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Synopsis
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.
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About the Author
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.
"About this title" may belong to another edition of this title.
- PublisherBirkhäuser
- Publication date2018
- ISBN 10 3319922394
- ISBN 13 9783319922393
- BindingPaperback
- Edition number1
- Number of pages229
- EditorTikhonov Sergey
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Hyperbolic Cross Approximation
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Springer International Publishing Nov 2018, 2018
ISBN 10: 3319922394
ISBN 13: 9783319922393
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 232 pp. Englisch. Seller Inventory # 9783319922393
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