Accession Number : ADA180769

Title :   B-Form Basics.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : De Boor,C.

Report Date : SEP 1986

Pagination or Media Count : 24

Abstract : The basic facts about the B(arycentric, -ernstein, -ezier) form of a multivariate polynomial are recorded and, in part, proved. These include: evaluation (de Casteliau's algorithm), differentiation and integration, product, degree raising, change of the underlying simplex, and the behavior on the boundary of the underlying simplex, with application to the construction of smooth pp functions on a given triangulation. Some effort has gone into making the notation fully reflect the symmetries and structure of this form. In particular, the description of this form in terms of difference operators is stressed. Keywords: Piecewise polynomials; Linear interpolation.

Descriptors :   *POLYNOMIALS, ALGORITHMS, BOUNDARIES, MULTIVARIATE ANALYSIS, CONSTRUCTION, INTERPOLATION, LINEARITY, FINITE DIFFERENCE THEORY, OPERATORS(MATHEMATICS), TRIANGULATION

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE