Lattice rules [Documento eletrónico] : numerical integration, approximation, and discrepancy / by Josef Dick, Peter Kritzer, Friedrich Pillichshammer
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 onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA297.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 96874 |
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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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