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Planar Graphs whose Second Largest Eigenvalue Smaller than ■

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Journal of Mathematical Research with Applications 2024年第1期44卷 1-6页

作者： Zihao GENG jiming guo department of mathematics East China University of Science and Technology

A graph G is said to be planar if G can be drawn on the plane in such a way that its edges intersect only at their *** this paper,all the planar graphs without isolated vertices whose second largest eigenvalue smaller... 详细信息

关键词： planar graph the second largest eigenvalue complete product

ON RAYLEIGH QUOTIENT MATRICES: THEORY ANDAPPLICATIONS

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Journal of Computational mathematics 1999年第6期17卷 629-638页

作者： Xin-guo Liu(department of applied mathematics Ocean university of Qingdao, Qingdao 266003, china) 青岛海洋大学应用数学系山东青岛 266003

Many authors have studied the Rayleigh quotient and Rayleigh quotient matrix. This paper consists of two parts. First, generalizations of some results on the Rayleigh quotient are proved. Second, we give some applicat... 详细信息

关键词： Rayleigh quotient matrix eigenvalue approximation

THE SCHWARZ CHAOTIC RELAXATION METHOD WITH INEXACT SOLVERS ON THE SUBDOMAINS

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Journal of Computational mathematics 1999年第2期17卷 125-132页

作者： Jian-guo Huang(department of applied mathematics, Shanghai Jiao Tong university,Shanghai 200240, china) 上海交通大学应用数学系上海

In this paper, a S-CR method with inexact solvers on the subdomains is presented, and then its convergence property is proved under very general conditions. This result is important because it guarantees the effective... 详细信息

关键词： S-CR method chaotic algorithm inexact solvers

ON THE DOMAIN DECOMPOSITION METHOD FOR MORLEYELEMENT-FROM WEAK OVERLAP TO NONOVERLAP

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Journal of Computational mathematics 1999年第6期17卷 615-628页

作者： Jian-guo Huang(department of applied mathematics, Shanghai Jiao Tong university, Shanghai 200240,china) 上海交通大学应用数学系上海 200240

In this paper, following our original ideas[9], we first consider a weakly overlapping additive Schwarz preconditioner according to the framework of [2] for Morley element and show that its condition number is quasi-optimal; we then analyze in detail the structure of this preconditioner, and after proper choices of the inexact solvers, we obtain a quasi-optimal nonoverlapping domain decomposition preconditioner in the last. Compared with [12], [13], it seems that according to this paper's procedure we can make out more thoroughly the relationship between overlapping and nonoverlapping domain decomposition methods for nonconforming plate elements, and certainly, we have also proposed another formal and simple strategy to construct nonoverlapping domain decomposition preconditioners for nonconforming plate elements.

关键词： Morley element domain decomposition weak overlap

The existence of global solution and their weak limit of generalized Ginzburg-Landau equations in two dimensions

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Progress in Natural Science:Materials International 2006年第5期16卷 458-463页

作者： YANG Ling'e and guo Boling (department of mathematics, Foshan university, Foshan 528000, china Institute of applied Physics and Computational mathematics, Beijing 100088, china) department of mathematics Foshan University Foshan 528000 China Institute of applied Physics and Computational mathematics Beijing 100088 China

By the uniform a priori estimate of solution about parameters, we prove the existence of global solution and inviscid lim- it to a generalized Ginzburg-Landau equations in two dimensions. We also prove that the solution to the Ginzburg-Landau equations converges to the weak solution to the derivative nonlinear Schrodinger equations.

关键词： Ginzburg-Landau equation global solution inviscid limits.

Mean size formula of wavelet subdivision tree on Heisenberg group

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applied mathematics(A Journal of Chinese Universities) 2008年第3期23卷 303-312页

作者： WANG guo-mao department of mathematics,Zhejiang university,Hangzhou 310027,china department of mathematics,Hangzhou Dianzi university,Hangzhou 310018,china. department of mathematics Zhejiang University Hangzhou China department of mathematics Hangzhou Dianzi University Hangzhou China

The purpose of this paper is to investigate the mean size formula of wavelet packets （wavelet subdivision tree） on Heisenberg group. The formula is given in terms of the p-norm joint spectral radius. The vector refinement equations on Heisenberg group and the subdivision tree on the Heisenberg group are discussed. The mean size formula of wavelet packets can be used to describe the asymptotic behavior of norm of the subdivision tree.

关键词： Heisenberg group wavelet packets subdivision tree joint spectral radius stability

H~m convergence rates of solutions of GBBM equations in multi-dimensional spaces

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Progress in Natural Science:Materials International 2009年第9期19卷 1053-1057页

作者： Shaomei Fang a,*, Boling guo b a department of mathematics, South china Agricultural university, Guangzhou 510642, china b Institute of applied Physics and Computational mathematics, Beijing 100088, china department of mathematics South China Agricultural University Guangzhou 510642 China Institute of applied Physics and Computational mathematics Beijing 100088 China

In this paper, we study the decay rates of the generalized Benjamin-Bona-Mahony equations in n-dimensional space. By using Fourier analysis for long wave and by applying the energy method for short wave, we obtain the Hm convergence rates of the solutions when the initial data are in the bounded subset of the phase space HmeRnTen P 3T. The optimal decay rates are obtained in our results and are found to be the same as the Heat equation.

关键词： Generalized Benjamin–Bona–Mahony equations Fourier analysis Energy method Optimal convergence rates

Finite Dimensional Behavior of Global Attractors for Weakly Damping Ginzburg-Landau Equations Coupling with BBM Equations

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Communications in Nonlinear Science and Numerical Simulation 1998年第1期3卷 10-14页

作者： Boling guo * and Murong JIANG + *(Institute of applied Physics and Computational mathematics,Beijing,100088,china) +(department of mathematics,Yunnan university,Kunming 650091,china) E mail:guobl@*** Inst. Appl. Phys. and Compl. Math. Beijing 100088 China department of mathematics Yunnan University Kunming 650091 China

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关键词： dimension attractor Ginzburg Landau equation couped BBM equationIntroduction

CONVERGENCE RESULTS OF RUNGE-KUTTA METHODS FOR MULTIPLY-STIFF SINGULAR PERTURBATION PROBLEMS

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Journal of Computational mathematics 2002年第3期20卷 325-336页

作者： Ai-guo Xiao (department of mathematics, Xiangtan university, Xiangtan 411105, china) department of mathematics Xiangtan University Xiangtan 411105

Presents information on a study which provided convergence results for algebraically stable Runge-Kutta methods applied to some classes of one- and two-parameter multiply-stiff singular perturbation problems (MSPP). Discussion on one-parameter MSPP; Analysis of two-parameter MSPP; Presentation of the one-parameter MSPP with a constraint; Numerical example.

关键词： singular perturbation problems Runge-Kutta methods convergence multiple-stiffness