Approximation of Quasi-Monte Carlo worst case error in weighted spaces of infinitely times smooth functions

Author:

Matsumoto Makoto,Ohori Ryuichi,Yoshiki Takehito

Funder

JSPS/MEXT

Program for Leading Graduate Schools, MEXT, Japan

JST CREST

Australian Research Councils Discovery Projects

Grant-in- Aid for JSPS Fellows

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference22 articles.

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

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

3. Lattice Methods for Multiple Integration;Sloan,1994

4. Uniform Distribution of Sequences;Kuipers,2006

5. Explicit constructions of quasi-Monte Carlo rules for the numerical integration of high-dimensional periodic functions;Dick;SIAM J. Numer. Anal.,2007

Cited by 2 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. A Universal Median Quasi-Monte Carlo Integration;SIAM Journal on Numerical Analysis;2024-02-16

2. 4. Recent advances in higher order quasi-Monte Carlo methods;Discrepancy Theory;2020-01-20

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