On the computation of optimal approximations in Sard corner spaces
By: Richard Franke
Contributors: Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1976
Place of publication: Monterey, Calif
Language: eng
Number of pages: 22
Subjects: Numerical analysis; Approximation theory; Interpolation
Description: This report investigates computation of optimal approximations in the Sard corner spaces B [1,1] and B [2,2].  Use of the representers of point evaluation functional is shown to be possible for up to 100 points or so in B [1,1].  Two schemes for introducing basis functions which are zero in certain regions, including one set which have compact support, are investigated.  Again, these are primarily useful for B [1,1].  In the space B [2,2], which contains only continuously differentiable functions, use of the representers is possible only for small data sets unless one can use a great deal of precision in solving the system of linear equations which arises.  The generation of basis functions with compact support is also possible in B [2,2].  The general conclusion is that local schemes must be employed, particularly for smooth approximations. (Author)
Notes: Title from cover.

"Prepared for: Chief of Naval Research"--Cover.

"Technical report for period July - September 1976"--Cover.

"NPS-53Fe76121"--Cover.

Author(s) subject terms: Optimal approximations, multivariate interpolation, Sard spaces.

Includes bibliographical references (p. 21)

"Approved for public release; distribution unlimited"--Cover.

Technical report; December 1976.