具有超幂收敛的正交

Discrete and Continuous Models and Applied Computational Science Pub Date : 2023-01-01 DOI:10.22363/2658-4670-2023-31-2-128-138

A. Belov, Maxim A. Tintul, V. S. Khokhlachev

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引用次数: 0

摘要

在许多物理和技术应用中都出现了正交的计算。提出了替换积分变量的方法，大大提高了平均值公式的精度。对于无穷光滑被积函数，收敛律具有超强的威力。它比幂律快得多，接近指数律。对于有界光滑积分，以可达到的最大精度阶实现幂收敛。

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Quadratures with super power convergence

The calculation of quadratures arises in many physical and technical applications. The replacement of integration variables is proposed, which dramatically increases the accuracy of the formula of averages. For infinitely smooth integrand functions, the convergence law becomes super power. It is significantly faster than the power law and is close to exponential one. For integrals with bounded smoothness, power convergence is realized with the maximum achievable order of accuracy.

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来源期刊

Discrete and Continuous Models and Applied Computational Science

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

10 weeks