摘要
给出了一种带端点导数的中矩形修正公式,并给出了该公式的截断误差,分析了相应的复化公式的收敛阶.复化带端点导数的中矩形修正公式,只比复化中矩形公式多计算两个端点的导数各一次,其收敛阶却比复化中矩形公式提高了2阶.数值算例验证了理论分析的正确性.
This tion error. It al gular modified paper presents a modified firmnula for mid-rectangle rule with endpoint derivatives and its truncaso displays an analysis on convergence order of compound formula. Though compound mid-rectan-formula with endpoint derivatives just calculates a newly-added derivative of the two endpoints for each time compared with compound mid-rectangular formula calculation, there are 2 more ranks of the convergence order in this modified formula. Examples of numerical calculation have validated theoretical analysis.
出处
《南阳师范学院学报》
CAS
2008年第9期18-20,共3页
Journal of Nanyang Normal University
关键词
数值积分
中矩形公式
代数精度
截断误差
收敛阶
numerical integration
mid-rectangle formula
algebraic accuracy
truncation error
convergence order
