Component-by-Component Digit-by-Digit Construction of Good Polynomial Lattice Rules in Weighted Walsh Spaces-Reference-Cited by-同舟云学术

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Component-by-Component Digit-by-Digit Construction of Good Polynomial Lattice Rules in Weighted Walsh Spaces

Published:2021-08-25 Issue: Volume: Page:
ISSN:0176-4276
Container-title:Constructive Approximation
language:en
Short-container-title:Constr Approx

Author:

Ebert Adrian,Kritzer Peter,Osisiogu Onyekachi,Stepaniuk Tetiana

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,General Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00365-021-09554-1.pdf

Reference24 articles.

1. Dick, J., Goda, T.: Stability of lattice rules and polynomial lattice rules constructed by the component-by-component algorithm. J. Comput. Appl. Math. 382, 113062 (2021)

2. Dick, J., Kuo, F.Y., Pillichshammer, F., Sloan, I.H.: Construction algorithms for polynomial lattice rules for multivariate integration. Math. Comput. 74, 1895–1921 (2005)

3. Dick, J., Kuo, F.Y., Sloan, I.H.: High-dimensional integration—the quasi-Monte Carlo way. Acta Numer. 22, 133–288 (2013)

4. Dick, J., Pillichshammer, F.: Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces. J. Complex. 21, 149–195 (2005)

5. Dick, J., Pillichshammer, F.: Digital Nets and Sequences: Discrepancy Theory and Quasi-Monte Carlo Integration. Cambridge University Press, Cambridge (2010)

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Construction of good polynomial lattice rules in weighted Walsh spaces by an alternative component-by-component construction;Mathematics and Computers in Simulation;2022-02

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