Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (2): 270-275.

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Error Analysis on Corrector Formula for Rectangular Rule 

  

  1. 1. Department of Mathematics,Nanyang Institute of Technology  2. Department of Computer,Nayang Institute of Technology 
  • Received:2007-08-12 Online:2008-06-30 Published:2023-10-09
  • About author:XIAO Ze-chang(1962-), male, native of Nanyang, Henan, an associate professor of Nanyang Institute of Technology, engages in computational mathematics; DU Yue-peng(1965-), male, native of Nanyang, Henan, an associate professor of Nanyang Institute of Technology, engages in computational mathematics.

Abstract: This paper presents truncation errors among Corrector Formula for left Rectangular rule and Corrector Formula for middle Rectangular rule respectively. It also displays an analysis on convergence order of compound corrector formulas for rectangular rule. Examples of numerical calculation have validated theoretical analysis.

Key words: numerical integration, algebraic accuracy, corrector formula, truncation error;
convergence order