| Variational Theory of Splines 2001 Edition Contributor(s): Bezhaev, Anatoly Yu (Author), Vasilenko, Vladimir A. (Author) |
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ISBN: 0306466422 ISBN-13: 9780306466427 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: August 2001 Annotation: This book is a systematic description of the variational theory of splines in Hilbert spaces. All central aspects are discussed in the general form: existence, uniqueness, characterization via reproducing mappings and kernels, convergence, error estimations, vector and tensor hybrids in splines, dimensional reducing (traces of splines onto manifolds), etc. All considerations are illustrated by practical examples. In every case the numerical algorithms for the construction of splines are demonstrated. |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Functional Analysis - Computers | Programming - Algorithms |
| Dewey: 511.42 |
| LCCN: 2001038332 |
| Physical Information: 0.75" H x 7" W x 10" (1.66 lbs) 280 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Th e vari a t i on al s p li ne t heo ry w h ic h orig i na t es from th e w ell-kn own p ap er b y J. e . Hollid a y ( 1957) i s t od a y a we ll- deve lo pe d fi eld in a p pr o x - mat i o n t he o ry . T he ge ne ra l d efinition of s p l i nes in t he Hilb er t s pace, - i st ence, uniquen e s s, and ch ar a c t eriz a tion t he o re ms w ere obt ain ed a b o ut 35 ye a r s ago b y M . A t t ei a, P . J . Laur en t, a n d P . M. An selon e, bu t in r e cent y e a r s important n e w r esult s h a v e b e en ob t ain ed in th e a bst ract va r i a t i o n a l s p l i ne theor y . |