Abstract/Details

Polyharmonic cardinal Hermite spline interpolation

Chang, Maoli. 
 University of Connecticut ProQuest Dissertations Publishing,  1991. 9128843.

Abstract (summary)

Polyharmonic cardinal splines introduced in (7) are believed to be a truly multi-variate analogue of the cardinal splines. The results of (7), concerning polyharmonic cardinal spline interpolation of data of power growth, are here extended to the case of Hermite interpolation. An explicit representation formula for the Hermitian fundamental splines (Lagrangians) is presented and the properties of the corresponding Lagrange-series are discussed.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences; Hermite interpolation; cardinal splines; polyharmonic cardinal splines
Title
Polyharmonic cardinal Hermite spline interpolation
Author
Chang, Maoli
Number of pages
70
Degree date
1991
School code
0056
Source
DAI-B 52/04, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
979-8-207-43115-4
Advisor
Madych, Wolodymyr R.
University/institution
University of Connecticut
University location
United States -- Connecticut
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9128843
ProQuest document ID
303942674
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/303942674/abstract