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外推算法在数值三重积分中的应用
  • 期刊名称：高校计算数学学报，第33卷4期（2011）， pp. 358—370
  • 时间：0
  • 分类：O221[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]东南大学数学系,南京210096, [2]淮海工学院计算机科学系,连云港222005
  • 相关基金：国家自然科学基金资助项目（10471023）.
  • 相关项目：分数阶偏微分方程初边值问题差分方法研究
中文摘要：

<正>1引言积分的计算是自然科学中的一个基本问题.当积分的精确值不能求出时,数值积分就变得越来越重要了.数值积分的基本思想是直接利用被积函数(及其导数)在若干点处的

英文摘要：

The composite trapezoid rule and the composite Simpson rule are derived for numerical triple integrals. The asymptotic truncation error estimates are presented. The composite trapezoid rule is second order convergent and the composite Simpson rule is fourth order convergent. The extrapolation algorithms are given for each method. The fourth order accurate approximation can be obtained with once extrapolation of the composite trapezoid rule. The sixth order accurate approximation can be arrived with once extrapolation of the composite Simpson rule. Two numerical examples are given to testify the validity of the theoretical results.

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分数阶偏微分方程初边值问题差分方法研究
期刊论文 32 著作 1
某些非线性发展方程高阶差分方法研究
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