JACOBI PSEUDOSPECTRAL METHOD FOR FOURTH ORDER PROBLEMS

In this paper, we investigate Jacobi pseudospectral method for fourth order problems. We establish some basic results on the Jacobi-Gauss-type interpolations in non-uniformly weighted Sobolev spaces, which serve as important tools in analysis of numerical quadratures, and numerical methods of differential and integral equations. Then we propose Jacobi pseudospectral schemes for several singular problems and multiple-dimensional problems of fourth order. Numerical results demonstrate the spectral accuracy of these schemes, and coincide well with theoretical analysis.     

On the third largest Laplacian eigenvalue of a graph

In this article, a sharp lower bound for the third largest Laplacian eigenvalue of a graph is given in terms of the third largest degree of the graph.     

椭圆强非局域空间光孤子

对傍轴椭圆高斯光束在具有椭圆对称响应特性的强非局域非线性介质中的演化规律进行研究，得到了光束各参量演化的精确解析解，分析了单向空间光孤子和强非局域椭圆空间光孤子的形成条件，发现了椭圆光孤子的相移与介质响应函数的椭圆率有关. 关键词： 椭圆对称强非局域响应介质 椭圆强非局域空间光孤子 相移     

On Polynomial Functions over Finite Commutative Rings

Let R be an arbitrary finite commutative local ring. In this paper, we obtain a necessary and sufficient condition for a function over R to be a polynomial function. Before this paper, necessary and sufficient conditions for a function to be a polynomial function over some special finite commutative local rings were obtained.     

江汉平原上空QTEC变化特征的统计分析

提出了一种观测台网用多接收机性能一致性的标定方法，并利用江汉平原GPS接收台网的观测数据，分析了该地区上空QTEC的日变化、季节变化、年变化和逐年变化的统计特征．标定结果表明，不同接收机之间的仪器偏差是从双频GPS卫星信标推算QTEC的主要误差来源之一，必须校正．统计分析证实，江汉平原上空QTEC的日变化特征同时受电离层和等离子层控制，其年变化以半年周期为主，峰值和谷值分别出现在两分点和两至点附近，QTEC值的逐年变化从太阳活动峰年到低年逐年下降，与以太阳黑子数为代表的太阳活动密切相关．     

MODIS通道1和通道2大气订正的一种快速实用方法

提出了利用气象资料对MODIS影像进行大气校正的一种快速实用方法.读取MODIS前两个通道250min的反射率,采用常用的黑色目标扣除法(Dark-object subtraction)计算天空程辐射,通过卫星过境时刻的气象能见度和水汽资料计算大气透过率,最后推导出目标物的反射率.通过比较两个邻近日期MODIS影像校正前后的归一化植被指数(NDVI)值,得出利用本文提出的方法对MODIS进行大气校正所得到的NDVI值更接近实际情况.结果表明:利用气象能见度和水汽压可以对MODIS数据进行快速有效的大气校正.     

Computations of critical groups and applications to asymptotically linear wave equation and beam equation

In this paper, by using the Morse index theory for strongly indefinite functionals developed in [Nonlinear Anal. TMA, in press], we compute precisely the critical groups at the origin and at infinity, respectively. The abstract theorems are used to study the existence (multiplicity) of nontrivial periodical solutions for asymptotically wave equation and beam equation with resonance both at infinity and at zero.     

病毒感染群体动力学模型分析

本文构建并讨论了一类病毒感染的群体动力学模型,得到了模型存在轨道稳定周 期解的充分条件,较好地解释了在病毒持续感染者体内观察到的病毒载量波动现象.     

Multi-objectives fuzzy models for designing 3D trajectory in horizontal wells

In this paper, multi-objective models for designing 3D trajectory of horizontal wells are developed in a fuzzy environment. Here, the objectives of minimizing the length of the trajectory and the error of entry target point are fuzzy in nature. Some parameters, such as initial value, end value, lower bound and upper bound of the curvature radius, tool-face angle and the are length of each curve section, are also assumed to be vague and imprecise. The impreciseness in the above objectives have been expressed by fuzzy linear membership functions and that in the above parameters by triangular fuzzy numbers. Models have been solved by the fuzzy non-linear programming method based on Zimmermann [1] and Lee and Li [2]. Models are applied to practical design of the horizontal wells. Numerical results illustrate the accuracy and efficiency of the fuzzy models.