Stability of lattice rules and polynomial lattice rules constructed by the component-by-component algorithm-Reference-Cited by-同舟云学术

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Stability of lattice rules and polynomial lattice rules constructed by the component-by-component algorithm

Published:2021-01 Issue: Volume:382 Page:113062
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Dick Josef,Goda Takashi^ORCID

Funder

Australian Research Council

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference27 articles.

1. Random Number Generation and Quasi-Monte Carlo Methods;Niederreiter,1992

2. Lattice Methods for Multiple Integration;Sloan,1994

3. Digital Nets and Sequences: Discrepancy Theory and Quasi-Monte Carlo Integration;Dick,2010

4. High-dimensional integration: The quasi-Monte Carlo way;Dick;Acta Numer.,2013

5. Introduction to Quasi-Monte Carlo Integration and Applications;Leobacher,2014

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1. A Universal Median Quasi-Monte Carlo Integration;SIAM Journal on Numerical Analysis;2024-02-16

2. Optimal Algorithms for Numerical Integration: Recent Results and Open Problems;Springer Proceedings in Mathematics & Statistics;2024

3. On a Reduced Component-by-Component Digit-by-Digit Construction of Lattice Point Sets;Uniform distribution theory;2023-07-01

4. A note on concatenation of quasi-Monte Carlo and plain Monte Carlo rules in high dimensions;Journal of Complexity;2022-10

5. Construction-Free Median Quasi-Monte Carlo Rules for Function Spaces with Unspecified Smoothness and General Weights;SIAM Journal on Scientific Computing;2022-08

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