Accession Number:

ADA000472

Title:

Multivariate Spline Functions.

Descriptive Note:

Interim rept.,

Corporate Author:

MARYLAND UNIV BALTIMORE DEPT OF MATHEMATICS

Personal Author(s):

• Munteanu,Marie-Jeanne

Report Date:

1974-07-01

Pagination or Media Count:

38.0

Abstract:

This report addresses various approaches to multidimensional splines including a partial survey of the literature. In the first section the combined case of interpolating and smoothing by the use of splines is presented. The second section presents a class of multivariate spline functions associated with a general partial differential operator defined on an appropriate Sobolev space. The third section addresses the tensor product of Ahlberg, Nilson, Walsh and the blending splines introduced by Gordon. Author

Descriptors:

• *MULTIVARIATE ANALYSIS
• *SPLINES
• APPROXIMATION(MATHEMATICS)
• INTERPOLATION
• PARTIAL DIFFERENTIAL EQUATIONS
• VECTOR SPACES
• TENSOR ANALYSIS

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE