Multidimensional Minimizing Splines : Theory and Applications - R. ArcangÃ©li

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Multidimensional Minimizing Splines

Theory and Applications

By: R. ArcangÃ©li, MarÃa Cruz LÃ³pez de Silanes, Juan JosÃ© Torrens

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Hardcover | 24 June 2004

At a Glance

Hardcover
280 Pages

Dimensions(cm)
24.13 x 15.88 x 2.54

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This book is of interest to mathematicians, geologists, engineers and, in general, researchers and post graduate students involved in spline function theory, surface fitting problems or variational methods. From reviews: 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).

Industry 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 D^m 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 D^m-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)

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Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Mathematical Foundation Earth Sciences, Geography, Environment, Planning Earth Sciences Geology & The Lithosphere Differential Calculus & Equations Numerical Analysis

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Published: 25th April 2013

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(m,s)-splines	p. 1
The spaces X[superscript m,s]	p. 5
Interpolating (m,s)-splines	p. 13
Smoothing (m,s)-splines	p. 39
(m,l,s)-splines	p. 53
D[superscript m]-splines over a bounded domain of R[superscript n]	p. 57
D[superscript m]-splines over [Omega]	p. 61
Discrete D[superscript m]-splines	p. 69
Univariate D[superscript m]-splines	p. 89
Applications of discrete D[superscript m]-splines	p. 101
Construction of explicit surfaces from large data sets	p. 105
Approximation of faulted explicit surfaces	p. 131
Fitting an explicit surface along a set of curves	p. 175
Fitting an explicit surface over an open set	p. 199
Approximation of parametric surfaces	p. 219
Table of Contents provided by Blackwell. All Rights Reserved.

Multidimensional Minimizing Splines

Theory and Applications

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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