Bivariate Recursive Equations on Excess-of-loss Reinsurance

This paper investigates bivariate recursive equations on excess-of-loss reinsurance. For an insurance portfolio, under the assumptions that the individual claim severity distribution has bounded continuous density and the number of claims belongs to R1 （a, b） family, bivariate recursive equations for the joint distribution of the cedent＇s aggregate claims and the reinsurer＇s aggregate claims are obtained.     

Concentration factors for functions with harmonic bounded mean variation

We discuss determination of jumps for functions with generalized bounded variation. The questions are motivated by A. Gelb and E. Tadmor [1], F. Móricz [5] and [6] and Q. L. Shi and X. L. Shi [7]. Corollary 1 improves the results proved in B. I. Golubov [2] and G. Kvernadze [3]. Supported by NSFC 10671062.     

几种基于散乱数据拟合的局部插值方法

本文首先针对散乱数据拟合的Shepard方法,结合截断多项式、B样条基函数和指数函数来构造其权函数,使新的权函数具有更高的光滑度和更好的衰减性,并且其光滑性和衰减性可以根据实际需要自由调节,从而提高了曲面的拟合质量．同时还给出一种类似的局部插值方法．另外,本文还基于多重二次插值,结合多元样条的思想,给出了两个局部插值算法．该算法较好地继承了多重二次插值曲面的性质,从而保证了拟合曲面具有好地光顺性和拟合精度．曲面整体也具有较高的光滑性．     

A Relaxation Scheme for Solving the Boltzmann Equation Based on the Chapman-Enskog Expansion

Abstract In [16] a visco-elastic relaxation system, called the relaxed Burnett system, was proposed by Jinand Slemrod as a moment approximation to the Boltzmann equation. The relaxed Burnett system is weaklyparabolic, has a linearly hyperbolic convection part, and is endowed with a generalized eotropy inequality. Itagrees with the solution of the Boltzmann equation up to the Burnett order via the Chapman-Enskog expansion. We develop a one-dimensional non-oscillatory numerical scheme based on the relaxed Burnett system forthe Boltzmann equation. We compare numerical results for stationary shocks based on this relaxation scheme,and those obtained by the DSMC (Direct Simulation Monte Carlo), by the Navier-Stokes equations and bythe extended thermodynamics with thirteen moments (the Grad equations). Our numerical experiments showthat the relaxed Burnett gives more accurate approximations to the shock profiles of the Boltzmann equationobtained by the DSMC, for a range of Mach numbers for hypersonic flows, th     

Stability of tokamak plasmas with internal transport barriers against high n ideal magnetohydrodynamic ballooning mode

A ballooning mode equation for tokamak plasma, with the toroidicity and the Shafranov shift effects included, is derived for a shift circular flux tokamak configuration. Using this equation, the stability of the plasma configuration with an internal transport barrier （ITB） against the high n （the toroidal mode number） ideal magnetohydrodynamic （MHD） ballooning mode is analysed. It is shown that both the toroidicity and the Shaftanov shift effects are stabilizing. In the ITB region, these effects give rise to a low shear stable channel between the first and the second stability regions. Out of the ITB region towards the plasma edge, the stabilizing effect of the Shaftanov shift causes the unstable zone to be significantly narrowed.     

26Al的加速器质谱测量及其应用

26Al是一个在多个学科都非常有意义的放射性核素。主要介绍了国内外在利用加速器质谱技术测量26Al时所开展的各种测量方法、各自的优缺点和测量灵敏度，并介绍了目前利用^26Al在地球科学、生物医学、核物理以及天体物理等诸多方面的应用研究工作。     

强混合样本下回归加权估计的一致渐近正态性

在强混合样本下,讨论固定设计回归模型的加权函数估计的一致渐近正态性,给出一致渐近正态性的收敛速度,这个速度接近n-1／6．     

溶胀后的弹性印章进行毛细微模塑

用溶胀后的聚二甲基硅氧烷弹性印章进行毛细微模塑,得到了聚苯乙烯丙酮溶液的微四方点阵图案．较少的PS溶液滴加量会造成孤立不相连的微点阵图形．同时还获得了由于在收缩过程中各部分溶剂挥发速度不一造成的特殊的微点阵图案．     

掺Eu3+硅基材料的发光性质

通过溶胶－凝胶技术制备了掺Eu^3 的硅基材料并测试了其三维荧光光谱、激光谱和发射光谱，结果显示，最佳激发波波长为350nm,最强荧光波长为620nm；在350nm光激发下的发射光谱显示Eu^3 的特征发射光谱，产生4条谱带，分别是577nm(^5D0-^7F0)，588nm(^5D0-^7F1),596nm(^5D0-^7F1)和610nm(^5D0-^7F2)。     

浅谈物理教学改革的几点认识

围绕物理课程改革，中国物理学会前两届教学委员会曾举办过一系列研讨会，主题是基础物理教学的现代化和物理教育与科学素质培养．后来，又举办过两次会议，说明物理教学的改革在一步步地深化．笔者通过参加有关会议和亲身体验，对新情况下的物理教学有了新的理解．下面仅就我近来想到的、听到的，和被问到的问题，谈一些个人看法．