Asymptotic Behaviors of Intermediate Points in the Remainder of the Euler-Maclaurin Formula [PDF]
Abstract and Applied Analysis, 2010 The Euler-Maclaurin formula is a very useful tool in calculus and numerical analysis. This paper is devoted to asymptotic expansion of the intermediate points in the remainder of the generalized Euler-Maclaurin formula when the length of the integral ...
Aimin Xu, Zhongdi Cen
doaj +2 more sources
, 2018 There have been many attempts of understanding graph structures by investigating graph entropies. In this article we investigate approximations for von Neumann and Rényi-α entropies of paths and rings, using the Euler-Maclaurin summation formula.
da Providência, João P. +4 more
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Numerical quadrature methods for singular and nearly singular integrals [PDF]
, 2001 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis is concerned with the development, design, and analysis of simple and efficient numerical quadrature methods for integrals on finite intervals ...
Chunrungsikul, Sumlearng
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Darboux's Formula with Integral Remainder of Functions with Two Independent Variables [PDF]
, 2003 In the article, the noted Darboux’s formula of functions with single variable is generalized to that of functions of two independent variables with integral remainder, some important special cases of Darboux’s formula of functions with two variables are ...
Qi, Feng, Luo, Qiu-Ming, Guo, Bai-Ni
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An Euler-MacLaurin formula for polygonal sums
, 2022 We prove an Euler-Maclaurin formula for double polygonal sums and, as a corollary, we obtain approximate quadrature formulas for integrals of smooth functions over polygons with integer vertices.
Brandolini, Luca
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Numerical Integration by Euler-Maclaurin Formula [PDF]
, 2016 application/pdfEuler-Maclaurin summation formula can be regarded as error evaluation with the value of integration and the value of the numerical integration by the trapezoidal rule.
加藤, 俊二 +3 more
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Numerical solution of weakly singular Fredholm integral equations via generalization of the Euler–Maclaurin summation formula [PDF]
, 2014 Since the classical Euler–Maclaurin summation formula may not be applied for approximating singular integrals, we can not use this formula for obtaining the numerical solution of weakly singular Fredholm integral equations.
Tohidi, Emran +2 more
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Euler-Savary's Formula for the Planar Curves in Two Dimensional Lightlike Cone [PDF]
, 2010 In this paper, we study the Euler-Savary's formula for the planar curves in the lightlike cone. We first define the associated curve of a curve in the two dimensional lightlike cone Q2:Then we give the relation between the curvatures of a base curve, a ...
ERGÄUT, Mahmut +1 more
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Analysis of Series and Products. Part 1: The Euler-Maclaurin Formula [PDF]
, 2021 –We explore the applications of the Euler–Maclaurin formula in analyzing functions expressed as infinite series and products. Three illustrative examples show the difficulties that may be encountered and the means by which these can be ...
Davies, Morris +2 more
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Another simpler proof of Euler-Maclaurin summation formula by the asymptotic expansion of numerical integration [PDF]
, 2000 The Euler-Maclaurin summation formula plays an important role when we yield the correction formulas of numerical integrations or when we make the Romberg integration list.
伊野瀬, 崇, 樋口, 功
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