邓波, 朱灼文, 陆中. 重力学边值问题边界数据随机模型[J]. 武汉大学学报 ( 信息科学版), 2004, 29(1): 77-79.
引用本文: 邓波, 朱灼文, 陆中. 重力学边值问题边界数据随机模型[J]. 武汉大学学报 ( 信息科学版), 2004, 29(1): 77-79.
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DENG Bo, ZHU Zhuowen, LU Zhong. A Continuous Data Stochastic Model of Gravimetry Boundary Value Problems[J]. Geomatics and Information Science of Wuhan University, 2004, 29(1): 77-79.
Citation: DENG Bo, ZHU Zhuowen, LU Zhong. A Continuous Data Stochastic Model of Gravimetry Boundary Value Problems[J]. Geomatics and Information Science of Wuhan University, 2004, 29(1): 77-79.
shu

重力学边值问题边界数据随机模型

A Continuous Data Stochastic Model of Gravimetry Boundary Value Problems

    摘要
  • 摘要: 针对重力学边值问题,从理论上给出了处理连续数据边界条件的随机模型与数学方法。在广义函数的框架下,采用Wiener测度和Wiener积分的有关理论,建立了连续观测方程,同时给出了误差估计方法,并得出估计误差只与区域方差的总和有关的结论。

     

    Abstract: This paper tries to develop the theory of advanced GBVPs.It gives a stochastic model for processing the GBVP with continuous observation data, and establishes the continuous observation equation.And it can be found out that the error is dependent upon its range variance only.

     

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