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Springer Proceedings in Mathematics & Statistics

Approximation Theory XVI

Nashville, TN, USA, May 19-22, 2019

Editors: Fasshauer, Gregory E., Neamtu, Marian, Schumaker, Larry (Eds.)

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  • Includes survey articles on nonstationary subdivision and Prony’s method
  • Includes 11 research papers on approximation theory
  • Covers both theory and applications of approximation theory
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  • ISBN 978-3-030-57464-2
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Hardcover $169.99
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About this book

These proceedings are based on the international conference Approximation Theory XVI held on May 19–22, 2019 in Nashville, Tennessee. The conference was the sixteenth in a series of meetings in Approximation Theory held at various locations in the United States.  Over 130 mathematicians from 20 countries attended.  The book contains two longer survey papers on nonstationary subdivision and Prony’s method, along with 11 research papers on a variety of topics in approximation theory, including Balian-Low theorems, butterfly spline interpolation, cubature rules, Hankel and Toeplitz matrices, phase retrieval, positive definite kernels, quasi-interpolation operators, stochastic collocation, the gradient conjecture, time-variant systems, and trivariate finite elements. The book should be of interest to mathematicians, engineers, and computer scientists working in approximation theory, computer-aided geometric design, numerical analysis, and related approximation areas.

About the authors

Gregory E. Fasshauer is Professor and Head of the Applied Mathematics and Statistics Department at the Colorado School of Mines. He is the author of two books on kernel-based approximation methods, and co-editor of three proceedings volumes. His research is concerned with the theory and applications of kernel-based approximation methods in approximation theory, numerical analysis, data fitting and machine learning.

Marian Neamtu is Professor and Chair of the Department of Mathematics at Vanderbilt University. His current research interests are in approximation theory, splines, geometric design, and numerical analysis.

Larry L. Schumaker is Stevenson Professor of Mathematics at Vanderbilt University.  He is a fellow of the AMS, a SIAM fellow, and a member of the Norwegian Academy of Sciences.  He is the author of three books on splines, and is a co-editor of over 40 proceedings volumes.  He continues to do research on splines and their applications.

Table of contents (13 chapters)

Table of contents (13 chapters)
  • Time-Variant System Approximation via Later-Time Samples

    Pages 1-9

    Aceska, Roza (et al.)

  • C1-Quartic Butterfly-Spline Interpolation on Type-1 Triangulations

    Pages 11-26

    Barrera, Domingo (et al.)

  • Approximation with Conditionally Positive Definite Kernels on Deficient Sets

    Pages 27-38

    Davydov, Oleg

  • Non-stationary Subdivision Schemes: State of the Art and Perspectives

    Pages 39-71

    Conti, Costanza (et al.)

  • Cubature Rules Based on Bivariate Spline Quasi-Interpolation for Weakly Singular Integrals

    Pages 73-86

    Falini, Antonella (et al.)

Buy this book

eBook $129.00
price for USA in USD
  • ISBN 978-3-030-57464-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Approximation Theory XVI
Book Subtitle
Nashville, TN, USA, May 19-22, 2019
Editors
  • Gregory E. Fasshauer
  • Marian Neamtu
  • Larry Schumaker
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
336
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-57464-2
DOI
10.1007/978-3-030-57464-2
Hardcover ISBN
978-3-030-57463-5
Series ISSN
2194-1009
Edition Number
1
Number of Pages
VIII, 253
Number of Illustrations
5 b/w illustrations, 36 illustrations in colour
Topics