# Accession Number:

## ADA128072

# Title:

## Approximation by 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:

## 1983-03-01

# Pagination or Media Count:

## 27.0

# Abstract:

Univariate splines have been proved quite useful in practice. However, if one wants to fit a surface, or solve a partial differential equation numerically, one would naturally think of using multivariate splines. Here splines still mean piecewise polynomial functions. In this respect, a basic question is to ascertain, for a given mesh delta and a family S of splines on delta, what its optimal approximation order is. This question is challenging even for a regular triangular mesh delta, as soon as one demands that the approximating functions have a certain amount of smoothness. The report records a step toward answering the above question. Author

# Descriptors:

# Subject Categories:

- Statistics and Probability