AHP 中新元素导入的强保序性研究

对层次分析中在单一准则下导入一组新元素的强保序条件进行了研究，给出在原有元素中导入一组新元素时，保持新旧两组元素各自原有权值之比的一个充分条件，并给出了3个判断矩阵(原有元素构成的判断矩阵，导入的新元素构成的判断矩阵及其合成判断矩阵)排序向量之间及其一致性之间的关系，丰富和完善了保序性理论，并提高了其实用性，最后通过算例分析验证了该条件的有效性。     

装表接电工作中存在的隐患与对策

在电力输送过程中,做好装表接电工作意义重大。通过对装表接电工作的概念和现状进行简要分析,介绍了装表接电工作过程中存在的隐患,并提出了相应的解决对策,希望能对装表接电过程中的隐患治理起到一定的作用。     

Energy decay rate for a quasi-linear wave equation with localized strong dissipation

The purpose of this paper is to derive a sharp energy decay estimate for a quasi-linear wave equation with localized strong dissipation of the type −∇⋅(a(x)∇u_t) in a domain Ω of R^N, where a(x) is a nonnegative function supported only on a part of the boundary ∂Ω. We note that the index of algebraic decay depends on dimension N and no geometrical condition is imposed on the boundary ∂Ω.     

提高Bragg光栅解调系统精度的拟合算法

为了在自主研发设备的基础上,从软件算法上提高光纤光栅传感解调系统的精度,利用装有标准光纤光栅阵列的解调系统,提出一种动态曲线拟合方法。这一算法基于拉格朗日公式的,并选取3个点作近似的拉格朗日曲线拟合,其中一个点可根据实验数据人为设置及调整,从而得到精确的拟合曲线。传感光栅的反射或透射波长测量误差≤±7 pm,提高了光纤光栅传感解调系统的精度。     

装表接电控制技术要点探析

在装表接电环节,电力企业应该采取有效的管理措施,全面解决电力低效和窃电问题。主要探析了装表接电技术,以期为电力工作者提供帮助。     

大工业过程的稳态模型分散辨识及其强一致性分析

针对动态线性大工业过程,提出了获得其可分稳态模型强一致性估计的分散辨识方法.该方法仅使用设定点的阶跃信号作为输入激励信号,并且每个子过程的输入输出稳态模型辨识是在相应的局部单元完成的,因而大大减少了对过程的干扰和信息的交换量.所提出的方法简洁,并且辨识精度高,仿真结果说明了该辨识方法的有效性和实用性.     

基于XML Schema的XML强多值依赖的推理规则集

XML强多值依赖的推理规则集问题是解决不完全信息环境下XML数据依赖蕴涵问题的基础,是不完全信息环境下XML模式设计理论的关键问题之一。提出了XML Schema、符合XML Schema的不完全XML文档树等概念;基于子树信息等价和子树信息相容的概念提出了XML强多值依赖的定义及性质;给出了相应的推理规则集,并对其正确性和完备性进行了证明。研究成果为不完全信息环境下存在XSMVD的XML Schema设计奠定了基础。     

Difference schemes for the dispersive equation

In this paper a table of difference schemes for the dispersive equationu _i=au _xxx is presented. A collection of criterions for deriving stability conditions of difference schemes is given and applied to these difference schemes.     

Numerical study of a nonlinear heat equation for plasma physics

This paper is devoted to the numerical approximation of a nonlinear parabolic balance equation, which describes the heat evolution of a magnetically confined plasma in the edge region of a tokamak. The nonlinearity implies some numerical difficulties, in particular for the long-time behaviour approximation, when solved with standard methods. An efficient numerical scheme is presented in this paper, based on a combination of a directional splitting scheme and the implicit–explicit scheme introduced in Filbet and Jin [A class of asymptotic preserving schemes for kinetic equations and related problems with stiff sources, J. Comput. Phys. 229 (2010), pp. 7625–7648].     

一种强素数因子分解的量子算法

深入分析了RSA模数N的强素数因子的特殊结构,进一步确定了2对N的阶δN（2）与Euler函数?准（N）之间的关系,提出了新的分解由强素数因子乘积构成的RSA模N的量子算法,简化了因子分解的过程,提高了运算效率。     

On symplectic and multisymplectic schemes for the KdV equation

We examine some symplectic and multisymplectic methods for the notorious Korteweg-de Vries equation, with the question whether the added structure preservation that these methods offer is key in providing high quality schemes for the long time integration of nonlinear, conservative partial differential equations. Concentrating on second order discretizations, several interesting schemes are constructed and studied. Our essential conclusions are that it is possible to design very stable, conservative difference schemes for the nonlinear, conservative KdV equation. Among the best of such schemes are methods which are symplectic or multisymplectic. Semi-explicit, symplectic schemes can be very effective in many situations. Compact box schemes are effective in ensuring that no artificial wiggles appear in the approximate solution. A family of box schemes is constructed, of which the multisymplectic box scheme is a prominent member, which are particularly stable on coarse space-time grids.     

American option pricing problem transformed on finite interval

We study the American option pricing linear complementarity problem (LCP), transformed on finite interval as it is initially defined on semi-infinite real axis. We aim to validate this transformation, investigating the well-posedness of the resulting problem in weighted Sobolev spaces. The monotonic penalty method reformulates the LCP as a semi-linear partial differential equation (PDE) and our analysis of the penalized problem results in uniform convergence estimates. The resulting PDE is further discretized by a fitted finite volume method since the transformed partial differential operator degenerates on the boundary. We show solvability of the semi-discrete and fully discrete problems. The Brennan–Schwarz algorithm is also presented for comparison of the numerical experiments, given in support to our theoretical considerations.     

On fully discrete schemes for the Fermi pencil-beam equation

We consider a Fermi pencil-beam model in two-space dimensions (x,y), where x is aligned with the beam’s penetration direction and y together with the scaled angular variable z correspond to a, bounded symmetric, transversal cross-section. The model corresponds to a forward–backward degenerate, convection dominated, convection–diffusion problem. For this problem we study some fully discrete numerical schemes using the standard- and Petrov–Galerkin finite element methods, for discretizations of the transversal domain, combined with the backward Euler, Crank–Nicolson, and discontinuous Galerkin methods for discretizations in the penetration variable. We derive stability estimates for the semi-discrete problems. Further, assuming sufficiently smooth exact solution, we obtain optimal a priori error bounds in a triple norm. These estimates give rise to a priori error estimates in the L²-norm. Numerical implementations presented for some examples with the data approximating Dirac δ function, confirm the expected performance of the combined schemes.     

二维热传导方程有限容积法的MATLAB实现

通过偏微分方程描述了二维无扩散热传导现象。基于有限容积法推导了该方程的离散代数方程组,针对恒定热流强度、恒定温度、对流换热和绝热这四种不同边界条件,分别讨论了热传导代数方程的离散系数和源项。通过MATLAB编程,分析了一维具有均匀厚度无限大板和二维矩形区域的瞬态传热现象。采用图形显示方式使得偏微分方程求解更为直观和容易理解,计算结果证明了有限容积求解方法是可行、稳定的。     

Bicompact schemes for an inhomogeneous linear transport equation

The bicompact finite-difference schemes constructed for a homogeneous linear transport equation for the case of the inhomogeneous transport equation are generalized. The equation describes the transport of particles or radiation in media. Using the method of lines, the bicompact scheme is constructed for the initial unknown function and the complementary unknown mesh function defined as the integral average of the initial function with respect to space cells. The comparison of the calculation results of the proposed method and the conservative-characteristic method is carried out. The latter can be assigned to the class of bicompact finite-difference schemes; however, this method is based on the idea of the redistribution of incoming fluxes from illuminated edges to unilluminated edges.     

The differential of the strong product graphs

Let G=(V, E) be a graph of order n and let B(D) be the set of vertices in V ? D that have a neighbour in the set D. The differential of a set D is defined as ? (D)=|B(D)|?|D| and the differential of a graph to equal the maximum value of ?(D) for any subset D of V. In this paper we obtain several tight bounds for the differential of strong product graphs. In particular, we investigate the relationship between the differential of this type of product graphs and various parameters in the factors of the product.