A transform method for linear evolution PDEs on a finite interval

We study initial boundary value problems for linear scalar evolutionpartial differential equations, with spatial derivatives ofarbitrary order, posed on the domain {t > 0, 0 < x <L}. We show that the solution can be expressed as an integralin the complex k-plane. This integral is defined in terms ofan x-transform of the initial condition and a t-transform ofthe boundary conditions. The derivation of this integral representationrelies on the analysis of the global relation, which is an algebraicrelation defined in the complex k-plane coupling all boundaryvalues of the solution. For particular cases, such as the case of periodic boundaryconditions, or the case of boundary value problems for even-orderPDEs, it is possible to obtain directly from the global relationan alternative representation for the solution, in the formof an infinite series. We stress, however, that there existinitial boundary value problems for which the only representationis an integral which cannot be written as an infinite series.An example of such a problem is provided by the linearized versionof the KdV equation. Similarly, in general the solution of odd-orderlinear initial boundary value problems on a finite intervalcannot be expressed in terms of an infinite series.     

我国有线电视的网络媒体价值

阐述有线电视网络媒体的特点，有线电视网络媒体面临的困境及解决办法，最后展望有线电视网络媒体价值。     

Economic modeling of board test strategies

A long and deep recession, coupled with continuous competitive pressure to reduce costs, is forcing many companies to review their test strategies. Testing costs have become a more significant proportion of the overall manufacturing cost even though manufacturing yields have increased dramatically over the past ten or twelve years. This causes attention to be focused on testing costs as a key source of cost reduction. The increased use of DFT and the integration of design and test are very positive moves towards controlling testing costs but other methods employed can often backfire. The increased use of low priced testers is one such method. The pressure to reduce costs, higher process yields and exhortations that testing adds no value can lead the test engineering manager to take the cheap route. In reality this can often turn out to be an expensive decision. The only way to avoid expensive mistakes is to perform an economic analysis of the alternative courses of action. In most cases this is done, but not always in the right manner or with the necessary amount of detail to make the comparisons meaningful. This article discusses the need for effective cost analysis of test strategies and highlights some of the pitfalls.     

An auxiliary theorem for stability analysis in the presence of interval-valued parameters

A theorem which helps to determine the boundary of the image of an interval inR ⁿ under a differentiable mapping,F:R ⁿ C, is expounded. Examples illustrating the application of the theorem are given.     

基于双通道相位同步修正的距离零值校准

双通道接收机是测控雷达实现大姿态飞行目标跟踪测量的常规设备,也是高精度雷达通用的链路配置形式。采用常规的距离零值标校方法对该类型系统进行标校,稳定性较差,精度不高,无法达到亚米级距离零值的校准目的。在传统标校方法的基础上,融合双通道相位同步修正技术,优化了系统距离零值标校方法。仿真和测试结果结果表明,50 dB动态条件下零值校准精度优于1 m,弥补了传统标校方法的不足,可以作为工程方法推广使用。     

pH值对KDP晶体中散射颗粒的影响

探讨了不同pH值对KDP晶体散射颗粒的影响。结果表明,不同pH值生长条件下生长的KDP晶体中散射颗粒的尺寸、密度呈现明显差异,pH值为5.5条件下KDP晶体中散射颗粒尺寸明显变大,分布稀疏;pH值为2.0时,散射颗粒密度高,尺寸小。其原因在于形成散射的杂质颗粒的存在形式不同。     

Parallel Schwarz alternating methods for anisotropic diffusion of speckled medical images

This paper deals with ultrasound medical image processing, particularly to filter the noise while preserving the edges and structures of information. The mathematical processing consists in solving by a numerical way a nonlinear evolutive boundary value problem. Several numerical semi-implicit time marching schemes are considered and analyzed. At each time step, parallel synchronous or asynchronous Schwarz alternating methods are used to solve the linear system and its convergence is studied. Lastly, the results of sequential and parallel simulations are presented.      

相干态统计特性的弱测量结构研究

理论分析相干态位移参数估计在弱测量方法下的放大效应.引入偏振态作为附属态(Ancilla States),分别进行初选择和后选择,中间的相互作用采用了偏振相关的弱位移操作算符.通过最后检测光子数的分布来估计位移参数;在牺牲检测光子强度的情况下可以有效提高放大效应.