Numerical integration using local Taylor expansions in nodes
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摘要
In this paper we introduce a new formula for approximating the integration based on locally Taylor expansions in each one of the nodes and reduce the results in respect of difference equation. Finally some examples are given to illustrate the application of the formulae for comparison the results with other related formulae.
论文关键词：Equal coefficient quadrature rules,Numerical integration methods,Precision,The method of undetermined coefficient,The method of solving non-linear system
论文评审过程：Available online 19 March 2007.
论文官网地址：https://doi.org/10.1016/j.amc.2007.03.009
