A note on equal coefficient quadrature rules

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摘要

In this paper we introduce an integration method with equal coefficient in the following form:∫abw(x)f(x)dx≃Cn∑i=1nf(xi).Then by using the formulas of Newton’s equations and degree of precision we introduce a method which express the nodes and coefficients in this integration formulas. Finally some examples are presented to illustrate the procedure.

论文关键词:Equal coefficients,Quadrature rules,Numerical integration methods,Degree of precision,The method of undetermined coefficient

论文评审过程:Available online 28 February 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2005.11.149