| 常用数学软件包中二重积分处理方法研究 |
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| 引用本文： | 朱天琪.常用数学软件包中二重积分处理方法研究[J].云南师范大学学报(自然科学版),2006,26(4):45-48. |
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| 作者姓名： | 朱天琪 |
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| 作者单位： | 北京交通大学理学院,北京,100044 |
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| 摘 要： | 目前常用数学软件包无法直接进行二重积分的运算。只能处理累次积分。难以处理复杂的积分区域，文章基于有关数学定理提出一种新型算法，通过对积分区域和边界条件进行判断和处理，实现二重积分与累次积分之间的转换，使常用数学软件包能够直接计算二重积分，从而简化运算过程，提高计算效率。
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| 关 键 词： | 二重积分 积分区域 累次积分 算法 |
| 文章编号： | 1007-9793(2006)04-0045-04 |
| 收稿时间： | 2006-03-17 |
| 修稿时间： | 2006年3月17日 |
Study of computation method of calculating double integral related with the general mathematic softwares |
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| ZHU Tian-qi.Study of computation method of calculating double integral related with the general mathematic softwares[J].Journal of Yunnan Normal University (Natural Sciences Edition),2006,26(4):45-48. |
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| Authors: | ZHU Tian-qi |
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| Institution: | School of Science, Beijing JiaoTong University, Beijing 100044, China |
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| Abstract: | Nowadays,almost all the general mathematic softwares can't directly calculate double integral,they only can be used to calculate repeated integral,the softwares can't recognize and deal with complicated domain of integration.In this paper,an algorithm is proposed for calculating double integral.It will accomplish transformation between double integral and repeated integral by judging and disposing the domain of integration and boundary condition,this transformation enables the computer to calculate double integral,and the calculation is simplified. |
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| Keywords: | double integral domain of integration repeated integral algorithm |
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