A TWO-STAGE ALGORITHM OF NUMERICAL EVALUATION OF INTEGRALS IN NUMBER-THEORETIC METHODS

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.

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Bibliographic Details
Published in:Journal of computational mathematics 1999-05, Vol.17 (3), p.285-292
Main Authors: Fang, Kai-tai, Zheng, Zu-kang
Format: Article
Language:English
Subjects:
Baptists
Computational mathematics
Continuous functions
Mathematical integrals
Mathematical tables
Monte Carlo methods
Numerical integration
Rectangles
Research universities
Statistics
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Description
Summary: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:0254-9409
1991-7139