Numerical Integration with Derivatives

作     者：胡成 Hu Cheng Department of Mathematics, Southwest Jiaotong University, Chengdu 610031, China

作者机构：Department of MathematicsSouthwest Jiaotong University Chengdu 610031China 

出 版 物：《Journal of Southwest Jiaotong University(English Edition)》 (西南交通大学学报（英文版）)

年 卷 期：2006年第14卷第2期

页      面：200-204页

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

主　　题：Derivafives Richardson extrapolation process Romberg integration method 

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.