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。     

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.     

简单热带海气耦合模型中不同扰动形式的作用

在局地热平衡情况下,将物理量先用韦伯函数展开,然后去掉相应分量的滤波方 法,讨论了简单热带海气耦合模型中不同形式扰动的作用和贡献,结果表明,在热带海气耦合 系统中,大气准定常 Ｒｏｓｓｂｙ波和海洋 Ｒｏｓｓｂｙ波对于耦合系统贡献较大,它们决定着耦合系统 与耦合扰动的性质,而大气准定常Ｋｅｌｖｉｎ波和海洋Ｋｅｌｖｉｎ波对于耦合系统贡献相对较小．     

Simulation of the full two rigid body problem using polyhedral mutual potential and potential derivatives approach

Herein we investigate the coupled orbital and rotational dynamics of two rigid bodies modelled as polyhedra, under the influence of their mutual gravitational potential. The bodies may possess any arbitrary shape and mass distribution. A method of calculating the mutual potential’s derivatives with respect to relative position and attitude is derived. Relative equations of motion for the two body system are presented and an implementation of the equations of motion with the potential gradients approach is described. Results obtained with this dynamic simulation software package are presented for multiple cases to validate the approach and illustrate its utility. This simulation capability is useful both for addressing questions in dynamical astronomy and for enabling spacecraft missions to binary asteroid systems.     

利用泥芯中稀土元素示踪青铜器的产地

从青铜器上所残留的陶范或泥芯出发，探讨利用泥芯示踪青铜器产地的可行性。采用等离子体发射光谱法测试了湖北、陕西、内蒙古和辽宁等地古代遗址出土陶范、泥芯等冶铸遗物的稀土元素，并分析比较了各自特征。在此基础上，对湖北枣阳九连墩和荆门左冢楚墓群出土青铜器上的泥芯进行稀土元素分析，为这些青铜器的铸造地提供信息。研究结果显示，各地陶范和泥芯的稀土元素特征有一定差异，通过分析青铜器上所残留的泥芯或陶范中稀土元素的地球化学特征，可以示踪古代青铜器的产地，即铸造地。     

半潜式起重平台系泊系统设计与优化研究

近年来,国内兴起了大力发展半潜式起重平台的势头,系泊系统的设计与优化是该类型平台开发中的关键问题之一。采用时域方法对半潜式起重平台系泊系统进行耦合动力分析,研究系泊系统主要参数对其动力响应特性的影响,并给出主要参数的设计优化流程,在此基础上,以能够满足安全校核且性能较优的系泊方案为目标,对该半潜式起重平台的系泊系统进行优化设计,并研究单根系泊缆发生破断对整个系泊系统的影响。结果表明:基于主要参数对系泊性能的影响规律,经优化设计得到的系泊方案,预留的安全欲度适中,能够保障半潜式起重平台在恶劣海况下的生存能力,同时具备较好的经济性。     

区域人地耦合系统脆弱性及其评价指标体系

从概念界定与目标定位入手,以气候变化和系统结构要素为分析框架,建立了包括敏感性、暴露性和适应性等三类指标要素和本底脆弱性、潜在脆弱性和现实脆弱性等三个评价层次的区域脆弱性评价系统,并以南方丘陵地区为例,针对泥石流、滑坡、干旱与洪涝等区域自然灾害,构建了水土流失敏感区的人地耦合系统脆弱性评价指标体系。作者认为,区域人地耦合系统脆弱性主要是针对全球气候变化扰动下与自然灾害有关的脆弱性,敏感性与易损性是其脆弱性的本质属性,敏感性、暴露性和适应性是脆弱性的系统要素。自然灾害频率指标可以作为反映灾害空间集聚性的区位暴露性指标,现实灾害度可以提供脆弱性评价因子厘定、指标权重确定、模型建立与阈值分析的结果验证。     

关于具二次约束最小二乘问题的敏度分析

本文系统地研究具二次约束最小二乘问题的敏度分析。首先给出长期方程唯一正根的上界和下界；然后证明割线法用于计算拉格朗日乘子时全局收敛；最后给出解的扰动界。     

Conditioning mean steady state flow on hydraulic head and conductivity through geostatistical inversion

Nonlocal moment equations allow one to render deterministically optimum predictions of flow in randomly heterogeneous media and to assess predictive uncertainty conditional on measured values of medium properties. We present a geostatistical inverse algorithm for steady-state flow that makes it possible to further condition such predictions and assessments on measured values of hydraulic head (and/or flux). Our algorithm is based on recursive finite-element approximations of exact first and second conditional moment equations. Hydraulic conductivity is parameterized via universal kriging based on unknown values at pilot points and (optionally) measured values at other discrete locations. Optimum unbiased inverse estimates of natural log hydraulic conductivity, head and flux are obtained by minimizing a residual criterion using the Levenberg-Marquardt algorithm. We illustrate the method for superimposed mean uniform and convergent flows in a bounded two-dimensional domain. Our examples illustrate how conductivity and head data act separately or jointly to reduce parameter estimation errors and model predictive uncertainty.This work is supported in part by NSF/ITR Grant EAR-0110289. The first author was additionally supported by scholarships from CONACYT and Instituto de Investigaciones Electricas of Mexico. Additional support was provided by the European Commission under Contract EVK1-CT-1999-00041 (W-SAHaRA-Stochastic Analysis of Well Head Protection and Risk Assessment).