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Record Nr. |
UNINA9910585773303321 |
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Autore |
Dick Josef |
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Titolo |
Lattice rules : numerical integration, approximation, and discrepancy / / Josef Dick, Peter Kritzer and Friedrich Pillichshammer |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022] |
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©2022 |
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ISBN |
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Descrizione fisica |
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1 online resource (584 pages) |
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Collana |
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Springer series in computational mathematics ; ; Volume 58 |
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Disciplina |
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Soggetti |
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Lattice theory |
Teoria dels reticles |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Sommario/riassunto |
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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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