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Numerical Integration with Derivatives
作者姓名:胡成
作者单位:Department of Mathematics, Southwest Jiaotong University, Chengdu 610031, China
摘    要:A new formula with derivatives for numerical integration was presented. Based on this formula and the Richardson extrapolafion process, a numerical integration method was established. It can converge faster than the Romberg's. With the same accuracy, the computation of the new numerical integration with derivatives is only half of that of Romberg's numerical integration.

关 键 词:集成方法  派生物  数字技术  外推过程
文章编号:1005-2429(2006)02-0200-05
收稿时间:2005-09-29

Numerical Integration with Derivatives
Hu Cheng.Numerical Integration with Derivatives[J].Journal of Southwest Jiaotong University,2006,14(2):200-204.
Authors:Hu Cheng
Abstract:A new formula with derivatives for numerical integration was presented. Based on this formula and the Richardson extrapolation process, a numerical integration method was established. It can converge faster than the Romberg's. With the same accuracy, the computation of the new numerical integration with derivatives is only half of that of Romberg's numerical integration.
Keywords:Derivafives  Richardson extrapolation process  Romberg integration method
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