基于F-范数的不确定性平差模型的解算方法     

鲁铁定  朱国红 《大地测量与地球动力学》2018,38(6):557-561

为提高基于F-范数的不确定性平差模型的解算效率，给出直接迭代算法进行参数估计。该算法无需SVD，解算过程简单且易于编程计算，同时给出迭代不收敛时的SVD-解方程算法。二元线性拟合及沉降观测AR模型的算例结果表明，这2种算法正确可行，与SVD-迭代算法具有等价性。当迭代收敛时，宜使用直接迭代算法，收敛速度更快，解算效率更高；当迭代不收敛时，可釆用SVD-解方程算法。  相似文献   

复杂模型重力位场快速正反演方法及应用     

李庆春  潘作枢 《地球科学与环境学报》1990,(4)

提要 本文详细讨论了一种三维重力位场快速正反演方法。作者在前人工作的基础上,对算法作了行之有效的改进,通过对反演中的不稳定因素进行各种理论模型试算,得出保证迭代反演稳定收敛的准则,编制出可在微型机IBM—PC上运行的人机对话式自动正反演程序。本文还对各种不均质模型进行了模似计算并将该方法应用于某含油气沉积盆地的双层界面构造研究,揭示出了储油有利地段。  相似文献   

Solution of an unstable axisymmetric Cauchy–Poisson problem of dispersive water waves for a spectrum with compact support     

T.S. Jang  S.H. Kwon  B.J. Kim 《Ocean Engineering》2007,34(5-6):676-684

 It has been known that the axisymmetric Cauchy–Poisson problem for dispersive water waves is well posed in the sense of stability. Thereby time evolution solutions of wave propagation depend continuously on initial conditions. However, in this paper, it is demonstrated that the axisymmetric Cauchy–Poisson problem is ill posed in the sense of stability for a certain class of initial conditions, so that the propagating solutions do not depend continuously on the initial conditions. In order to overcome the difficulty of the discontinuity, Landweber–Fridman's regularization, famous and well known in applied mathematics, are introduced and investigated to learn whether it is applicable to the present axisymmetric wave propagation problem. From the numerical experiments, it is shown that stable and accurate solutions are realized by the regularization, so that it can be applicable to the determination of the ill-posed Cauchy–Poisson problem.  相似文献   

海水中A3钢样阴极保护电化学场的二维有限元计算     

王在峰  孙虎元  孙立娟 《海洋科学》2006,30(7):38-42

有限元法已被证明是计算阴极保护场中电位、电流密度分布的有效方法。作者建立了二维的有限元数学模型,并讨论了模型中电化学场的非线性边界条件的处理和非线性方程组的迭代法解法。用构建的模型对简单的阴极保护模拟体系进行了分析,得出了较合理的结果。  相似文献   

关于GAOR、GSSOR的特征值关系式     

李瑞明 《中国海洋大学学报(自然科学版)》1997,(1)

对两种广义迭代方法ＧＡＯＲ和ＧＳＳＯＲ分别导出了其迭代矩阵和Ｊａｃｏｂｉ迭代矩阵的特征值之间的关系式，这些结果推广了已有的结果  相似文献   

一种新型遥感影像快速匹配算法(英文)     

Jin Liu  Li Yan 《地球空间信息科学学报》2008,11(3):197-200

An iterative algorithm to calculate mutual correlation using hierarchical key points and the search space mark principle is proposed. An effective algorithm is designed to improve the matching speed. By hierarchical key point algorithm and mutual correlation coefficients of the matching images, the important points can be iteratively calculated in the images hierarchically, and the correlation coefficient can be obtained with satisfactory precision. Massive spots in the parameter space which are impossible to match can be removed by the search space mark principle. Two approximate continuities in the correlation image matching process, the image gray level distribution continuity and the correlation coefficient value in the parameter space continuity, are considered in the method. The experiments show that the new algorithm can greatly enhance matching speed and achieve accurate matching results.  相似文献   

Numerical simulation of a stratigraphic model     

Véronique Gervais  Roland Masson 《Computational Geosciences》2008,12(2):163-179

A multi-lithology diffusive stratigraphic model is considered, which simulates at large scales in space and time the infill of sedimentary basins governed by the interaction between tectonics displacements, eustatic variations, sediment supply, and sediment transport laws. The model accounts for the mass conservation of each sediment lithology resulting in a mixed parabolic, hyperbolic system of partial differential equations (PDEs) for the lithology concentrations and the sediment thickness. It also takes into account a limit on the rock alteration velocity modeled as a unilaterality constraint. To obtain a robust, fast, and accurate simulation, fully and semi-implicit finite volume discre tization schemes are derived for which the existence of stable solutions is proved. Then, the set of nonlinear equations is solved using a Newton algorithm adapted to the unilaterality constraint, and preconditioning strategies are defined for the solution of the linear system at each Newton iteration. They are based on an algebraic approximate decoupling of the sediment thickness and the concentration variables as well as on a proper preconditioning of each variable. These algorithms are studied and compared in terms of robustness, scalability, and efficiency on two real basin test cases.  相似文献   

基于ICCP算法的重力辅助惯性导航   总被引：7，自引：0，他引：7  

王志刚  边少锋 《测绘学报》2008,37(2):0-249

迭代最近等值线算法(ICCP)是一种重要的匹配导航算法,文中首先介绍ICCP算法的基本原理,随后在0.2′×0.2′重力异常数据库的基础上,利用ICCP算法进行仿真计算得到最佳匹配位置。最后为了验证匹配位置是否可用于修正惯导误差,提出将匹配位置误差作为观测量,用卡尔曼滤波对惯导系统误差进行最优估计。由最后的仿真结果可以看出,ICCP算法可有效抑制惯导纬度误差的增长,且最大纬度误差不超过2,′以匹配位置误差作为观测量可以用来估计惯导方位误差角。  相似文献   

On the connection among three classical mechanical problems via the hypercomplex KS-transformation     

Maria Dina Vivarelli 《Celestial Mechanics and Dynamical Astronomy》1990,50(2):109-124

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迭代折射静校正技术在鄂北地震资料处理中的应用     

许冬梅  曲安江  冯和平  闫立志 《物探与化探》2005,29(3):261-264

在低速层速度(地表直达波)已知的条件下,利用生产炮初至信息,用加权最小平方法和共轭梯度法建立的折射静校正数学模型,迭代求取长波长、短波长静校正量,在解决鄂尔多斯盆地北部的虚假小幅度构造问题及改善剖面质量方面取得了明显的效果。  相似文献