Romberg integration:: A symbolic approach with mathematica

被引：0
|
作者：
Yazici, A [1 ]
Ergenç, T
Altas, I
机构：
[1] Atilim Univ, Comp Engn Dept, Ankara, Turkey
[2] Middle E Tech Univ, Dept Math, Ankara, Turkey
[3] Sch Informat Studies, Wagga Wagga, NSW, Australia
来源：
COMPUTATIONAL SCIENCE - ICCS 2003, PT I, PROCEEDINGS | 2003年 / 2657卷
关键词：
D O I：
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中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Higher order approximations of an integral can be obtained from lower order ones in a systematic way. For 1-D integrals Romberg Integration is an example which is based upon the composite trapezoidal rule and the well-known Euler-Maclaurin expansion of the error. In this work, Mathematica is utilized to illustrate the method and the underlying theory in a symbolic fashion. This approach seems plausible for discussing integration in a numerical computing laboratory environment.
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页码：691 / 700
页数：10
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