Hyperbolic Cross Approximation (Advanced Courses in Mathematics - CRM Barcelona) - Softcover

Dũng, Dinh; Temlyakov, Vladimir; Ullrich, Tino

Softcover

ISBN 10: 3319922394 ISBN 13: 9783319922393

Publisher: Birkhäuser, 2018

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.

About this title

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.

From the Back Cover

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.

Edition details

• Publisher: Birkhäuser
• Publication date: 2018
• Language: English
• ISBN 10: 3319922394
• ISBN 13: 9783319922393
• Binding: Paperback
• Edition number: 1
• Number of pages: 229
• Editor: Tikhonov Sergey