Carl R. de Boor

My main interests are in approximation theory and numerical analysis. Specifically, 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 some designer's head), the tools of computer-aided 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.