A unified approach to Newton-Cotes quadrature formulae

El-Mikkawy M.

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A unified approach to Newton-Cotes quadrature formulae

机译：牛顿-科茨正交公式的统一方法

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In this paper the author introduces a new approach to obtain the Cotes numbers for both the open and closed Newton-Cotes quadrature formulae. He also introduces a new definition for the degree of exactness for a quadrature formula.. Some numerical results are presented. (C) 2002 Elsevier Science Inc. All rights reserved. [References: 6]

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《Applied mathematics and computation》 |2003年第3期|共11页
作者
El-Mikkawy M.;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Cotes numbers; Vandermonde matrix; Lagrange functions; Maple;

机译：科茨数;范德蒙矩阵;拉格朗日函数;枫;

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1. A unified approach to Newton-Cotes quadrature formulae [J] . El-Mikkawy M. Applied mathematics and computation . 2003,第2a3期

机译：牛顿-科茨正交公式的统一方法
2. An adaptive Stochastic Finite Elements approach based on Newton-Cotes quadrature in simplex elements [J] . Jeroen A. S. Witteveen, Alex Loeven, Hester Bijl Computers & Fluids . 2009,第6期

机译：基于单纯形元素牛顿-科茨正交的自适应随机有限元方法
3. Erratum to "A Newton-Cotes quadrature approach for solving the aerosol coagulation equation" [Atmospheric Environment 36(3), 583-589] [J] . Adrian Sandu Atmospheric environment . 2002,第12期

机译：勘误表“用于解决气溶胶凝结方程的牛顿-科茨正交方法” [大气环境36（3），583-589]
4. A study on error estimates of weighted Newton-Cotes quadrature formulae [C] . N. Kavitha, K. Thirumalai National Conference on Recent Trends in Mathematics its Applications . 2020

机译：加权牛顿 - COTES正交公式的误差估计研究
5. Prolate spheroidal wave functions, quadrature, interpolation, and asymptotic formulae. [D] . Xiao, Hong. 2001

机译：扁球面波函数，正交，插值和渐近公式。
6. Gaussian Quadrature Formulae for Arbitrary Positive Measures [O] . Andrew D. Fernandes, William R. Atchley 2006

机译：任意正测度的高斯正交公式
7. Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations [O] . Mohana Sundaram Muthuvalu, Elayaraja Aruchunan, Wei Sin Koh, 2014

机译：求解第一阶复合封闭式牛顿 - 码正交代数等分法的AOR方法的数值性能
8. COMPARISON OF SEVERAL ADAPTIVE QUADRATURE ROUTINES IN EVALUATING NEWTON-COTES DEFINITE INTEGRALS WITH PEAKED INTEGRANDS, [R] . hillstrom, k. e. 1975

机译：几种自适应正态程序在评估牛顿 - 直线积分与峰值积分时的比较，

A unified approach to Newton-Cotes quadrature formulae

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