复有理型插值一致逼近函数及其导数

本文研究在单位圆周{|z| =1}上一致逼近函数f(z)及其导数,利用Hermite插值中的基函数建立复有理型插值,并证明它们在{|z| =1}上分别一致收敛于f(z)或f′(z) ,给出了收敛速度.     

Energy-Conserving Lattice Boltzmann Thermal Model in Two Dimensions

A discrete velocity model is presented for lattice Boltzmann thermal fluid dynamics. This model is implemented and tested in two dimensions with a finite difference scheme. Comparison with analytical solutions shows an excellent agreement even for wide temperature differences. An alternative approximate approach is then presented for traditional lattice transport schemes     

双原子分子非谐振转波函数和能级

从双原子分子简谐势近似波函数出发,运用微扰理论计算出了双原子分子在非谐振转相互作用下的一级、二级近似能级和一级近似波函数.     

极小化完工时间和的有界批调度问题

考虑m台并行批加工同型机上n个带有释放时间的工件的调度问题,目标是极小化完工时间和.给出了一个多项时间近似方案.     

一阶捕食-被捕食系统的单调方法

本文利用单调逼近方法,研究带大小结构的捕食-被捕食系统的初边值问题,得到了系统解的存在唯一性,并且证明了序列是线性收敛的.     

Strong Connectivity of Polyhedral Complexes

A classical theorem of Robbins states that the edges of a graph may be oriented, in such a way that an oriented path exists between any source and destination, if and only if the graph is both connected and two-connected (it cannot be disconnected by the removal of an edge). In this paper, an algebraic version of Robbins' result becomes a lemma on Hilbert bases for free abelian groups, which is then applied to generalize his theorem to higher dimensional complexes. An application to cycle bases for graphs is given, and various examples are presented.     

A new approach to solution of the maxwell equations

The decomposition method [1–5] is applied to the Maxwell equations to obtain analytic approximations.     

Nearest interval approximation of a fuzzy number

The problem of the interval approximation of fuzzy numbers is discussed. A new interval approximation operator, which is the best one with respect to a certain measure of distance between fuzzy numbers, is suggested.     

概率约束随机规划的一种近似方法及其它的有效解模式

根据最小风险的投资最优问题，我们给出了一个统一的概率约束随机规划模型。随后我们提出了求解这类概率约束随机规划的一种近似算法，并在一定的条件下证明了算法的收敛性。此外，提出了这种具有概率约束多目标随机规划问题的一种有效解模型。     

类氢离子电子碰撞电离截面的扭曲波计算

在扭曲波库仑玻恩交换似近下用编制的计算程序计算了类氢离子Ｈｅ，Ｃ，Ｎｅ，Ｓｉ，Ｃａ，Ｆｅ的电子碰撞电离截面，并将结果与Ｙｏｕｎｇｅｒ的扭曲波结果作了比较。在２％以内本文的结果与Ｙｏｕｎｇｅｒ的结果一致。并详细研究了半经典交换势对电子碰撞电离截面的效应以及沿等电子数序列变化的规律