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Volume 17, Issue 3
A Two-Stage Algorithm of Numerical Evaluation of Integrals in Number-Theoretic Methods

Kaitai Fang & Zukang Zheng

J. Comp. Math., 17 (1999), pp. 285-292.

Published online: 1999-06

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  • Abstract

To improve the numerical evaluation of integrals in Number-Theoretic Methods, we give a two-stage algorithm. The main idea is that we distribute the points according to the variations of the quadrature on the subdomains to reduce errors. The simulations results are also given.

  • Keywords

Numerical integration, Monte Carlo method, Number-theoretic method.

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COPYRIGHT: © Global Science Press

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@Article{JCM-17-285, author = {Fang , Kaitai and Zheng , Zukang}, title = {A Two-Stage Algorithm of Numerical Evaluation of Integrals in Number-Theoretic Methods}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {3}, pages = {285--292}, abstract = {

To improve the numerical evaluation of integrals in Number-Theoretic Methods, we give a two-stage algorithm. The main idea is that we distribute the points according to the variations of the quadrature on the subdomains to reduce errors. The simulations results are also given.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9102.html} }
TY - JOUR T1 - A Two-Stage Algorithm of Numerical Evaluation of Integrals in Number-Theoretic Methods AU - Fang , Kaitai AU - Zheng , Zukang JO - Journal of Computational Mathematics VL - 3 SP - 285 EP - 292 PY - 1999 DA - 1999/06 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9102.html KW - Numerical integration, Monte Carlo method, Number-theoretic method. AB -

To improve the numerical evaluation of integrals in Number-Theoretic Methods, we give a two-stage algorithm. The main idea is that we distribute the points according to the variations of the quadrature on the subdomains to reduce errors. The simulations results are also given.

Fang , Kaitai and Zheng , Zukang. (1999). A Two-Stage Algorithm of Numerical Evaluation of Integrals in Number-Theoretic Methods. Journal of Computational Mathematics. 17 (3). 285-292. doi:
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