Increasing reliability of Gauss-Kronrod quadrature by Eratosthenes' sieve method

Gh. Adam; S. Adam

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Increasing reliability of Gauss-Kronrod quadrature by Eratosthenes' sieve method

机译：用Eratosthenes的筛法提高Gauss-Kronrod正交的可靠性

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摘要

The reliability of the local error estimates returned by the Gauss-Kronrod quadrature rules can be raised up to the theoretical 100% rate of success, under error estimate sharpening, provided a number of natural validating conditions are required. The self-validating scheme of the local error estimates, which is easy to implement and adds little supplementary computing effort, strengthens considerably the correctness of the decisions within the automatic adaptive quadrature.

机译：如果需要许多自然验证条件，那么在误差估计锐化的情况下，可以将高斯-克朗罗德正交规则返回的局部误差估计的可靠性提高到理论上的100％成功率。本地误差估计的自验证方案易于实现，并且几乎没有增加辅助计算工作，从而大大增强了自动正交算法中决策的正确性。

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《Computer physics communications》 |2001年第3期|共17页
作者
Gh. Adam; S. Adam;
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正文语种 eng
中图分类计算机的应用;
关键词
numerical integration; Gauss-Kronrod quadrature; local error estimates; reliability;

机译：数值积分;Gauss-Kronrod正交;局部误差估计;可靠性;

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专利

1. Increasing reliability of Gauss-Kronrod quadrature by Eratosthenes' sieve method [J] . Gh. Adam, S. Adam Computer physics communications . 2001,第3期

机译：用Eratosthenes的筛法提高Gauss-Kronrod正交的可靠性
2. A reliability-based sieve technique: A novel multistage probabilistic methodology for the damage assessment of structures [J] . Jahangiri Milad, Hadianfard Mohammad Ali, Najafgholipour Mohammad Amir, Engineering Structures . 2021,第Jana1期

机译：基于可靠性的筛极技术：一种新的多级概率方法，用于结构的损伤评估
3. An improved sieve point method for the reliability analysis of structures [J] . Gang Liu, Kai Gao, S.S. Law Probabilistic engineering mechanics . 2020,第Octa期

机译：一种改进的结构可靠性分析方法
4. Analysis of Sieve of Eratosthenes method using MPI program over grid and cluster platforms using stastical DOE methodology [C] . 2010 IEEE International Conference on Computational Intelligence and Computing Research . 2010

机译：使用静态DOE方法在网格和集群平台上使用MPI程序分析Erasatosthenes方法的筛网
5. Methods and techniques for improving figure of merit for wide tuning range quadrature voltage controlled oscillators. [D] . El Gouhary, Amany. 2014

机译：用于改善宽调谐范围正交压控振荡器的品质因数的方法和技术。
6. Increasing the reliability of data analysis of functional magnetic resonance imaging by applying a new blockwise permutation method [O] . Daniela Adolf, Snezhana Weston, Sebastian Baecke, 2014

机译：通过应用新的分块排列方法提高功能磁共振成像数据分析的可靠性
7. Increasing reliability of Gauss-Kronrod quadrature by Eratosthenes' Sieve method [O] . Adam, G, Adam, S 2000

机译：用Eratosthenes的Sieve方法提高Gauss-Kronrod正交的可靠性

Increasing reliability of Gauss-Kronrod quadrature by Eratosthenes' sieve method

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