Approximation by Spline Functions

Approximation by Spline Functions

von Günther Nürnberger
Taschenbuch - 9783642647994
85,55 €
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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 ofpolynomials 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 intwo 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 Heidelberg
Ersterscheinung November 2013
Maße 244 mm x 170 mm x 14 mm
Gewicht 455 Gramm
Format Taschenbuch
ISBN-13 9783642647994
Auflage Softcover reprint of the original 1st ed. 1989
Seiten 260

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