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Table of contents (12 chapters)
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Front Matter
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(m, s)-Splines
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Front Matter
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D m -Splines Over a Bounded Domain of ℝ n
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
"Part of the purpose of this book is to describe an abstract theory of minimizing splines which includes the Duchon splines … . Four chapters are devoted to this subject. … The rest of the book deals with what are called discrete Dm splines. … These chapters contain explicit examples with tables giving numerical results … . The book is well organized, and the English is very good. I recommend the book to researchers in approximation theory, and to anyone interested in bivariate data fitting." (L.L. Schumaker, Mathematical Reviews, 2005)
"This book is devoted to the theory of multivariate minimizing splines and some applications in surface approximation. It is mainly written for postgraduates. … This well-written book is divided into 3 parts. Part A presents the theory of (m,s)-splines over Rn. … In Part B, the authors treat Dm-splines over a bounded domain … . Finally, Part C discusses some applications in geophysics and geology arising in oil research." (Manfred Tasche, Zentralblatt MATH, Vol. 1064 (15), 2005)
Bibliographic Information
Book Title: Multidimensional Minimizing Splines
Book Subtitle: Theory and Applications
Authors: Rémi Arcangéli, María Cruz López Silanes, Juan José Torrens
DOI: https://doi.org/10.1007/b130045
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2004
Hardcover ISBN: 978-1-4020-7786-9Published: 24 June 2004
Softcover ISBN: 978-1-4757-8843-3Published: 25 April 2013
eBook ISBN: 978-1-4020-7787-6Published: 27 February 2006
Edition Number: 1
Number of Pages: XV, 263
Number of Illustrations: 51 b/w illustrations
Topics: Approximations and Expansions, Computational Mathematics and Numerical Analysis, Earth Sciences, general, Partial Differential Equations