Wavelet numerical detection for singularly perturbed elliptic boundary value problems

This paper is concerned with the numerical solution, and with the detection of singularity for a singularly perturbed elliptic boundary value problems in two space dimensions. Specifically, a wavelet-collocation method is presented for a 2-D linear reaction-diffusion model. By using two-dimensional B-splinewavelet, we test the efficiency of the method. Foundation item: Supported by the National Natural Science Foundation of China (19602014) Biography: Zhang Ai-qing (1974-), female, Master candidate, research interest: wavelet analysis & application.     

现代谱估计与K-S检验相结合的正则参数选择

将残差的NCP同K-S(Kolmogorov-Smirnov)判据相结合来确定正则参数,并以图象恢复为例进行仿真。首先,将残差的NCP同理论值进行比较,求出最佳正则参数。而后,以图象恢复为例进行了讨论,结果表明,用现代谱估计的Burg法得到的恢复图象比传统谱估计FFT的图象质量和稳定性要好。     

求解P0-函数非线性互补问题的参数微分法

将P0-函数非线性互补问题(NCP(F))转化为求解一个等价的非线性方程组.由于转化后的非线性方程组相应的非线性映射一般是非光滑的,因此利用光滑化的Fischer-Burmeister函数构造与NCP(F)等价的光滑方程组.在此基础上建立求解NCP(F)的参数微分法.数值实验表明,这一方法是有效的.     

An improved moving mesh algorithm

We consider an iterative algorithm of mesh optimization for finite element solution, and give an improved moving mesh strategy that reduces rapidly the complexity and cost of solving variational problems. A numerical result is presented for a 2-dimensional problem by the improved algorithm. Foundation item: Supported by the National Natural Science Foundation of China(No. 19771062) Biography: Cheng Jian(1977-), male, Master candidate, research interests: the numerical solution of PDE.     

拉格朗日-拟牛顿法解约束非线性规划问题

Partier E R和祁力群等人先后提出解光滑不等式约束函数和光滑目标函数最优化问题的QP-free方法，算法中所有的迭代点为可行点．笔者在先前发表的文章中，提出了含弱互补函数的不等式约束最优化问题的拉格朗日-牛顿法．现笔者改进了先前文章中算法，用拟牛顿公式代替了Hesse矩阵，把解不等式约束最优化问题推广到了既含不等式约束又含等式约束最优化问题，并证明了此算法具有全局收敛性．对一些算例的计算表明，此法具有很好的应用前景．     

求解非线性互补问题的一个雅可比光滑化方法

提出了一个新的NCP光滑逼近函数,并利用这一光滑逼近函数建立一个求解非线性互补问题的雅可比光滑化方法.在适当假设下证明了算法的全局和局部超线性收敛性.数值实验结果表明所提出算法是有效的.     

拉格朗日——牛顿法的一个局部超线性收敛算法

桂胜华等曾提出含弱互补函数的不等式约束最优化问题的拉格朗日一牛顿法和拟牛顿法,但算法中计算Hesse矩阵的工作量较大,且该算法仅能解不等式约束最优化问题．论文改进了桂胜华等的算法,用拟牛顿公式代替了Hesse矩阵,并把解不等式约束最优化问题推广到既含不等式约束又含等式约束最优化问题;证明了此算法具有全局收敛性和局部超线性收敛性．     

The notched filtering characteristics of stratified volume holographic grating

Utilizing the tool of beam propagation method (BPM) to calculate the zeroth order diffraction beam intensity, we find SVHG displays notched diffraction response as a function of the readout wavelength. Using the method of SA and considering the variance of refractive index as the readout wavelength changes, a practiced notch filter can be designed and the period of the filter is discussed. Foundation item: Supported by the National Natural Science Foundation of China (69607005) Biography: LI Xiang-yang (1974-), male, Master candidate: Research direction: message optics.     

Fast inverse Cholesky decomposition for rectangular Toeplitz-block matrix

A fast Cholesky decomposition and a fast inverse Cholesky decomposition method forA ^T A are presented, whereA is anm×n rectangular Toeplitz-block matrix, we give the FCD-algorithm for computingR, and the FICD-algorithm for computingR ⁻¹, both allow for an efficient parallel implementation, for solving a least-squares problem and require onlyO(mn) operations. Supported by the National Natural Science Foundation of China and NCP of China Fang Yunlan: born in Aug. 1970, Past graduate student     

Infrared spectroscopic and theoretical studies on cobalt (II) complex of maleinitriledithiolate and 4, 4′-dimethyl-2, 2′-bipyridine

The complete experimental IR spectra and vibrational analysis of the title complex Co(mnt) (dmbpy) were reported in this paper. The results show that the complex molecule has a planar geometry belonging to point groupC _2v and ground electronic state with spin quartet. A new method for analyzing vibrational spectra of complicated molecule is established. The essential of this method is to point out main fixed points and pivotal vibrational units in assignment for each fundamental band. Two new symbols π (heaving along the specified direction) andM (midpoint of a bond or unit) were defined for describing the vibrational modes accurately. Foundation item: Supported by the National Natural Science Foundation of China (No. 29771025) Biography: Peng Zheng-he(1945-), male, Professor, research direction: functional materials & physical inorganic chemistry.     

An improved quasi-newton method for unconstrained optimization

We present an improved method. If we assume that the objective function is twice continuously differentiable and uniformly convex, we discuss global and superlinear convergence of the improved quasi-Newton method. Fei Pusheng: born in Mar. 1941. Professor. Current research interest is in optimization theory and application Supported by the National Natural Science Foundation of China     

An improved test method and numerical analysis for crack opening resistance of FRC round determinate panels

This paper presents a numerical analysis of a material test program investigating the crack opening properties of fibre reinforced concrete (FRC) round determinate panels (RDP). The objective of this research is to set up a modified RDP test method to improve the current ASTM C1550 test method for FRC and fibre reinforced shotcrete (FRS) composite. By this test method, a kind of light small-diameter panels are applied and more crack information can be obtained by a new rotation angle measuring technique. It is shown that this modified test method can be used to effectively evaluate the crack opening resistance of FRC. The finite element analysis was then performed to clarify the crack propagations and failure mode of FRC RDP panels. It helps establish a reasonable theoretical method to predict the structural response of RDP, combining with this modified testing technique. Foundation item: Supported by the National Natural Science Foundation of China (50708084) and Wuhan Chenguang Science and Technology Project for Young Experts (20035002016-30)     

非单调QP-free非可行域方法

提出了带有Fischer-Burmeister非线性互补(NCP)数的非单调QP-free非可行域算法.根据优化问题的一阶KKT条件,利用乘子和NCP函数,得到非光滑方程,给出解这个非光滑方程的迭代算法.该算法包含原始-对偶变量,在局部意义下,可看成关于一阶KKT最优条件的扰动牛顿-拟牛顿迭代算法.在线性搜索时,此算法采用非单调方法.给出的算法是可实现的并具有全局收敛性,且在适当假设下具有超线性收敛性.     

Wigner frequency point slice analysis of superposition data for phased-array ground penetrating radar

According to the frequency property of Phasedarray ground penetrating radar (PGPR), this paper gives a frequency point slice method based on Wigner time-frequency analysis. This method solves the problem of analysis for the PGPR‘s superposition data and makes detecting outcome simpler and detecting target more recognizable. At last, the analytical, results of road test data of the Three Gorges prove the analytical method efficient.     

Solid-phase preparation and characterization of Chitosan

0　IntroductionChitosanhasbeenwidelyusedinpharmaceu tical,agriculturalandindustrialfieldbe causeofitsintriguing properties[1 ] .Chemicalmethodstopreparechitosanfromchitinhavebeenbroadlystudiedincludingsolutionmethod ,meltedalkalinemethod,microwavesemi drymethod ,improvedLinelbergmethod ,dissolution precipita tionmethodandsoon ,inwhichalkalinewasallusedasthecatalyst[2 ] .Biologicalmethodwasapromisingwayinthatitproducedlittleenviron mentalpollutionanditsreactionconditionsweremild .However,thism…     

Point-tree structure genetic programming method for discontinuous function’s regression

A new point-tree data structure genetic programming (PTGP) method is proposed. For the discontinuous function regression problem, the proposed method is able to identify both the function structure and discontinuities points simultaneously. It is also easy to be used to solve the continuous function’s regression problems. The numerical experiment results demonstrate that the point-tree GP is an efficient alternative way to the complex function identification problems. Foundation item: Supported by the National Natural Science Foundation (60173046) and the Natural Science Foundation of Hubei Province (2002AB040) Biography: Xiong Sheng-wu (1966-), male, Associate professor, research direction: evolutionary computing, parallel computing.     

An exact formal solution to reaction-diffusion equations from biomathematics

We study the exact formal solution to the simplified Keller-Segel system modelling chemotaxis. The method we use is series expanding. The main result is to attain the formal solution to the simplified Keller-Segel system. Foundation item: Supported by the National Natural Science Foundation of China(No. 10025107) Biography: Chen Hua(1956-), male, Professor, research direction: partial differential equations.     

求解信赖域子问题的一个光滑牛顿法

信赖域子问题的有效求解是实现信赖域算法的关键.利用光滑Fischer-Bermeister NCP函数提出了一个求解信赖域子问题的光滑牛顿法.数值实验表明所提出的算法是有效的.     

The unconditional stability for the hyperneutral type constant linear control system with delays (I)

By means of the frequency domain method and the inequality analysis, we discuss the unconditional stability problem for the hyperneutral type constant linear control system with delays, and obtain some precise sufficient, sufficient and necessary conditions. Foundation item: Supported by the Natural Science Foundation of Hubei Province (2000A49005) Biography: Li Ye-ping (1972-), male, Lecturer, research direction: partial differential equation and differenfial dynamic systems.     

A semantic retrieval method based on the fuzzy reasoning

This paper gives a semantic fuzzy retrieval method of multimedia object, discusses the principle of fuzzy semantic retrieval technique, presents a fuzzy reasoning mechanism based on the knowledge base, and designs the relevant reasoning algorithms. Researchful results have innovative significance. Foundation item: Supported by the Natural Science Foundation of Hubei Province(No. 200J157) Biography: Cao Jia-heng(1946-), male, Professor, research direction: multimedia software, artificial intelligence.