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

IF 1.1 Q2 MATHEMATICS, APPLIED

Numerical Algebra Control and Optimization Pub Date : 2021-01-01 DOI:10.3934/naco.2021031

Sanjit Kumar Mohanty, R. B. Dash

引用次数: 2

Abstract

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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解析函数数值积分的Lobatto-Gaussian求积分规则

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Numerical Algebra Control and Optimization MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

期刊介绍： Numerical Algebra, Control and Optimization (NACO) aims at publishing original papers on any non-trivial interplay between control and optimization, and numerical techniques for their underlying linear and nonlinear algebraic systems. Topics of interest to NACO include the following: original research in theory, algorithms and applications of optimization; numerical methods for linear and nonlinear algebraic systems arising in modelling, control and optimisation; and original theoretical and applied research and development in the control of systems including all facets of control theory and its applications. In the application areas, special interests are on artificial intelligence and data sciences. The journal also welcomes expository submissions on subjects of current relevance to readers of the journal. The publication of papers in NACO is free of charge.