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portada Lattice Rules: Numerical Integration, Approximation, and Discrepancy
Type
Physical Book
Author
Publisher
Language
English
Pages
580
Format
Hardcover
Dimensions
23.4 x 15.6 x 3.3 cm
Weight
1.01 kg.
ISBN13
9783031099502
Categories

Lattice Rules: Numerical Integration, Approximation, and Discrepancy

Josef Dick (Author) · Friedrich Pillichshammer (Author) · Peter Kritzer (Author) · Springer · Hardcover

Lattice Rules: Numerical Integration, Approximation, and Discrepancy - Dick, Josef ; Kritzer, Peter ; Pillichshammer, Friedrich

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Synopsis "Lattice Rules: Numerical Integration, Approximation, and Discrepancy"

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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