Kerr场中缓慢粒子的运动

本文用后－后牛顿近似讨论Ｋｅｒｒ场中缓慢粒子的运动，我们用Ｂｏｙｅｒ－Ｌｉｎｄｑｕｉｓｔ坐标，导出试验粒子的运动方程，把它与有心力场中粒子作二体运动之球坐标形式下的运动方程对比，得出由于Ｋｅｒｒ场的作用而引起的试验粒子的等效摄动加速度，利用球面三角公式把它换算到行星运动摄动方程的形状，对摄动方程进行积分，我们得出了试验粒子绕中心天体运动一周后粒子轨道根数的变化以及单位时间中轨道根数的平均变化，运用     

Fabric-diagram contour precision and size of counting element related to sample size by approximation theory methods

Density estimation on the unit sphere by kernel methods may be conceived as a process of approximation by singular integrals. This concept aids in the solution of the main problems concerning the contouring of fabric diagrams. The optimal size of the counting element in Schmidt's method with respect to the mean integrated square error (MISE)of the density estimation is given. It proved that the optimal size is not only a function of the sample size but seriously depends on the smoothness of the density of directions on the sphere. In the light of approximation theory the Schmidt method of contouring is qualified as a moving average process; an example of a more refined density estimator is given.     

Construction of ray synthetic seismograms using interpolation of travel times and ray amplitudes

The seismic wave field, in its high-frequency asymptotic approximation, can be interpolated from a low- to a high-resolution spatial grid of receivers and, possibly, point sources by interpolating the eikonal (travel time) and the amplitude. These quantities can be considered as functions of position only. The travel time and the amplitude are assumed to vary in space only slowly, otherwise the validity conditions of the theory behind would be violated. Relatively coarse spatial sampling is then usually sufficient to obtain their reasonable interpolation. The interpolation is performed in 2-D models of different complexity. The interpolation geometry is either 1-D, 2-D, or 3-D according to the source-receiver distribution. Several interpolation methods are applied: the Fourier interpolation based on the sampling theorem, the linear interpolation, and the interpolation by means of the paraxial approximation. These techniques, based on completely different concepts, are tested by comparing their results with a reference ray-theory solution computed for gathers and grids with fine sampling. The paraxial method holds up as the most efficient and accurate in evaluating travel times from all investigated techniques. However, it is not suitable for approximation of amplitudes, for which the linear interpolation has proved to be universal and accurate enough to provide results acceptable for many seismological applications.     

Management and Maintenance of Forestry:A Catastrophic Stochastic Analysis

In this paper, we have carried out a detailedstochastic analysis of the Ludwig-Jones–Holling modelpertaining to the occasional population burst ofthe spruce budworms in the coniferous forests of Canada.Our analysis explains the abrupt burst of the populationin the form of cusp catastrophe. A qualitative recipe hasbeen suggested for avoiding the catastrophe.     

插值算子H_（nr）（f，z）的一致逼近阶

本文分别对ｎ次单位根和Ｆｅｊｅｒ点引进一种有理型插值算子Ｈｎｒ（ｆ，ｚ）（ｒ≥１），然后给出该算子关于ｆ（ｚ）的一致逼近阶。     

昆明地面生物有效紫外辐照度的初步计算

近年来，大气平流层臭氧含量普遍呈下降趋势。这将对人类的生存环境构成极大威胁， 应当引起人们的高度重视。 其中，太阳紫外辐射是一大因素。 太阳紫外光（ UVB和UVA，尤其是波长为280～320 nm）对动植物生长及人类健康具有重要的生物学效应 。但太阳光在大气中的传输过程极其复杂，涉及到大气臭氧吸收、空气分子散射、 气溶胶颗粒以及云滴的散射等作用。 针对昆明地处低纬高原、季风云系影响显著等特点 ， 本文在同时考虑上述几种情况下， 用二流模式（two-stream model）方法对太阳紫外辐射传输问题进行了研究，得出了一些有意义的计算结果，并对其作了讨论。     

分区连续函数的Radon变换的高精度反演法

Ｒａｄｏｎ变换及其反演是ＣＴ技术的数学基础，常用的反演算法虽然在函数比较光滑的情况下都能获得较满意的结果，但当函数有较强的奇性时精度就比较差．对函数在每一子区域中是光滑，但在不同于区域交界处有间断的情况，本文给出了有高精度的反演算法．     

Time‐domain analysis of unbounded media using mixed‐variable formulations

Formulation of a matrix‐valued force–displacement relationship which can take radiation damping into account is of major importance when modelling unbounded domains. This can be done by means of fundamental solutions in space and time in connection with convolution integrals or by means of a frequency dependent boundary element representation, but for discrete frequencies Ω only. In this paper a method for interpolating discrete values of dynamic stiffness matrices by a continuous matrix valued rational function is proposed. The coupling between interface degrees of freedom is fully preserved. Another crucial point in soil–structure interaction analysis is how to implement an approximation in the spectral domain into a time‐domain analysis. Well‐known approaches for the scalar case are based on the partial‐fraction expansion of a scalar rational function. Here, a more general procedure, applicable to MDOF‐systems, for the transformation of spectral rational approximations into the time‐domain is introduced. Evaluation of the partial‐fraction expansion is avoided by using the so‐called mixed variables. Thus, unknowns in the time‐domain are displacements as well as forces. Copyright © 2001 John Wiley & Sons, Ltd.     

以广义Faber多项式零点为插值结点的Hermite插值多项式

本文以广义Faber多项式的零点作为插值结点,构造Hermite插值多项式,给出它的一致逼近阶和平均逼近阶。