摘要
利用代数精度概念给出了带端点导数的梯形修正公式,并利用广义皮亚诺定理分析了该公式的截断误差,给出了相应的复化公式的收敛阶.数值算例验证了理论分析的正确性.
This paper aims to discuss the amended trapezoid formula with extreme point derivatives based on the concept of algebraic precision. By analyzing the truncation errors of this formula according to Peano＇s theorem, the relevant convergence order of the composed formula is obtained, and numerical examples illustrate the correctness of the theoretical analysis.
出处
《河南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第3期25-26,92,共3页
Journal of Henan Normal University(Natural Science Edition)
关键词
数值积分
梯形公式
代数精度
截断误差
收敛阶
numerical integration
trapezoid formula
algebraic precision
truncation error
convergence order
