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Approximation Theory XIV: San Antonio 2013

  • Conference proceedings
  • © 2014

Overview

Editors:
  1. Gregory E. Fasshauer

    1. Department of Applied Mathematics, Illinois Institute of Technology, Chicago, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Larry L. Schumaker

    1. Department of Mathematics, Vanderbilt University, Nashville, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Features peer-reviewed contributions from international experts in approximation theory
  • Provides a resource for participants to get a broad view of current research in approximation theory
  • Papers will guide non-experts in the field to understand the relevant subareas and their relationships
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 83)

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Table of contents (23 papers)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. Isogeometric Method for the Elliptic Monge-Ampère Equation

    • Gerard Awanou
    Pages 1-13

  3. Dual Compatible Splines on Nontensor Product Meshes

    • L. Beirão da Veiga, A. Buffa, G. Sangalli, R. Vázquez
    Pages 15-26

  4. Multivariate Anisotropic Interpolation on the Torus

    • Ronny Bergmann, Jürgen Prestin
    Pages 27-44

  5. A Generalized Class of Hard Thresholding Algorithms for Sparse Signal Recovery

    • Jean-Luc Bouchot
    Pages 45-63

  6. On a New Proximity Condition for Manifold-Valued Subdivision Schemes

    • Tom Duchamp, Gang Xie, Thomas Yu
    Pages 65-79

  7. Wachspress and Mean Value Coordinates

    • Michael S. Floater
    Pages 81-102

  8. Hermite and Bernstein Style Basis Functions for Cubic Serendipity Spaces on Squares and Cubes

    • Andrew Gillette
    Pages 103-121

  9. Suitability of Parametric Shepard Interpolation for Nonrigid Image Registration

    • A. Ardeshir Goshtasby
    Pages 123-140

  10. Parabolic Molecules: Curvelets, Shearlets, and Beyond

    • Philipp Grohs, Sandra Keiper, Gitta Kutyniok, Martin Schäfer
    Pages 141-172

  11. Microlocal Analysis of Singularities from Directional Multiscale Representations

    • Kanghui Guo, Robert Houska, Demetrio Labate
    Pages 173-196

  12. Barycentric Interpolation

    • Kai Hormann
    Pages 197-218

  13. Numerical Determination of Extremal Points and Asymptotic Order of Discrete Minimal Riesz Energy for Regular Compact Sets

    • Manuel Jaraczewski, Marco RozgicÌ€, Marcus Stiemer
    Pages 219-237

  14. Eigenvalue Sequences of Positive Integral Operators and Moduli of Smoothness

    • T. Jordão, V. A. Menegatto, Xingping Sun
    Pages 239-254

  15. Reconstructing Multivariate Trigonometric Polynomials from Samples Along Rank-1 Lattices

    • Lutz Kämmerer
    Pages 255-271

  16. On Nondegenerate Rational Approximation

    • L. Franklin Kemp
    Pages 273-282

  17. Multivariate \(C^1\)-Continuous Splines on the Alfeld Split of a Simplex

    • Alexei Kolesnikov, Tatyana Sorokina
    Pages 283-294

  18. On Convergence of Singular Integral Operators with Radial Kernels

    • Sevilay Kırcı Serenbay, Özge DalmanoÄŸlu, Ertan Ä°bikli
    Pages 295-308

  19. Lower Bound on the Dimension of Trivariate Splines on Cells

    • Jianyun Jimmy Shan
    Pages 309-333

  20. One Characterization of Lagrange Projectors

    • Boris Shekhtman
    Pages 335-341
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Keywords

About this book

These proceedings were prepared in connection with the 14th International Conference on Approximation Theory, which was held April 7-10, 2013 in San Antonio, Texas. The conference was the fourteenth in a series of meetings in Approximation Theory held at various locations in the United States. The included invited and contributed papers cover diverse areas of approximation theory with a special emphasis on the most current and active areas such as compressed sensing, isogeometric analysis, anisotropic spaces, radial basis functions and splines. Classical and abstract approximation is also included. The book will be of interest to mathematicians, engineers\ and computer scientists working in approximation theory, computer-aided geometric design, numerical analysis and related application areas.

Editors and Affiliations

  • Department of Applied Mathematics, Illinois Institute of Technology, Chicago, USA

    Gregory E. Fasshauer

  • Department of Mathematics, Vanderbilt University, Nashville, USA

    Larry L. Schumaker

Bibliographic Information

  • Book Title: Approximation Theory XIV: San Antonio 2013

  • Editors: Gregory E. Fasshauer, Larry L. Schumaker

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-3-319-06404-8

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2014

  • Hardcover ISBN: 978-3-319-06403-1Published: 20 June 2014

  • Softcover ISBN: 978-3-319-34694-6Published: 03 September 2016

  • eBook ISBN: 978-3-319-06404-8Published: 02 June 2014

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: XIII, 395

  • Number of Illustrations: 45 b/w illustrations, 25 illustrations in colour

  • Topics: Approximations and Expansions

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