关于电磁场的Feynman公式

在Ｆｅｙｎｍａｎ关于电磁场的教科书中，他给出了关于沿任意路径运动的电荷ｑ形成的意磁场公式，但它没有充足的论述，我们通过Ｍａｘｗｅｌｌ方为推导这一公式，这一推导基本上领事于δ函数的性质。     

一类并行隐式Runge-Kutta公式

本文针对多处理机系统构造了一类并行隐式Runge-Kutta公式,对2级Runge-Kutta公式给出具有4阶精度的公式族,并证明了它们的收敛性,进行稳定性分析。数值例子表明,该公式可以有效地数值求解较广泛类型的常微分方程初值问题。     

A bayesian forecasting model for sequential bidding

In this paper we consider the problem facing a company in selecting the values of bids to submit on a sequence of contracts put out to tender. A simple-to-implement Bayesian forecasting model is presented, based on a steady Dirichlet process whose states are indexed by the possible bid decisions open to the company. The model gives an explicit algorithm for calculating the state probabilities, needing only data on the lowest bid made by the company's competitors. The flexibility of the basic model makes it a potentially powerful forecasting system for use by companies bidding for contracts.     

具有一阶奇异性解的函数组的边值问题与奇异积分方程组

在光滑封闭曲线条件下，讨论了具有一阶奇性解的函数组的边值问题与奇异积分方程组的解法。推广了原有的结果．     

概率型算子在L_p(p≥1)空间中的渐近表示

研究概率型算子的渐近性质,建立了渐近公式发展了 R.A.Khan的结果.     

On the No-arbitrage Principle and Option Pricing in a Fuzzy Market

Discuss the no-arbitrage principle in a fuzzy market and present a model for pricing an option. Get a fuzzy price for the contingent claim in a market involving fuzzy elements, whose level set can be seen as the possible price level interval with given belief degree. Use fuzzy densit） function and fuzzy mean as evidence for such model. Also give an example for comparing the result of the model in this article and that of another pricing method.     

一类并行隐式Runge-Kutta方法的A稳定性分析

本文针对多处理机系统构造了一类并行隐式Runge—Kutta方法,给出了一个具有三阶精度的并行二级Runge—Kutta公式,并证明了该计算公式具有A稳定性,数值结果表明该计算公式对求解刚性常微分方程是有效的。     

R2中矩形区域上二阶椭圆型方程Neumann问题的广义格林函数

本文讨论二维空间R^2中不适定的矩形区域上二阶椭圆型方程的Neu—mann问题，定义了广义格林函数，并讨论了其正交性质。     

An only-once-sorting algorithm

This paper provides a new sorting algorithm called “Only-Once-Sorting” algorithm. Using a mathematical formula, this algorithm can put elements in the positions they should be stored only once, then compacts them. The algorithm completes sorting a sequence ofn elements in a calculation time of O(n). Xu Xusong: born in June 1945. Professor. Current research interest is in data structure and algorithm, information systems analysis and design     

用Runge-Lenz矢量推导Rutherford散射公式

用轨道方程推导卢瑟福散射公式是比较复杂的,而本文用Runge-Lenz矢量推导这个公式却很简单。