战术弹道导弹落点预报的一种方法

根据椭圆弹道理论，提出了一种可以用于反战术弹道导弹作战的预测弹道及预报落点的方法，给出了算例，并分析了产生误差的原因和对预测结果的影响程度。     

VaR and ES for linear portfolios with mixture of elliptic distributions risk factors

In this paper, we generalize the Linear VaR method from portfolios with normally distributed risk factors to portfolios with mixture of elliptically distributed ones. We treat both the Expected Shortfall and the Value-at-Risk of such portfolios. Special attention is given to the particular case of a mixture of multivariate t-distributions. This is a part of J. SADEFO-KAMDEM PhD Thesis[12] of the Université de Reims, France . It has been presented at the workshop on modelling and computation in Financial Engineering at Bad Herrenalb, Germany May 6-8, 2003. The author is an associate professor at the Department of mathematics, université d’Evry Val d’Essonne.     

Stabilization techniques for spectral methods

We introduce a stabilized treatment of spectral methods. The condition number of the spectral systems is highly improved. Elliptic and biharmonic problems are considered. Suitable interpolants in the case of inhomogeneous Dirichlet boundary conditions are presented. For a direct solver the improvements with respect to rounding error propagation are numerically demonstrated.     

Analytical Calculation of Large-Scale Deflection of Pulse-Loaded Elliptic Plates

Large deflections of pulse-loaded elliptic and round plates made of hardenable elastoplastic materials are investigated analytically using an energy-based approach. Formulas that are convenient for engineering design have been derived.     

Spectral multidomain approximation of elliptic problems with mixed conditions on the interfaces

The multidomain technique for elliptic problems, that allows the fulfillment of the interface conditions by means of a suitable combination of the continuity of the solution and of its normal derivative, is considered. Some choices of this combination are investigated and, in particular, a choice that allows the solution of the multidomain problem through two solutions for each subproblem, is proposed. The scheme has been discretized with a collocation method and some numerical tests are reported. Moreover the method is compared with the more classical Dirichlet/Neumann one as well as with the capacitance matrix method.This research has been supported by a grant from M.P.I. (40%).     

指状椭圆函数滤波器的研究与设计

阐述了指状椭圆函数滤波器的特点、适用范围，基本理论以及设计方法。用本文导出的公式进行设计有工程应用价值，介绍了一个L波段滤波器的例子。     

基于椭圆曲线上EIGamal公钥体制的数字签名方案

论文提出了基于椭圆曲线上EIGamal加密体制的数字签名方案，并出于安全性的考虑进行了一点改动。另外，应用了Tate配对对签名进行验证。     

Coupling techniques in boundary-combined methods for solving elliptic problems with singularities

Three coupling strategies in matching the Ritz-Galerkin method and the finite element method are introduced for general elliptic equations, and useful numerical techniques are provided. Numerical experiments have been carried out for solving the typical, singular Motz problem, which shows that optimal convergence rates of numerical solutions can be achieved by using the combined methods and techniques provided in this paper.     

基于ECC-ZKP的农产品供应链可控身份管理与认证模型

基于区块链的农产品供应链中,当参与主体数量规模越来越大时,节点与企业之间的1：1匹配关系将造成节点数量众多,从而造成网络开销大、共识效率低等问题。针对这些问题,引入中间件使得节点与企业之间1：1关系变为1：n的关系,对所涉及到的企业身份管理以及相互之间的认证,提出一种基于ECC-ZKP（elliptic curve cryptosystem-zero—knowledge proof）的可控身份管理与认证模型,实现身份的可控管理和完成可信交易前所需要的身份认证。通过模型分析和仿真实验分析结果表明,该模型能够提供较高的安全性,能够有效进行身份的管理和认证,且节点与企业之间1：n关系相比较于1：1关系减少了网络开销并提高了共识效率。     

Edwards曲线快速标量乘算法研究

标量乘法是椭圆曲线密码算法中最核心的运算,其运算速度影响着整个密码体制的实现效率。首先,详细地介绍了Edwards曲线的基本概念。其次,为了提高标量乘法的运算速度,针对椭圆曲线标量乘算法进行了研究,引入了一种可以用来计算连续倍点2◢△mP◣的算法CDA。为了提高CDA的计算效率,提出了将标量◢k◣表示为4-NNAF形式以减少◢k◣的长度,再结合CDA计算标量乘法可以有效地减少运算量。最后根据算法的运算量分析和具体例子得出,减少标量◢k◣长度后的计算效率提高了13%以上。为了进一步加快运算速度,又提出了对CDA中乘法运算和模逆运算采用并行结构来减少标量乘法的运算次数。计算结果表明,并行后的计算效率提高了36%以上。