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This book provides an in-depth treatment of one of the latest installments in this long and ongoing story: sparse polynomial approximation methods. These methods have emerged as useful tools for various high-dimensional approximation tasks arising in a range of applications in computational science and engineering. It begins with a comprehensive overview of best s-term polynomial approximation theory for holomorphic, high-dimensional functions, as well as a detailed survey of applications to parametric diff

Find the book at the SIAM Bookstore Read a preview of the book on Google Books Resources MATLAB code The book contains many numerical examples, each accompanied by downloadable code. This is maintained by the authors in the GitHub repository

https://github.com/simone-brugiapaglia/sparse-hd-book

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