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A SIMPLE FINITE ELEMENT METHOD FOR THE REISSNER-MINDLIN PLATE

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Journal of Computational mathematics 1994年第1期12卷 46-54页

作者： Cheng Xiao-liang (Department of mathematics, {2. university, {2., zhejiang, China) hangzhou UNIV DEPT MATHHANGZHOUPEOPLES R CHINA

A simple finite element method for the Reissner-Mindlin plate model in the primitive variables is presented and analyzed. The method uses conforming linear finite elements for both the transverse displacement and rotation. It is proved that the method converges with optimal order uniformly with respect to *** is simpler and more economical than the Arnold-Falk element[1].

关键词： Math A SIMPLE FINITE ELEMENT METHOD FOR THE REISSNER-MINDLIN PLATE IV

Clustering-based hyperspectral band selection using sparse nonnegative matrix factorization

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Journal of zhejiang university-Science C(Computers and Electronics) 2011年第7期12卷 542-549页

作者： Ji-ming LI 1,2.Yun-tao QIAN 1 (1 School of Computer Science and Technology,zhejiang university,hangzhou 31002.,China) (2.{2. Police College,hangzhou 310053,China) School of Computer Science and Technology Zhejiang University zhejiang Police College

Hyperspectral imagery generally contains a very large amount of data due to hundreds of spectral *** selection is often applied firstly to reduce computational cost and facilitate subsequent tasks such as land-cover classification and higher level image *** this paper,we propose a new band selection algorithm using sparse nonnegative matrix factorization (sparse NMF).Though acting as a clustering method for band selection,sparse NMF need not consider the distance metric between different spectral bands,which is often the key step for most common clustering-based band selection *** imposing sparsity on the coefficient matrix,the bands' clustering assignments can be easily indicated through the largest entry in each column of the *** results showed that sparse NMF provides considerable insight into the clustering-based band selection problem and the selected bands are good for land-cover classification.

关键词： Hyperspectral Band selection Clustering Sparse nonnegative matrix factorization

Two-dimensional electrophoresis analysis of proteomics based on image feature and mathematical morphology

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Science China Chemistry 2005年第4期48卷 361-367页

作者： SHEN Peng1,FAN Xiaohui2.ZENG Zhen2.& CHENG Yiyu2.1.The First Affiliated Hospital,College of Medicine,zhejiang university,hangzhou 310003,China 2.Pharmaceutical Informatics Institute,zhejiang university,hangzhou 31002.,China 1. The First Affiliated Hospital College of Medicine Zhejiang University 310003 Hangzhou China 2. Pharmaceutical Informatics Institute Zhejiang University 310027 Hangzhou China

In this paper,a novel method to automatically detect protein spots on a two-dimensional (2.D) electrophoresis gel image is proposed to implement proteomics analysis of complex *** the basis of the identifying spots results based on color variation and spot size features,morphological feature is introduced as a new criterion to distinguish protein spots from non-protein ***-sharpening,edge-detecting and morphological feature extraction methods were consequently combined to detect protein spots on a 2.D electrophoresis gel image subject to strong *** proposed method was applied to detect the protein spots of proteomic gel images from *** cell,human kidney tissue and human *** results demonstrated that this method is more accurate and reliable than previous methods such as PDQuest 7.2.and ImageMaster 5.0 software for detecting protein spots on gel images with strong interferences.

关键词： proteomics, 2.dimensional electrophoresis, protein spot recognition, analytical chemistry for life, morphological feature, image recognition.

Exact stationary solutions independent of energy for strongly nonlinear stochastic systems of multiple degrees of freedom

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Science China(Technological Sciences) 2009年第8期52卷 2424-2431页

作者： HUANG ZhiLong1,2.& JIN XiaoLing1 1 Department of Mechanics, zhejiang university, {2., China 2.The State Key Laboratory of Fluid Power Transmission and Control, zhejiang university, {2., China Department of Mechanics Zhejiang University Hangzhou 310027 China The State Key Laboratory of Fluid Power Transmission and Control Zhejiang University Hangzhou 310027 China

A new procedure is proposed to construct strongly nonlinear systems of multiple degrees of freedom subjected to parametric and/or external Gaussian white noises, whose exact stationary solutions are independent of energy. Firstly, the equivalent Fokker-Planck-Kolmogorov (FPK) equations are derived by using exterior differentiation. The main difference between the equivalent FPK equation and the original FPK equation lies in the additional arbitrary antisymmetric diffusion matrix. Then the exact stationary solutions and the structures of the original systems can be obtained by using the coefficients of antisymmetric diffusion matrix. The obtained exact stationary solutions, which are generally independent of energy, are for the most general class of strongly nonlinear stochastic systems multiple degrees of freedom (MDOF) so far, and some classes of the known ones dependent on energy belong to the special cases of them.

关键词： exact stationary solution nonlinear stochastic system equivalent system independent of energy

Stochastic stability of quasi-integrable Hamiltonian systems with time delay by using Lyapunov function method

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Science China(Technological Sciences) 2010年第3期53卷 703-712页

作者： LING Quan 1,JIN XiaoLing 1 &HUANG ZhiLong 2.1 Department of Mechanics,zhejiang university,{2.,China 2.State Key Laboratory of Fluid Power Transmission and Control,zhejiang university,{2.,China 1. Department of Mechanics Zhejiang University Hangzhou 310027 China2. State Key Laboratory of Fluid Power Transmission and Control Zhejiang University Hangzhou 310027 China

The asymptotic Lyapunov stability of one quasi-integrable Hamiltonian system with time-delayed feedback control is studied by using Lyapunov functions and stochastic averaging ***,a quasi-integrable Hamiltonian system with time-delayed feedback control subjected to Gaussian white noise excitation is approximated by a quasi-integrable Hamiltonian system without time ***,stochastic averaging method for quasi-integrable Hamiltonian system is used to reduce the dimension of the original system,and after that the Lyapunov function of the averaged It equation is taken as the optimal linear combination of the corresponding independent first integrals in ***,the stability of the system is determined by using the largest eigenvalue of the linearized *** examples are used to illustrate the proposed procedure and the effects of delayed time on the Lyapunov stability are discussed as well.

关键词： Lyapunov stability Lyapunov function time delay stochastic averaging

The maximal super-singular integral operators on product spaces

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Science China mathematics 2011年第12期54卷 2615-2626页

作者： WANG Hui1 & CHEN JieCheng2.3, 1Department of mathematics, Xidian {2., Xi’an 710071, China 2.epartment of mathematics, zhejiang Normal {2., Jinhua 32.004, China 3Department of mathematics, zhejiang university, hangzhou 31002., China 1. Department of mathematics Xidian University Xi’an 710071 China2. Department of Mathematics Zhejiang Normal University Jinhua 321004 China3. Department of Mathematics Zhejiang University Hangzhou 310027 China

We study the maximal super-singular integral operator T＊Ω,α,β（f）（x,y）=sup ∈1〉0,∈2.0｜∫｜u｜〉ε1,｜v｜〉ε2.b1（｜u｜）b2.｜u｜）Ω（u＇,u＇）/｜u｜^n＋α｜u｜^m＋β-f（x-u,y-u）dudu｜defined on all f ∈ S（R^n ×R^m）, where 0 ≤ α,β〈∞, b1 b2.∈ L∞（R＋1 ）,Ω satisfies certain cancellation conditions and Ω∈L1（S^n-1×S^m-1）in the case α,β〉0;Ω∈L（log＋L）（S^n-1×S^m-1）in the case αβ=0 and α＋β 〉0. It is proved that, for 1〈p〈∞.T＊Ω,α,βis a bounded operator from the homogeneous Sobolev space Lα,β^p（R^n×R^m）to the Lebesgue space L^p（R^n×R^m）.

关键词： super-singular integral maximal operator product spaces

APPLICATION OF NEWTON'S AND CHEBYSHEV'S METHODS TO PARALLEL FACTORJZATION OF POLYNOMIALS

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Journal of Computational mathematics 2001年第4期19卷 347-356页

作者： Shi-ming Zheng (Department of mathematics, Xixi Campus, {2., hangzhou 31002., China) 浙江大学浙江杭州 310028

In this paper it is shown m two different ways that one of the family of parallel iterations to determine all real quadratic factors of polynomials presented in [12. is Newton's method applied to the special equation (1.7) below. Furthermore, we apply Chebyshev's method to (1.7) and obtain a new parallel iteration for factorization of polynomials. Finally, some properties of the parallel iterations are discussed.

关键词： Newton's method Chebyshev's method Parallel iteration Factorization of polynomial.

Hodograph computation and bound estimation for rational B-spline curves

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Progress in Natural Science:Materials International 2007年第8期17卷 988-992页

作者： Xu Huixia~(1,2. Wang Guojin~(1,2.*) (1.Institute of Computer Images and Graphics,zhejiang university,hangzhou 31002.,China 2.State Key Laboratory of CAD&CG,zhejiang university,hangzhou 31002.,China) [a]Institute of Computer Images and Graphics Zhejiang University Hangzhou China [b]State Key Laboratory of CAD&CG Zhejiang University Hangzhou China

It is necessary to compute the derivative end estimate the bound of rational B-spline curves in design system,which has not been studied to *** improve the function of computer aided design (CAD) system,end to enhance the efficiency of different algo- rithms of rational B-spline curves,the representation of scaled hodograph and bound of derivative magnitude of uniform planar rational B- spline curves are derived by applying Dir function,which indicates the direction of Cartesian vector between homogeneous points,discrete B-spline theory end the formula of translating the product into a summation of B-spline *** an application of the result above, upper bound of parametric distance between any two points in a uniform planar rational B-spline curve is further presented.

关键词： computer aided design (CAD) rational B-spline discrete B-spline hodograph bound of derivative distance between two points

A FAMILY OF HIGH-ODER PARALLEL ROOTFINDERS FOR POLYNOMIALS

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Journal of Computational mathematics 2000年第3期18卷 283-288页

作者： Shi-ming Zheng (Department of mathematics, Xixi Campus,{2., hangzhou, 31002., China) 浙江大学浙江杭州 310028

Presents a family of parallel iterations for finding all zeros of a polynomial without evaluation of derivatives. Construction of iterations; Convergence of the iterations; Details on the numerical examples.

关键词： parallel iteration zeros of polynomial order of convergence