|
|||||
|
|
| Molodensky边值问题中解析延拓法g1项的小波算法 | |
| 引用本文： | 于锦海,朱灼文,彭富清.Molodensky边值问题中解析延拓法g1项的小波算法[J].地球物理学报,2001,44(1):112-119. |
| 作者姓名： | 于锦海 朱灼文 彭富清 |
| 作者单位： | 1. ##郑州测绘学院, 2. 郑州450052 3. 武汉测绘科技大学地学测量工程学院,武汉 430070 |
| 基金项目： | 中国人民解放军总参谋部测绘局资助项目 |
| 摘 要： | 运用小波分析理论研究了Molodensky边值问题的计算方法，论证了该类问题的计算对于精化重力场模型的意义，即可以放弃考虑地球密度的各种重力改正。针对解析延拓法，证明g1项奇异积分在Chauchy主值意义下的存在性。计算结果表明，该算法具有快速、准确的特征，特别适用大范围计算g1项的值，这为精化重力场提供了现实可能性。 |
| 关 键 词： | MOLODENSKY边值问题 奇异积分 小波分析 紧尺度函数 解析延拓法 重力场 大地测量 |
WAVELET ARITHMETIC OF g1-TERM IN MOLODENSKY'S BOUNDARY VALUE PROBLEM |
|
| YU JIN HAI ZHU ZHUO WEN PENG FU QING Zhengzhou Institute of Surveying and Mapping,Zhengzhou ,China Wuhan Scientific and Technological University of Surveying and Mapping,Wuhan ,China.WAVELET ARITHMETIC OF g1-TERM IN MOLODENSKY''''S BOUNDARY VALUE PROBLEM[J].Chinese Journal of Geophysics,2001,44(1):112-119. | |
| Authors: | YU JIN HAI ZHU ZHUO WEN PENG FU QING Zhengzhou Institute of Surveying and Mapping Zhengzhou China Wuhan Scientific and Technological University of Surveying and Mapping Wuhan China [ |
| Institution: | YU JIN HAI 1) ZHU ZHUO WEN 2) PENG FU QING 1) 1) Zhengzhou Institute of Surveying and Mapping,Zhengzhou 450052,China 2) Wuhan Scientific and Technological University of Surveying and Mapping,Wuhan 430070,China [ |
| Abstract: | An arithmetic of g 1 term in Molodensky's BVP is studied by means of wavelet analysis. It is important to proceed such study because of no requiring to do various corrections related with density of the earth.The existance of the strong singular integral g 1 term is proved under Chauchy's principal value meaning,and also the arithmetic is given. The obtained results show that the arithmetic has the properties of high speed and high accuracy.Particularly,the arithmetic can be used to evaluate g 1 term on large scale of range. |
| Keywords: | Molodensky's BVP Wavelet analysis Compact scaling function |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |