A posteriori error analysis of a quadratic finite volume method for nonlinear elliptic problems

In this article, we construct and analyze a residual-based a posteriori error estimator for a quadratic finite volume method (FVM) for solving nonlinear elliptic partial differential equations with homogeneous Dirichlet boundary conditions. We shall prove that the a posteriori error estimator yields the global upper and local lower bounds for the norm error of the FVM. So that the a posteriori error estimator is equivalent to the true error in a certain sense. Numerical experiments are performed to illustrate the theoretical results.     

非锚固式大型立式热质储罐强度分析

针对大型储罐在多种载荷作用下易发生强度破坏的问题，以某热质储罐为研究对象，利用有限元法分析热质储罐在自重、内压、液柱静压力、风载荷、地震载荷、雪载荷以及温度载荷作用下的应力强度以及变形，模拟大角焊缝区域翘曲情况，并依照JB4732—1995进行强度评定，为此类大型立式储罐的设计提供参考。     

新宁县可持续发展能力评价

为了评价新宁县可持续发展能力,根据县情建立了由经济发展、资源利用、生态建设与环境保护4个子系统组成的可持续发展能力评价指标体系,并采用全排列多边形综合图示法评价了2007–2014年的可持续发展现状以及2020的可持续发展水平。研究结果表明:2007–2012年,新宁县可持续发展综合指数均低于0.250,处于Ⅳ级较差水平;2013–2014年处于Ⅲ级一般水平;2020年达到0.945,进入Ⅰ级水平,可持续发展能力优良;当前新宁县可持续发展能力距离规划目标仍有很大差距。     

高性能称重配料系统控制策略的研究及实现

着重针对应用于饲料生产工艺的称重配料系统的控制策略进行研究,特别是对空中落差的研究,推出了实现该控制策略的高性能称重配料控制器,并进行切实可行的软硬件设计,以真正实现称重配料系统的高性能。     

Efficient Collocation Schemes for Singular Boundary Value Problems

We discuss an error estimation procedure for the global error of collocation schemes applied to solve singular boundary value problems with a singularity of the first kind. This a posteriori estimate of the global error was proposed by Stetter in 1978 and is based on the idea of Defect Correction, originally due to Zadunaisky. Here, we present a new, carefully designed modification of this error estimate which not only results in less computational work but also appears to perform satisfactorily for singular problems. We give a full analytical justification for the asymptotical correctness of the error estimate when it is applied to a general nonlinear regular problem. For the singular case, we are presently only able to provide computational evidence for the full convergence order, the related analysis is still work in progress. This global estimate is the basis for a grid selection routine in which the grid is modified with the aim to equidistribute the global error. This procedure yields meshes suitable for an efficient numerical solution. Most importantly, we observe that the grid is refined in a way reflecting only the behavior of the solution and remains unaffected by the unsmooth direction field close to the singular point.     

动态校正的PI型广义预测控制器及其在反应釜系统中的仿真研究

提出了一种新型的广义预测控制器。由于在控制器的设计中,进行了预测误差的动态校正,并且控制器采用了比例积分型(PI)目标函数,因此该控制器对未建模动态具有很强的鲁棒性。应用低阶的模型对一个强放热的化学反应釜模型进行的仿真研究检验了该方法的有效性。     

A likelihood-based method for haplotype association studies of case-control data with genotyping uncertainty

This paper discusses the associations between traits and haplotypes based on Fl (fluorescent intensity) data sets. We consider a clustering algorithm based on mixtures of t distributions to obtain all possible genotypes of each individual (i.e. "GenoSpec-trum"). We then propose a likelihood-based approach that incorporates the genotyping uncertainty to assessing the associations between traits and haplotypes through a haplotype-based logistic regression model. Simulation studies show that our likelihood-based method can reduce the impact induced by genotyping errors.     

磁存储的研究现状及发展方向

磁性存储是最常用的大容量存储技术。其记录密度越来越高，发展也越来越快。通过对信息记录、读出和存储3个过程的分析，对硬磁盘记录、垂直磁记录和磁光记录的优缺点作了对比。指出了采用垂直记录模式、非晶结构合金薄膜或铁氧体薄膜介质是实现超高密度记录的方向，光辅助磁记录是很有希望的记录技术。还指出量子磁盘技术是未来极高密度记录的方向。     

An efficient numerical scheme for precise time integration of a diffusion-dissolution/precipitation chemical system

A numerical scheme based on an operator splitting method and a dense output event location algorithm is proposed to integrate a diffusion-dissolution/precipitation chemical initial-boundary value problem with jumping nonlinearities. The numerical analysis of the scheme is carried out and it is proved to be of order 2 in time. This global order estimate is illustrated numerically on a test case.

     

关于AOR迭代法的研究

本文论证了严格对角占优矩阵之AOR法的误差估计式中的误差估计常数hγ,ω（0≤γ≤ω0）的最小值是h1,1.