3维Maxwell方程局部1维多辛格式的能量恒等式

在理想导体边界条件下,对3维Maxwell方程的局部1维多辛Preissman格式的能量守恒性质进行研究.运用能量分析法推导了2个能量恒等式,这些恒等式说明了给出的格式在所定义的离散范数下是能量守恒和无条件稳定的,数值算例验证了结论的正确性.     

A neural network versus Black–Scholes: a comparison of pricing and hedging performances

An Erratum has been published for this article in Journal of Forecasting 22(6‐7) 2003, 551 The Black–Scholes formula is a well‐known model for pricing and hedging derivative securities. It relies, however, on several highly questionable assumptions. This paper examines whether a neural network (MLP) can be used to find a call option pricing formula better corresponding to market prices and the properties of the underlying asset than the Black–Scholes formula. The neural network method is applied to the out‐of‐sample pricing and delta‐hedging of daily Swedish stock index call options from 1997 to 1999. The relevance of a hedge‐analysis is stressed further in this paper. As benchmarks, the Black–Scholes model with historical and implied volatility estimates are used. Comparisons reveal that the neural network models outperform the benchmarks both in pricing and hedging performances. A moving block bootstrap is used to test the statistical significance of the results. Although the neural networks are superior, the results are sometimes insignificant at the 5% level. Copyright © 2003 John Wiley & Sons, Ltd.     

一个门限RSA密码体制

传统的门限RSA密码体制由于都是在环Zψ（n )上进行的，而会遇到固有的困难；Zψ（n ）不是域且ψ（n）必须保密，提出了一个新的门限RSA密码体制，通过数学变换克服了以上的困难，并且对它的安全性进行了简要分析。     

一维核废料污染问题的一个二阶格式

利用降价法研究了多孔介质中一维核废料污染问题，此模型由一非线性抛物－椭圆耦合偏微分方程组的初边值问题来描述，对此问题给出了一个关于时间和空间均具有二阶精度的差分格式，并进行了理论分析。     

Method of Homomorphic Encryption

The existing homomorphie eneryption scheme is based on ring of the integer, and the possible operators are restricted to addition and multiplication only. In this paper, a new operation is defined Similar Modul. Base on the Similar Modul, the number sets of the homomorphic encryption scheme is extended to real number, and the possible operators are extended to addition, subtraction, multiplication and division. Our new approach provides a practical ways of implementation because of the extension of the operators and the number sets.     

A New Integrated Design Method Based on Fuzzy Matter-Element Optimization

This paper puts forward a new integrated design met ho d based on fuzzy matter-element optimization.On the based of analyzing the mod el of multi-objective fuzzy matter-element , the paper defines the m atter-element weightily and changes solving multi-objective fuzzy optimization into solving dependent function K(x) of the single-objective optimization according to the optimization criterion. The paper particularly describes the realization approach of GA process of multi -objective fuzzy matter-eleme...     

基于广义混沌同步的数字图像隐藏方案

基于广义混沌同步理论，提出了一种适于网络图像传输的隐藏数字图像的安全通讯方案．构造了一个六维广义混沌同步系统作为新方案的加密器，理论分析和计算机模拟说明本方案具有较高的保真度和较强的抗破译能力．     

约束数据库中的函数依赖公理系统与设计理论

约束数据模型作为一种新的数据模型正受到广泛关注。为了约束数据库的应用，需要研究它的设计。为此本文对约束数据库中的函数依赖给出定义，并提出函数依赖的公理系统，证明了它的有效性和完备性；在此基础上完成了约束数据库设计的核心工作：把约束关系模式分解为3NF或BCNF的算法。     

水电工程规划设计方案的自动生成及评价

本文介绍了在水电工程规划设计时，如何利用三次自然样条插值函数在有限个方案的基础上自动生成无限多个方案，然后采用多目标综合决策模型在其中选择最优方案的一种方法．文中还给出了程序流程，并以某水电站正常蓄水位选择作为实例，对方法进行了验证，结果与专家决策完全吻合．     

无可信中心的(t,k)门限RSA数字签名体制

提出了一种新的不需要可信中心的门限数字签名方案.在k个成员组成的群组中,只有t个或t个以上成员才能够代表群组签名,而少于t个成员则不能代表群组签名.方案基于Boneh等学者的分布式RSA密钥产生协议和Shamir秘密共享方案而构建.签名过程分为四个阶段:系统初始化、生成个体签名、生成群签名以及签名验证.在系统的初始化阶段不需要可信中心的参与,并且个体签名的生成、群签名的生成和验证都可以方便地实现.通过对方案的安全性分析显示,个体签名和群签名都是不可伪造的,并且在整个签名过程中都没有系统秘密信息的泄漏.