                      
   Polynomial interpolation in one variable is a standard topic in almost
   any textbook Numerical Analysis. In two and more variables, however,
   things are very much different, and this for good reasons: the
   interpolation spaces do not depend only on the number of interpolation
   points, but also on the geometry of the interpolation points, and they
   do this in a very intricate way. Nevertheless, there are several
   fairly recent approaches, both of more theoretical or of more
   numerical nature, which try to construct and describe the
   interpolation spaces or even ``good'' node configurations. In the talk
   some of these methods will be described as well as a general formula
   which describes the error of interpolation in terms of a simplex
   spline integral.

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From: jm197@math.albany.edu
Subject: SUNYA Mathematics Colloquium
Date: 2000/03/30
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