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.
| Author: G?nther N?rnberger |
| Publisher: Springer |
| Publication Date: Nov 20, 2013 |
| Number of Pages: 244 pages |
| Binding: Paperback or Softback |
| ISBN-10: 3642647995 |
| ISBN-13: 9783642647994 |
