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Name: Lattice Rules : Numerical Integration, Approximation, and Discrepancy. 1st ed. 2022.
Price: 40091 JPY
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Author: Dick, Josef / Kritzer, Peter / Pillichshammer, Friedrich
ISBN: 978-3-031-09950-2

Lattice Rules : Numerical Integration, Approximation, and Discrepancy. 1st ed. 2022.

・ISBN 978-3-031-09950-2 hard EUR 149.99

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著者・編者	Dick, Josef / Kritzer, Peter / Pillichshammer, Friedrich,
シリーズ	Springer Series in Computational Mathematics
出版社	(Springer International Publishing AG, SZ)
出版年月	2022
ページ数	580 pp.
言語	ENG
ニュース番号	＜M25-5588＞

解説

Lattice rules are a powerful and popular form of quasi-Monte Carlo rules based on multidimensional integration lattices. This book provides a comprehensive treatment of the subject with detailed explanations of the basic concepts and the current methods used in research. This comprises, for example, error analysis in reproducing kernel Hilbert spaces, fast component-by-component constructions, the curse of dimensionality and tractability, weighted integration and approximation problems, and applications of lattice rules.