Skip to main content
SpringerLink
Log in
Birkhäuser

Modern Developments in Multivariate Approximation

5th International Conference, Witten-Bommerholz (Germany), September 2002

  • Conference proceedings
  • © 2003

Overview

Editors:
  1. Werner Haussmann

    1. Mathematisches Institut, Gerhard-Mercator-Universität Duisburg, Duisburg, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Kurt Jetter

    1. Institut für Angewandte Mathematik und Statistik, Universität Hohenheim, Stuttgart, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Manfred Reimer

    1. Fachbereich Mathematik, Universität Dortmund, Dortmund, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  4. Joachim Stöckler

    1. Fachbereich Mathematik, Universität Dortmund, Dortmund, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Provides an overview of state-of-the-art developments in a highly relevant field of applied mathematics with many links to computer science and geophysics

Part of the book series: International Series of Numerical Mathematics (ISNM, volume 145)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

About this book

This volume contains a selection of eighteen peer-reviewed articles that were presented at the 5th International Conference on Multivariate Approximation, held in Witten-Bommerholz in September 2002. The contributions cover recent developments of constructive approximation on manifolds, approximation by splines and kernels, subdivision techniques and wavelet methods.
The main topics are:
- applications of multivariate approximation in finance
- approximation and stable reconstruction of images, data reduction
- multivariate splines for Lagrange interpolation and quasi-interpolation
- radial basis functions
- spherical point sets
- refinable function vectors and non-stationary subdivision
- applications of adaptive wavelet methods
- blending functions and cubature formulae
- singularities of harmonic functions
The book provides an overview of state-of-the-art developments in a highly relevant field of applied mathematics, with many links to computerscience and geophysics.

Similar content being viewed by others

Keywords

Table of contents (18 papers)

  1. Front Matter

    Pages 1-20
    Download chapter PDF

  2. Multivariate Approximation Methods for the Pricing of Catastrophe—Linked Bonds

    • Hansjörg Albrecher, Jürgen Hartinger, Robert F. Tichy
    Pages 21-39

  3. Note on a Generalized Invariance Principle and its Relevance for Cap Discrepancy and Energy

    • Johann S. Brauchart
    Pages 41-55

  4. On Properties of Nonstationary Divided Difference Vector Subdivision Schemes

    • Maria Charina, Costanza Conti
    Pages 57-69

  5. Multivariate Balanced Vector-Valued Refinable Functions

    • Charles K. Chui, Qingtang Jiang
    Pages 71-102

  6. Transfinite Interpolation by Blending Functions, Best One-Sided L1-Approximation, and Cubature Formulae

    • Dimiter P. Dryanov
    Pages 103-123

  7. Refining Oscillatory Signals by Non—Stationary Subdivision Schemes

    • Nira Dyn, David LevinAriel Luzzatto
    Pages 125-142

  8. Asymptotic Error Expansions for Schoenberg Type Operators

    • Karol Dziedziul, Kurt Jetter
    Pages 143-152

  9. On the Approximation Order and Numerical Stability of Local Lagrange Interpolation by Polyharmonic Splines

    • Armin Iske
    Pages 153-165

  10. Isolated Singularities of Harmonic Functions

    • Lavi Karp, Harold S. Shapiro
    Pages 167-174

  11. Two Applications of Adaptive Wavelet Methods

    • Angela Kunoth
    Pages 175-201

  12. Almost Interpolation and Radial Basis Functions

    • Alain Le Méhauté
    Pages 203-214

  13. Fundamental Splines on Triangulations

    • GÜnther NÜrnberger, Frank Zeilfelder
    Pages 215-233

  14. Integer DCT—II by Lifting Steps

    • Gerlind Plonka, Manfred Tasche
    Pages 235-252

  15. Approximation of Density Functions and Reconstruction of the Approximant

    • Manfred Reimer
    Pages 253-261

  16. On Some Multivariate Quadratic Spline Quasi—Interpolants on Bounded Domains

    • Paul Sablonnière
    Pages 263-278

  17. How to Generate Smoother Refinable Functions from Given Ones

    • Tomas Sauer
    Pages 279-293

  18. Reconstructing Multivariate Functions from Large Data Sets

    • Holger Wendland
    Pages 295-308

  19. Three Scale Versus Matrix Refinement Equations

    • Georg Zimmermann
    Pages 309-319
Back to top

Editors and Affiliations

  • Mathematisches Institut, Gerhard-Mercator-Universität Duisburg, Duisburg, Germany

    Werner Haussmann

  • Institut für Angewandte Mathematik und Statistik, Universität Hohenheim, Stuttgart, Germany

    Kurt Jetter

  • Fachbereich Mathematik, Universität Dortmund, Dortmund, Germany

    Manfred Reimer, Joachim Stöckler

Bibliographic Information

  • Book Title: Modern Developments in Multivariate Approximation

  • Book Subtitle: 5th International Conference, Witten-Bommerholz (Germany), September 2002

  • Editors: Werner Haussmann, Kurt Jetter, Manfred Reimer, Joachim Stöckler

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8067-1

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkh�user Verlag P.O. Box 133, CH-4010 Basel, Switzerland 2003

  • Hardcover ISBN: 978-3-7643-2195-6Published: 24 October 2003

  • eBook ISBN: 978-3-0348-8067-1Published: 12 June 2019

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: XX, 299

  • Topics: Calculus of Variations and Optimal Control; Optimization

Publish with us

Policies and ethics

Back to top

Search

Navigation