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Approximation by Spline Functions

Approximation by Spline Functions

von Günther Nürnberger
Softcover - 9783642647994
53,49 €
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Beschreibung

Splines play an important role in applied mathematics since they possess high flexibility to approximate efficiently, even nonsmooth functions which are given explicitly or only implicitly, e.g. by differential equations. The aim of this book is to analyse in a unified approach basic theoretical and numerical aspects of interpolation and best approximation by splines in one variable. The first part on spaces of polynomials serves as a basis for investigating the more complex structure of spline spaces. Given in the appendix are brief introductions to the theory of splines with free knots (an algorithm is described in the main part), to splines in two variables and to spline collocation for differential equations. A large number of new results presented here cannot be found in earlier books on splines. Researchers will find several references to recent developments. The book is an indispensable aid for graduate courses on splines or approximation theory. Students with a basic knowledge of analysis and linear algebra will be able to read the text. Engineers will find various pactical interpolation and approximation methods.

Details

Verlag Springer Berlin
Ersterscheinung 20. November 2013
Maße 24.4 cm x 17 cm
Gewicht 455 Gramm
Format Softcover
ISBN-13 9783642647994
Auflage Softcover reprint of the original 1st ed. 1989
Seiten 244

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