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Lattice rules [Documento eletrónico] : numerical integration, approximation, and discrepancy / by Josef Dick, Peter Kritzer, Friedrich Pillichshammer

Main Author: Dick, JosefCoauthor: Kritzer, Peter, co-aut.;Pillichshammer, Friedrich, co-aut.Language: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Springer, 2022Description: XVI, 580 p. : il.ISBN: 978-3-031-09951-9.Series: Springer Series in Computational Mathematics, 58Subject - Topical Name: Teoria de Lattice | Análise numérica | Integração numérica | Informática, Matemática Online Resources:Click here to access online
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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.

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