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

D?ng, Dinh; Temlyakov, Vladimir; Ullrich, Tino

ISBN 10: 3319922394 / ISBN 13: 9783319922393

Editore: Birkhäuser, 2018

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pp. 229.

Codice articolo 383267495

Dati bibliografici

• Titolo: Hyperbolic Cross Approximation (Advanced Courses in Mathematics - CRM Barcelona)
• Editore: Birkhäuser
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 3319922394
• ISBN 13: 9783319922393
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

Dinh Dung 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.