摘要
对一类数值积分的中点公式进行校正,并建立了复化的中点公式和复化的校正中点公式.对各个公式的截断误差和收敛性进行分析,实例表明,该算法在精度上明显优于原有公式.
A corrected midpoint formula is given for numerical integration,and a class of composite numerical integration methods based on midpoint formula and corrected midpoint formula are established.The expression of reminder term for each method and convergence property are investigated.Concrete examples show that the proposed methods are obviously superior to the original methods on algebraic accuracy.
出处
《西北师范大学学报（自然科学版）》
CAS
北大核心
2009年第6期19-22,25,共5页
Journal of Northwest Normal University(Natural Science)
关键词
数值积分
代数精度
校正中点公式
复化的校正中点公式
numerical integration
algebraic accuracy
corrected midpoint formula
composite corrected midpoint formula
