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portada Hyperbolic Cross Approximation (Advanced Courses in Mathematics - crm Barcelona)
Type
Physical Book
Publisher
Year
2018
Language
English
Pages
232
Format
Paperback
ISBN13
9783319922393
Edition No.
1
Categories

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

Dinh Dũng (Author) · Birkhäuser · Paperback

Hyperbolic Cross Approximation (Advanced Courses in Mathematics - crm Barcelona) - Dinh Dũng

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Synopsis "Hyperbolic Cross Approximation (Advanced Courses in Mathematics - crm Barcelona)"

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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