Carl (-W. R.) de Boor
Steenbock Professor of Mathematical Sciences, Chebyshev Professor
of Mathematics and Computer Sciences, and member of the Center
for the Mathematical Sciences
Computer Sciences Department
University of Wisconsin
1210 W. Dayton St.
Madison, WI 53706-1685
telephone: (608) 262-1204
fax: (608) 262-9777
email:
deboor@cs.wisc.edu
http://www.cs.wisc.edu/~deboor/
Ph.D., University of Michigan, 1966
Interests:
Approximation theory, numerical analysis
Research Summary
I am interested in the use of piecewise polynomials, univariate
or multivariate, for the representation of functions. This requires
methods of approximation theory, such as interpolation or best
approximation, when the function is given explicitly. When the
function is given implicitly, as the solution of a differential,
integral, or other functional equation, numerical analysis techniques
come into play. When the function is to describe a curve or surface
in some design (or in a designer's head), the tools of computer-aided
geometric design are used. I am also interested in algorithms,
for the generation and use of piecewise polynomials in these and
other contexts, as well as in a mathematical understanding of
their capabilities and limitations.
Sample Recent Publications
Box Splines (with K. Höllig and S. Riemenschneider),
Springer-Verlag, Applied Mathematical Science vol. 98, New York,
1993.
Spline Toolbox for Use with MATLAB, The MathWorks Inc.,
Natick, MA, 1990, 1993.
Computational aspects of polynomial interpolation in several variables
(with A. Ron), Mathematics of Computation, vol. 58, pp.
706-727, 1992.
This page was automatically created December 30, 1998.
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