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 。
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. [
出处
《地球物理学报》
SCIE
EI
CAS
CSCD
北大核心
2001年第1期112-119,共8页
Chinese Journal of Geophysics
基金
中国人民解放军总参谋部测绘局资助项目