A quadrature formula of Clenshaw–Curtis type for the Gegenbauer weight-function

D.B. Hunter; H.V. Smith

首页> 外文期刊>Journal of Computational and Applied Mathematics >A quadrature formula of Clenshaw–Curtis type for the Gegenbauer weight-function

【24h】

A quadrature formula of Clenshaw–Curtis type for the Gegenbauer weight-function

机译：Gegenbauer权函数的Clenshaw–Curtis型求积公式

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We investigate a method for the numerical evaluation of integrals over [-1,1] of functions of the form (1-x~2)~(λ-1/2)f(x), based on approximating f(x) by a finite Chebyshev expansion. Error bounds are obtained, and the method is illustrated by an example.

机译：我们研究一种方法，用于对[1-，2]〜（λ-1/ 2）f（x）形式的函数的[-1,1]上的积分进行数值评估，方法是通过近似f（x）有限的切比雪夫展开式。获得误差范围，并通过示例说明该方法。

著录项

来源
《Journal of Computational and Applied Mathematics》 |2005年第2期|共12页
作者
D.B. Hunter; H.V. Smith;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Numerical integration; Gegenbauer weight-function; Clenshaw–Curtis quadrature; Chebyshev polynomials;

机译：数值积分;Gegenbauer权函数;Clenshaw-Curtis正交;Chebyshev多项式;
入库时间 2022-08-19 00:32:40

相似文献

外文文献
中文文献
专利

1. A quadrature formula of Clenshaw–Curtis type for the Gegenbauer weight-function [J] . D.B. Hunter, H.V. Smith Journal of Computational and Applied Mathematics . 2005,第2期

机译：Gegenbauer权函数的Clenshaw–Curtis型求积公式
2. Convergence properties of a quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight function [J] . Smith H. V. BIT numerical mathematics . 2015,第3期

机译：Gegenbauer权函数的Clenshaw-Curtis型正交公式的收敛性
3. The numerical evaluation of the error term in a quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight function [J] . H.V. Smith, D.B. Hunter BIT numerical mathematics . 2011,第4期

机译：Gegenbauer权函数的Clenshaw-Curtis型正交公式中误差项的数值评估
4. A Mixed Quadrature Rule by Blending Clenshaw-Curtis and Gauss-Legendre Quadrature Rules for Approximation of Real Definite Integrals in Adaptive Environment [C] . Rajani B. Dash, Debasish Das International MultiConference of Engineers and Computer Scientists;IAENG International Conference on Artificial Intelligence and Applications;IAENG International Conference on Bioinformatics;IAENG International Conference on Computer Science;IAENG International Conference on Data Mining and Applications;IAENG International Conference on Imaging Engineering;IAENG International Conference on Communication Systems and Applications;IAENG International Conference on Internet Computing and Web Services;IAENG International Conference on Software Engineering;IAENG International Conference on Control and Automation;IAENG International Conference on Electrical Engineering;IAENG International Conference on Electrical Engineering Special Session;IAENG International Conference on Industrial Engineering;IAENG International Conference on Industrial Engineering Special Session;IAENG International Conference on Operations Research;IAENG International Conference on Scientific Computing . 2011

机译：通过混合Clenshaw-Curtis和Gauss-Legendre正交规则进行混合正交规则，以便近似自适应环境中真正的确定积分
5. Best quadrature formulas, mixture of normals approximation and state -space models [D] . Xing, Baifang 2004

机译：最佳正交公式，法线近似和状态空间模型的混合
6. A systematic comparison between infant formula compositions using the Bray-Curtis Similarity Index [O] . Sameer Al-Abdi, Abdullah Aljughaiman, Jaber Alrashidi, 2020

机译：使用Bray-Curtis相似指数的婴儿配方食品成分之间的系统比较
7. A quadrature formula of Clenshaw–Curtis type for the Gegenbauer weight-function [O] . Hunter D.B., Smith H.V. 2005

机译：Gegenbauer权函数的Clenshaw–Curtis型求积公式
8. Automatic Quadrature with Conditionally Activated Extended Clenshaw-Curtis Rules. [R] . Adam, G., Nobile, A. 1988

机译：具有条件激活的扩展Clenshaw-Curtis规则的自动求积。

A quadrature formula of Clenshaw–Curtis type for the Gegenbauer weight-function

摘要

著录项

相似文献

相关主题

期刊订阅