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.


Author: Josef Dick, Peter Kritzer, Friedrich Pillichshammer
Publisher: Springer
Published: 07/24/2023
Pages: 580
Binding Type: Paperback
Weight: 1.82lbs
Size: 9.21h x 6.14w x 1.21d
ISBN: 9783031099533