Accession Number:

ADA149633

Title:

Approximation Order from Certain Spaces of Smooth Bivariate Splines on a Three-Direction Mesh.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1984-09-01

Pagination or Media Count:

28.0

Abstract:

This paper studies the approximation order from certain spaces of smooth vibariate splines on a three-direction mesh. Approximation order is a measurement of how well an approximation scheme works. This concept is important in numerical analysis. Unlike the situation in univariate spline approximation, the task of determining approximation order of multivariate spline spaces is very difficult. This report opens up a way to attack this problem. It is hoped that this method may eventually lead to a complete solution of this problem.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE