Variational Theory of Splines
By: by Anatoly Yu. Bezhaev, Vladimir A. Vasilenko
Contributors: Vasilenko, Vladimir A.
Publisher: Springer US
Published: 2001
Place of publication: Boston, MA
Language: eng
Format: [electronic resource] /
Number of pages: 280
ISBN-13: 9781441933683; 9781475734287
Subjects: Functional analysis; Mathematics; Mathematical optimization; Global analysis (Mathematics); Electronic data processing
Description: 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.
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