基于罗德里格矩阵的三维坐标转换方法

采用罗德里格矩阵公式,在不考虑尺度因子的情况下,建立了基于罗德里格矩阵的六参数坐标转换模型,推导了高精度参数初值计算方法,最小二乘迭代法平差公式。通过实测数据验证,通过实测数据计算,表明该算法具有精度高、稳定性强、适用性广等优点。     

稳健估计下转换参数系数矩阵定向改正的整体最小二乘

不同空间坐标系在进行坐标转换过程中,利用整体最小二乘(TLS)构建高斯-马尔科夫(Gauss-Markov)模型求解布尔莎-沃尔夫(Bursa-Wolf)七参数模型时,存在已知控制点含有粗差、模型系数阵固定常数参与残差改正的问题。通过对系数矩阵中含误差参数进行改正,并结合稳健估计的方法,对TLS进行迭代定权,解决了已知控制点粗差会对参数计算精度产生影响的问题,同时使得系数矩阵中非常数项得到精确的残差改正。本文通过实验数据证明,此方法可行并且解算精度更优。     

基于τ-p变换的地震道重构

基于τ-p变换原理,研究一种基于τ-p变换的地震数据重构方法,运用该方法对待重构道用零道替代,通过τ-p正反变换及一定的迭代处理实现地震道数据重构。理论模型与实际资料应用表明,基于τ-p变换的地震道重构方法效果明显,重构数据稳健。     

凸度量空间中渐近拟非扩张映象新的带误差的Ishikawa迭代逼近

在凸度量空间中，利用新的解析法，征明了由集合序列{On}产生的在多值渐近拟非扩张映象下的新的带误差的lshikawa迭代序列的收敛性。     

重力界面反演改进算法的比较与应用

为得到更接近地下真实分布的反演界面,笔者比较分析Parker-Oldenburg反演和改进迭代反演,发现改进迭代反演方法不仅可以避免计算放大项,而且能够得到更好结果。通过理论模型,对经典Parker-Oldenburg方法和改进迭代反演方法的计算速度、迭代收敛性和结果精确性进行比较,结果表明改进迭代反演方法在保证计算速度和迭代收敛的情况下,能获得更精确的地下界面结构。通过实际数据验证了改进迭代反演的有效性和实用性。     

空间直角坐标至两类常用坐标的快速变换

由空间直角坐标至站心极坐标的间接变换方法存在着使用复杂和不够直接快速的问题,该文提出了空间直角坐标至大地坐标快速变换的二维迭代方法;通过分析空间直角坐标与站心极坐标的几何关系,提出了站心极坐标直接变换的几何解析法。计算结果表明,当迭代停止条件采用空间点位误差限值10-5 m时,大地坐标变换的二维迭代法一般2次收敛;站心极坐标几何解析法与常规间接变换结果完全相同,验证了文中所提方法的正确性和快速性。     

用前期海温预报四川夏季气温的EOF迭代方案

应用ＥＯＦ（经验正交函数）迭代方案，考虑多时次历史资料，在全球海区海温与四川盆地气温非同步联系的基础上，以海温为预报因子进行了夏季气温的长期预报。结果表明：西太平洋高温区等关键海区海温的异常对未来四川盆地夏季气温变化有重要影响，由此建立的引入多时次海温的ＥＯＦ迭代长期温度预报方法，具有较强的预报能力     

Performance of Jacobi preconditioning in Krylov subspace solution of finite element equations

This paper examines the performance of the Jacobi preconditioner when used with two Krylov subspace iterative methods. The number of iterations needed for convergence was shown to be different for drained, undrained and consolidation problems, even for similar condition number. The differences were due to differences in the eigenvalue distribution, which cannot be completely described by the condition number alone. For drained problems involving large stiffness ratios between different material zones, ill‐conditioning is caused by these large stiffness ratios. Since Jacobi preconditioning operates on degrees‐of‐freedom, it effectively homogenizes the different spatial sub‐domains. The undrained problem, modelled as a nearly incompressible problem, is much more resistant to Jacobi preconditioning, because its ill‐conditioning arises from the large stiffness ratios between volumetric and distortional deformational modes, many of which involve the similar spatial domains or sub‐domains. The consolidation problem has two sets of degrees‐of‐freedom, namely displacement and pore pressure. Some of the eigenvalues are displacement dominated whereas others are excess pore pressure dominated. Jacobi preconditioning compresses the displacement‐dominated eigenvalues in a similar manner as the drained problem, but pore‐pressure‐dominated eigenvalues are often over‐scaled. Convergence can be accelerated if this over‐scaling is recognized and corrected for. Copyright © 2002 John Wiley & Sons, Ltd.     

VARIATIONAL ITERATION SOLVING METHOD FOR SEA-AIR OSCILLATOR MODEL OF INTERDECADAL CLIMATE FLUCTUATIONS

1IN T R O D U C T IO NInteractionsbetween the ocean and atmosphere con-tributeto climatefluctuationosver a broad spectrum oftime scales.Studiesof those interactionhsave farfo-cused on El Ni o-SouthernOscillation(ENSO)phe-nomenon thathas a period of3to4yea…     

Performance of a flux splitting scheme when solving the single-phase pressure equation discretized by MPFA

In this article we present a series of tests to study how well suited the TPFA coefficient matrix is as a preconditioner for the MPFA discrete system of equations in an iterative solver, using a flux splitting method. These tests have been conducted for single-phase flow for a wide range of anisotropy, heterogeneity, and grid skewness (mainly parallelogram grids). We use the K-orthogonal part of the MPFA transmissibilities for a parallelogram grid to govern the TPFA transmissibilities. The convergence of the flux splitting method is for each test case measured by the spectral radius of the iteration matrix.