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ON THE SOLVABILITY OF GENERAL LINEAR METHODS FOR DISSIPATIVE DYNAMICAL systemS

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Journal of Computational mathematics 2000年第6期18卷 633-638页

作者： Ai-guo Xiao (Department of mathematics, Xiangtan University, Xiangtan 411105, china.) (Institute of Computational mathematics and Scientific/Engineering Computing, chinese academy of sciences, beijing 100080, china) 湘潭大学湖南湘潭 4111105

The main purpose of the present paper is to examine the existence and local uniqueness of solutions of the implicit equations arising in the application of a weakly algebraically stable general linear methods to dissipative dynamical systems, and to extend the existing relevant results of Runge-Kutta methods by Humphries and Stuart(1994). [ABSTRACT FROM AUTHOR]

关键词： general linear methods dissipative dynamical systems weak algebraic stability solvability

Attractors and Dimensions for Discretizations of a Dissipative Zakharov Equations

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Acta Mathematicae Applicatae Sinica 2002年第2期18卷 201-214页

作者： Qian-shun Chang, Bo-ling GuoInstitute of Applied mathematics, academy of mathematics and system sciences, chinese academy of sciences,beijing 100080, chinaInstitute of Applied Physics and Computational mathematics, beijing 100088, china Institute of Applied mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing China Institute of Applied Physics and Computational mathematics Beijing China

In this paper, a dissipative Zakharov equations are discretized by difference method. We make prior estimates for the algebric system of equations. It is proved that for each mesh size, there exist attractors for the discretized system. The bounds of the Hausdorff dimensions of the discrete attractors are obtained, and the various bounds are dependent of the mesh sizes.

关键词： Attractor dissipative Zakharov equation

On the local wellposedness of 3-D water wave problem with vorticity

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science china mathematics 2007年第8期50卷 1065-1077页

作者： Ping ZHANG~1 Zhi-fei ZHANG~2 1 academy of mathematics and systems science,chinese academy of sciences,beijing 100080,china 2 School of Mathematical sciences,Peking University,beijing 100871,china academy of mathematics and systems science Chinese Academy of Sciences Beijing China School of Mathematical sciences Peking University Beijing China

In this article, we first present an equivalent formulation of the free boundary problem to 3-D incompressible Euler equations, then we announce our local wellposedness result concerning the free boundary problem in Sobolev space provided that there is no self-intersection point on the initial surface and under the stability assumption that $\frac{{\partial p}}{{\partial n}}(\xi )\left| {_{t = 0} } \right. \leqslant - 2c_0 < 0$ being restricted to the initial surface.

关键词： water-waves free boundary incompressible Euler equations primary 35Q35 76B03 secondary 35J67 35L80

ELTA-WAVE IN A SIMPLE 1-D 2 x 2 HYPERBOLIC PROBLEM

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Journal of Computational mathematics 1996年第4期14卷 311-318页

作者： S.L. Yang(Institute of Applied mathematics, chinese academy of sciences, beijing, china) Institute of Applied mathematics Chinese Academy of Sciences Beijing China

A simple one-dimensional 2 x 2 hyperbolic system is considered in the *** model contains a linear hyperbolic equation, as well as a hyperbolic equation ofwhich the coefficients are about the solution of the linear one. The exact solution ispresented and discussed, then numerical experiments are given by TVD (or MmB)type schemes for Riemann problems. From the results, we know that the solutionsdo have δ-waves for some suitable initial data.

关键词： Zhang Figure DELTA-WAVE IN A SIMPLE 1-D 2 HYPERBOLIC PROBLEM

Fiducial intervals of restricted parameters and their applications

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science china mathematics 2005年第11期48卷 1567-1583页

作者： LI Xinmin, LI Guoying & XU Xingzhong College of mathematics and Information sciences, Shandong University of Technology, Zibo 255049, china academy of mathematics and system sciences, chinese academy of sciences, beijing 100800, china Department of mathematics, beijing Institute of Technology, beijing 100801, china College of mathematics and Information sciences Shandong University of Technology Zibo China academy of mathematics and system sciences Chinese Academy of Sciences Beijing China Department of mathematics Beijing Institute of Technology Beijing China

In practice, the unknown parameters are often restricted. This paper provides a general method for constructing the fiducial intervals of the restricted parameters. Applying the general method, the fiducial intervals are constructed for the location (scale)parameters and the difference (ratio) of two locations (scales) in a location (scale) family of distributions. The frequency properties of these intervals are verified. For a variance components model, the fiducial intervals for the three parameters of common interest are obtained. Their frequency properties are investigated theoretically and computationally.

关键词： restricted parameter space,fiducial interval,frequency property,variance components

SUBSPACE SEARCH METHOD FOR A CLASS OF LEAST SQUARES PROBLEM

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Journal of Computational mathematics 2000年第2期18卷 133-140页

作者： Zi-Luan Wei (Institute of Computational mathematics and Scientific / Engineerin Computing, chinese academy of sciences, P.O. Box 2719, beijing 100080, china) 中科院计算数学与科学工程计算所北京 100080

Presents information on a study which described a subspace search method for solving a class of least squares problem. Derivation of the algorithm; Convergence results; Modification of algorithm and applications.

关键词： subspace search method A class of least squqres problem convergence analysis.

Conjugate Gradient Methods with Armijo-type Line Searches

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Acta Mathematicae Applicatae Sinica 2002年第1期18卷 123-130页

作者： Yu-Hong DAIState Key Laboratory of Scientific and Engineering Computing, Institute of Computational mathematics, academy of mathematics and system sciences, chinese academy of sciences, beijing 100080, china State Key Laboratory of Scientific and Engineering Computing Institute of Computational Mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing China

Two Armijo-type line searches are proposed in this paper for nonlinear conjugate gradient methods. Under these line searches, global convergence results are established for several famous conjugate gradient methods, i... 详细信息

关键词： Unconstrained optimization conjugate gradient method line search global convergence

SWITCHING CONTROL: FROM SIMPLE RULES TO COMPLEX CHAOTIC systemS

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Journal of systems science & Complexity 2003年第3期16卷 404-413页

作者： LU Jinhu(Institute of systems sciences, academy of mathematics and system sciences, chinese academy of sciences, beijing 100080, china ) Institute of systems sciences Academy of Mathematics and System Sciences Chinese Academy of Sciences 北京 100080

This paper reviews and introduces some simple switching piecewise-linear controllers, which can generate complex chaotic behaviors from simple switching *** mechanism of simple switching rules creating complex chaotic... 详细信息

关键词： switching control simple rules complex systems

Mechanism and Defense on Malicious Code

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Wuhan University Journal of Natural sciences 2005年第1期10卷 83-88页

作者： WEN Wei-ping 1,2,3, QING Si-han 1,2,31. Institute of Software, the chinese academy of sciences, beijing 100080, china 2.Engineering Research Center for Information Security Technology, the chinese academy of sciences, beijing 100080, china 3.Graduate School of the chinese academy of sciences, beijing 100080, china Institute of Software the Chinese Academy of Sciences Beijing China Engineering Research Center for Information Security Technology the Chinese Academy of Sciences Beijing China Graduate School of the chinese academy of sciences Beijing China

With the explosive growth of network applications, the threat of the malicious code against network security becomes increasingly serious. In this paper we explore the mechanism of the malicious code by giving an attack model of the malicious code, and discuss the critical techniques of implementation and prevention against the malicious code. The remaining problems and emerging trends in this area are also addressed in the paper.

关键词： malicious code attacking model mechanism defense system security network security