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Author: T. L. Jordan
Publisher:
ISBN:
Category : Numerical analysis
Languages : en
Pages : 26
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Book Description
Author: T. L. Jordan
Publisher:
ISBN:
Category : Numerical analysis
Languages : en
Pages : 26
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Book Description
Author: Charles K. Chui
Publisher: SIAM
ISBN: 0898712262
Category : Mathematics
Languages : en
Pages : 192
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Book Description
Subject of multivariate splines presented from an elementary point of view; includes many open problems.
Author: Carl de Boor
Publisher: Springer
ISBN: 0387953663
Category : Mathematics
Languages : en
Pages : 348
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Book Description
This book is based on the author’s experience with calculations involving polynomial splines, presenting those parts of the theory especially useful in calculations and stressing the representation of splines as weighted sums of B-splines. The B-spline theory is developed directly from the recurrence relations without recourse to divided differences. This reprint includes redrawn figures, and most formal statements are accompanied by proofs.
Author: Ren-Hong Wang
Publisher: Springer Science & Business Media
ISBN: 9401723788
Category : Mathematics
Languages : en
Pages : 522
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Book Description
This book deals with the algebraic geometric method of studying multivariate splines. Topics treated include: the theory of multivariate spline spaces, higher-dimensional splines, rational splines, piecewise algebraic variety (including piecewise algebraic curves and surfaces) and applications in the finite element method and computer-aided geometric design. Many new results are given. Audience: This volume will be of interest to researchers and graduate students whose work involves approximations and expansions, numerical analysis, computational geometry, image processing and CAD/CAM.
Author: Borislav D. Bojanov
Publisher: Springer Science & Business Media
ISBN: 940158169X
Category : Mathematics
Languages : en
Pages : 287
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Book Description
Spline functions entered Approximation Theory as solutions of natural extremal problems. A typical example is the problem of drawing a function curve through given n + k points that has a minimal norm of its k-th derivative. Isolated facts about the functions, now called splines, can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J. Favard, L. Tschakaloff. However, the Theory of Spline Functions has developed in the last 30 years by the effort of dozens of mathematicians. Recent fundamental results on multivariate polynomial interpolation and multivari ate splines have initiated a new wave of theoretical investigations and variety of applications. The purpose of this book is to introduce the reader to the theory of spline functions. The emphasis is given to some new developments, such as the general Birkoff's type interpolation, the extremal properties of the splines and their prominant role in the optimal recovery of functions, multivariate interpolation by polynomials and splines. The material presented is based on the lectures of the authors, given to the students at the University of Sofia and Yerevan University during the last 10 years. Some more elementary results are left as excercises and detailed hints are given.
Author: T. Gasser
Publisher: Springer
ISBN: 3540384758
Category : Mathematics
Languages : en
Pages : 254
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Book Description
Author: J. H. Ahlberg
Publisher: Elsevier
ISBN: 1483222950
Category : Mathematics
Languages : en
Pages : 297
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Book Description
The Theory of Splines and Their Applications discusses spline theory, the theory of cubic splines, polynomial splines of higher degree, generalized splines, doubly cubic splines, and two-dimensional generalized splines. The book explains the equations of the spline, procedures for applications of the spline, convergence properties, equal-interval splines, and special formulas for numerical differentiation or integration. The text explores the intrinsic properties of cubic splines including the Hilbert space interpretation, transformations defined by a mesh, and some connections with space technology concerning the payload of a rocket. The book also discusses the theory of polynomial splines of odd degree which can be approached through algebraically (which depends primarily on the examination in detail of the linear system of equations defining the spline). The theory can also be approached intrinsically (which exploits the consequences of basic integral relations existing between functions and approximating spline functions). The text also considers the second integral relation, raising the order of convergence, and the limits on the order of convergence. The book will prove useful for mathematicians, physicist, engineers, or academicians in the field of technology and applied mathematics.
Author: James George Wendelberger
Publisher:
ISBN:
Category : Smoothing (Statistics)
Languages : en
Pages : 396
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Book Description
Author: R. Arcangéli
Publisher: Springer Science & Business Media
ISBN: 1402077874
Category : Mathematics
Languages : en
Pages : 267
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Book Description
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).
Author: National Research Council (U.S.). Committee on Applied and Theoretical Statistics. Panel on Statistics and Oceanography
Publisher: National Academies
ISBN:
Category : Oceanography
Languages : en
Pages : 76
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Book Description
