Approximation by Spline Functions

Released on by Günther Nürnberger
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  • Approximation by Spline Functions Book Detail

  • Author : Günther Nürnberger
  • Release Date : 2013-11-20
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 244
  • ISBN 13 : 9783642647994
  • File Size : 48,48 MB
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Approximation by Spline Functions by Günther Nürnberger PDF Summary

Book Description: 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.

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Approximation by Spline Functions

Approximation by Spline Functions

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Splines play an important role in applied mathematics since they possess high flexibility to approximate efficiently, even nonsmooth functions which are given e

Approximation Theory and Spline Functions

Approximation Theory and Spline Functions

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A NATO Advanced Study Institute on Approximation Theory and Spline Functions was held at Memorial University of Newfoundland during August 22-September 2, 1983.

Spline Functions: Basic Theory

Spline Functions: Basic Theory

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This classic work continues to offer a comprehensive treatment of the theory of univariate and tensor-product splines. It will be of interest to researchers and