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Started by jm197
Thu, 30 Mar 2000 00:00
SUNYA Mathematics Colloquium
Author: jm197
Date: Thu, 30 Mar 2000 00:00
Date: Thu, 30 Mar 2000 00:00
32 lines
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2409 bytes
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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