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Handbook of Splines

  • Book
  • © 1999

Overview

Authors:
  1. Gheorghe Micula

    1. University of Cluj-Napoca, Cluj-Napoca, Romania

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    You can also search for this author in PubMed   Google Scholar

  2. Sanda Micula

    1. Western Oregon University, Monmouth, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematics and Its Applications (MAIA, volume 462)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Spline Functions and the Representation of Linear Functionals

    • Gheorghe Micula, Sanda Micula
    Pages 1-78

  3. Multivariate Spline Functions

    • Gheorghe Micula, Sanda Micula
    Pages 79-102

  4. Nonlinear Sets of Spline Functions

    • Gheorghe Micula, Sanda Micula
    Pages 103-128

  5. Numerical Treatment of the Integral Equations

    • Gheorghe Micula, Sanda Micula
    Pages 129-178

  6. Numerical Solution of Ordinary Differential Equations

    • Gheorghe Micula, Sanda Micula
    Pages 179-234

  7. Splines and Finite Elements

    • Gheorghe Micula, Sanda Micula
    Pages 235-256

  8. Finite Element Method for Solution of Boundary Problems for Partial Differential Equations

    • Gheorghe Micula, Sanda Micula
    Pages 257-294

  9. Spline Functions in Computer Aided Geometric Design

    • Gheorghe Micula, Sanda Micula
    Pages 295-324

  10. From Spline to Fractals

    • Gheorghe Micula, Sanda Micula
    Pages 325-336

  11. Box Splines

    • Gheorghe Micula, Sanda Micula
    Pages 337-356

  12. Spline Wavelets

    • Gheorghe Micula, Sanda Micula
    Pages 357-382

  13. References

    • Gheorghe Micula, Sanda Micula
    Pages 383-600

  14. Back Matter

    Pages 601-606
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Keywords

About this book

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.

Authors and Affiliations

  • University of Cluj-Napoca, Cluj-Napoca, Romania

    Gheorghe Micula

  • Western Oregon University, Monmouth, USA

    Sanda Micula

Bibliographic Information

  • Book Title: Handbook of Splines

  • Authors: Gheorghe Micula, Sanda Micula

  • Series Title: Mathematics and Its Applications

  • DOI: https://doi.org/10.1007/978-94-011-5338-6

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1999

  • Hardcover ISBN: 978-0-7923-5503-8Published: 09 December 1998

  • Softcover ISBN: 978-94-010-6244-2Published: 08 November 2012

  • eBook ISBN: 978-94-011-5338-6Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XVI, 606

  • Topics: Mathematics, general

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