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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 624
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 624
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Book Description
Author: University of Wisconsin--Madison. Department of Statistics
Publisher:
ISBN:
Category :
Languages : en
Pages : 666
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Book Description
Author: Thomas Nall Eden Greville
Publisher: St. Pierre, Man. : Charles Babbage Research Centre
ISBN:
Category : Insurance
Languages : en
Pages : 388
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Book Description
Author: I. J. Schoenberg
Publisher: SIAM
ISBN: 9781611970555
Category : Mathematics
Languages : en
Pages : 131
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Book Description
As this monograph shows, the purpose of cardinal spline interpolation is to bridge the gap between the linear spline and the cardinal series. The author explains cardinal spline functions, the basic properties of B-splines, including B- splines with equidistant knots and cardinal splines represented in terms of B-splines, and exponential Euler splines, leading to the most important case and central problem of the book-- cardinal spline interpolation, with main results, proofs, and some applications. Other topics discussed include cardinal Hermite interpolation, semi-cardinal interpolation, finite spline interpolation problems, extremum and limit properties, equidistant spline interpolation applied to approximations of Fourier transforms, and the smoothing of histograms.
Author: Mathematics Research Center (United States. Army)
Publisher:
ISBN:
Category : Applied mathematics
Languages : en
Pages : 422
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Book Description
Author: Boor
Publisher: Springer Science & Business Media
ISBN: 1489904336
Category : Science
Languages : en
Pages : 445
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Book Description
Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1896
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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: Gheorghe Micula
Publisher: Springer Science & Business Media
ISBN: 9401153388
Category : Mathematics
Languages : en
Pages : 622
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Book Description
The purpose of this book is to give a comprehensive introduction to the theory of spline functions, together with some applications to various fields, emphasizing the significance of the relationship between the general theory and its applications. At the same time, the goal of the book is also to provide new ma terial on spline function theory, as well as a fresh look at old results, being written for people interested in research, as well as for those who are interested in applications. The theory of spline functions and their applications is a relatively recent field of applied mathematics. In the last 50 years, spline function theory has undergone a won derful development with many new directions appearing during this time. This book has its origins in the wish to adequately describe this development from the notion of 'spline' introduced by 1. J. Schoenberg (1901-1990) in 1946, to the newest recent theories of 'spline wavelets' or 'spline fractals'. Isolated facts about the functions now called 'splines' can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J.
Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 494
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Book Description
Contains research articles on the development and analysis of numerical methods, including their convergence, stability, and error analysis as well as related results in functional analysis and approximation theory. Computational experiments and new types of numerical applications are also included.
