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Variational Theory of Splines /

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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, dim...

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Bibliographic Details
Main Author: Bezhaev, Anatoliĭ I͡u
Corporate Author: SpringerLink (Online service)
Other Authors: Vasilenko, Vladimir A.
Format: eBook
Language:English
Published: Boston, MA : Springer US, 2001.
Subjects:
Mathematics.
Electronic data processing.
Global analysis (Mathematics)
Functional analysis.
Mathematical optimization.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:Electronic resource.
Physical Description:1 online resource (xvii, 280 pages)
ISBN:9781475734287 (electronic bk.)
147573428X (electronic bk.)