Download or read book Lattice Rules written by Josef Dick and published by Springer Nature. This book was released on 2022-08-24 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.