解析函数数值积分的Lobatto-Gaussian求积分规则

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.3934/naco.2021031

Sanjit Kumar Mohanty, R. B. Dash

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引用次数: 2

摘要

结合Lobatto六点变换规则和gaas - legendre五点变换规则，形成了一种精度均为9的正交规则。这样形成的混合规则精度为11。通过渐近误差估计，证明了正交规则的新颖性。在非自适应和自适应模式下，利用混合规则及其组成部分对一些测试积分进行了求值。结果表明，混合规律与理论预测一致，令人鼓舞。

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A quadrature rule of Lobatto-Gaussian for numerical integration of analytic functions

A novel quadrature rule is formed combining Lobatto six point transformed rule and Gauss-Legendre five point transformed rule each having precision nine. The mixed rule so formed is of precision eleven. Through asymptotic error estimation the novelty of the quadrature rule is justified. Some test integrals have been evaluated using the mixed rule and its constituents both in non-adaptive and adaptive modes. The results are found to be quite encouraging for the mixed rule which is in conformation with the theoretical prediction.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.