Advanced Courses in Mathematics - CRM Barcelona

Hyperbolic Cross Approximation

Authors: Dũng, Dinh, Temlyakov, Vladimir, Ullrich, Tino

Editors: Tikhonov, Sergey (Ed.)

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  • Covers both classical results from the 1960s and very recent results on high-dimensional approximation
  • Contains a number of short illustrative proofs
  • Provides the first comprehensive survey on hyperbolic cross approximation of the mixed smoothness classes of multivariate functions
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eBook $39.99
price for USA in USD (gross)
  • ISBN 978-3-319-92240-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA in USD
  • ISBN 978-3-319-92239-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This book provides a systematic survey of classical and recent results on hyperbolic cross approximation.
Motivated by numerous applications, the last two decades have seen great success in studying multivariate approximation. Multivariate problems have proven to be considerably more difficult than their univariate counterparts, and recent findings have established that multivariate mixed smoothness classes play a fundamental role in high-dimensional approximation. The book presents essential findings on and discussions of linear and nonlinear approximations of the mixed smoothness classes. Many of the important open problems explored here will provide both students and professionals with inspirations for further research.


About the authors

Dinh Dũng is a Professor at the Vietnam National University, Vietnam.

Vladimir Temlyakov is a Professor at the University of South Carolina, CA, USA.

Tino Ullrich is a Professor at the Institute for Numerical Simulation in Bonn, Germany.

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook $39.99
price for USA in USD (gross)
  • ISBN 978-3-319-92240-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA in USD
  • ISBN 978-3-319-92239-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Hyperbolic Cross Approximation
Authors
Editors
  • Sergey Tikhonov
Series Title
Advanced Courses in Mathematics - CRM Barcelona
Copyright
2018
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-92240-9
DOI
10.1007/978-3-319-92240-9
Softcover ISBN
978-3-319-92239-3
Series ISSN
2297-0304
Edition Number
1
Number of Pages
XI, 218
Number of Illustrations
13 b/w illustrations, 11 illustrations in colour
Topics