关于多项式特征值的条件数

Tisseur(2000)研究了非齐次多项式特征值问题的条件数，所得结果的不足是对无穷特征值必须另外处理；Declieu和Tisseur(2003)运用微分几何方法研究了齐次多项式特征值问题的条件数，所得结果的不足之处是与系数矩阵的尺度化(scaling)有关。这两种条件数都有各自的应用范围。本文基于投影尺度引入齐次多项式特征值问题的条件数，其优点是与系数矩阵的尺度化无关，因而也许会有较广泛的应用。     

月壤的物理和机械性质

月壤是在O2、水、风和生命活动都不存在的情况下，由陨石和微陨石撞击、宇宙射线和太阳风轰击、月表温差导致岩石热胀冷缩破碎等因素的共同作用下形成的。月壤独特的形成过程，加上独特的月表环境，使月壤在粒度分布、颗粒形态、颗粒比重、孔隙比和孔隙率、电性和电磁性质、压缩性、抗剪性、承载力等方面均与地球土壤存在较大差异，这些参数的平均值和最佳估计值，可以作为月表机械设计和操作、宇航员装备设计、月球着陆场选址的主要依据，对月球资源开发和利用以及月球基地建设具有极其重要的意义。     

大尺度流域含水层参数值分布的反演法

大尺度流域的水文地质参数的分布特征是一个困难的研究课题.提出一个新的直接反演法用于推算大流域的含水层参数值的分布.此模型的有效性在日本关东流域的应用得到了验证.     

A Time-Transformed Leapfrog Scheme

We present a time-transformed leapfrog scheme combined with the extrapolation method to construct an integrator for orbits in N-body systems with large mass ratios. The basic idea can be used to transform any second-order differential equation into a form which may allow more efficient numerical integration. When applied to gravitating few-body systems this formulation permits extremely close two-body encounters to be considered without significant loss of accuracy. The new scheme has been implemented in a direct N-body code for simulations of super-massive binaries in galactic nuclei. In this context relativistic effects may also be included.     

Scaling of response spectrum and duration for aftershocks

Aftershocks have the potential to cause collapse of a structure that has been already damaged by the preceding main shock. Seismic safety of a structure should therefore be ascertained through a damage analysis using the anticipated main shock and few larger-aftershock motions. Simulation of aftershock motions needs characterization of the seismic hazard due to aftershocks, and therefore it will be useful to develop a conditional scaling model that can predict the response spectrum of an anticipated aftershock motion consistent with the design spectrum of the main shock motion anticipated at the same station. In this study an attempt is made to develop a conditional scaling model for the pseudo spectral velocity spectrum via linear regression analysis on the aftershock and main shock recordings for the 1999 Chi–Chi earthquake. It is shown that it may be possible to obtain a simpler and approximate version of the conditional model from an unconditional model. Damage-causing potential of a ground motion also depends on its strong motion duration (SMD) and therefore a conditional scaling model is developed for SMD of the aftershock motion in several narrow frequency-bands. The model is developed for the larger-aftershock motions and it is shown that a reasonable replacement of such a model may be obtainable directly from an unconditional model. Finally, a simple weighted averaging scheme is proposed to obtain the composite SMD from the SMDs for different frequency bands by using the pseudo spectral acceleration spectrum of the motion.     

地理国情普查基本统计实践与经验探讨

基于地理国情普查基本统计软件,利用地理国情普查数据,开展了基本统计试验,通过试验出现的问题,总结了基本统计工作中需要注意的事项包括统计分析前数据检查、数据预处理、坡度带分层及融合和成果质量检查等,避免出现统计错误,并提出了基本统计成果应与其他行业专题资料进行对比分析的建议,为地理国情普查基本统计工作提供了参考。     

一种基于嫦娥一号CCD影像的影像匹配方法

月球测绘是完成月球探测任务的基础保障。这里提出了一种适合于CE-1获取的CCD影像的多尺度约束自动匹配方法。首先利用SURF算子提取影像上特征点;然后进行基于准核线和最小欧式距离约束的影像匹配;最后采用随机采样算法对误匹配点进行剔除而得到同名点信息。实验结果表明,该匹配方法提取的同名点有利于CE-1月球影像DEM的生成。     

嫦娥3号巡视探测器桅杆的转动角度误差检校

嫦娥3号巡视探测器桅杆的展开机构、偏航机构和俯仰机构在转动过程中存在系统性的偏差,这些误差影响了巡视探测器导航定位、地形恢复和路径规划的精度.针对这一问题,文章提出了一种间接平差模型,通过真实数据试验证明该方法能够用于对嫦娥3号巡视探测器桅杆的转动角度误差进行检校,并且具有很高的精度和稳定性.     

Pixel Factory制作正射影像的应用探讨

通过Pixel Factory在一些大区域项目的高频率、高质量的使用,总结出了一套科学合理、高速高效的应用方法以及在应用过程中一些软件出现的普遍问题的解决办法。     

随机Dirichlet问题解的调和展开

针对重力学随机Dirichlet问题,通过适当地对边界检验函数的分解,并在随机边界样本空间中提取确定性部分的对偶基,本文将随机Dirichlet问题的一般解展开为一随机系数的调和级数形式。