张诚坚
刚性积分-微分方程数值解;微分代数方程数值解;时滞动力学系统及其数值模拟;并行算法与科学工程模型仿真计算
个性化签名
- 姓名:张诚坚
- 目前身份:
- 担任导师情况:
- 学位:
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学术头衔:
博士生导师
- 职称:-
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学科领域:
计算数学
- 研究兴趣:刚性积分-微分方程数值解;微分代数方程数值解;时滞动力学系统及其数值模拟;并行算法与科学工程模型仿真计算
张诚坚,男,湖南平江人,华中科技大学教授,博士生导师,数学与统计学院院长,中国仿真算法专业委员会副主任委员, 中国计算数学学会常务理事,湖北省数学学会副理事长,《数学杂志》编委。
学习经历:
● 1998年湖南大学应用数学专业毕业,获理学博士。
● 1992年湘潭大学计算数学专业毕业,获理学硕士。
● 1986年湘潭大学基础数学专业毕业,获理学学士。
工作经历:
● 2004.3-Present, 华中科技大学任教,教授、博导,其间应邀访问美国伊利诺理工大学、香港浸会大学及中国科学院等单位。
● 2002.2-2004.3,比利时鲁汶大学,Research Fellow 。
● 1998.7-2002.2,华中科技大学任教,2000年控制科学与工程博士后流动站出站, 2001年破格晋升为教授。
● 1992.7-1998.7,湖南大学任教,1997年破格晋升为副教授。
● 1986.7-1989.8,长沙理工大学任教, 助教。
研究兴趣:
● 刚性积分-微分方程数值解
● 微分代数方程数值解
● 时滞动力学系统及其数值模拟
● 并行算法与科学工程模型仿真计算
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主页访问
2007
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关注数
1
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成果阅读
319
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成果数
8
【期刊论文】HOPF BIFURCATION ANALYSIS OF SOME HYPERCHAOTIC SYSTEMS WITH TIME-DELAY CONTROLLERS
张诚坚, LAN ZHANG AND CHENGJIAN ZHANG
KYBERNETIKA-VOLUME 44 (2008), NUMBER 1, PAGES 35-42,-0001,():
-1年11月30日
A four-dimensional hyperchaotic Lu system with multiple time-delay controllers is con-sidered in this paper. Based on the theory of Hopf bifurcation in delay system, we obtain a simple relationship between the parameters when the system has a periodic solution. Numerical simulations show that the assumption is a rational condition, choosing parame-ter in the determined region can control hyperchaotic Lu system well, the chaotic state is transformed to the periodic orbit. Finally, we consider the differences between the analysis of the hyperchaotic Lorenz system, hyperchaotic Chen system and hyperchaotic Lu system.
Hopf bifurcation,, periodic solution,, multiple time-delays and parameters,, by-perchaotic Lu system,, hyperchaotic Chen system,, hyperchaotic Lorenz system
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【期刊论文】GENERAL LINEAR METHODS FOR VOLTERRA INTEGRO-DIFFERENTIAL EQU ATIONS WITH MEMORY*
张诚坚, CHENGJIAN ZHANG AND STEFAN VANDEWALLE
SIAM J. SCI. COMPUT Vol. 27, No.6, pp. 2010-2031,-0001,():
-1年11月30日
A new class of numerical methods for Volterra integro-differential equations with memory is developed. The methods are based on the combination of general linear methods with compound quadrature rules. Sufficient conditions that guarantee global and asymptotic stability of the solution of the differential equation and its numerical approximation are established. Numerical examples illustrate the convergence and effectiveness of the numerical methods.
stability,, general linear methods,, Volterra delay-integro-differential equation
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【期刊论文】An Analysis of Stability of Milstein Method for Stochastic Differential Equations With Delay
张诚坚, ZHIYONG WANG NAD CHENG JIAN ZHANG
Computers and Mathematics with Applications 51 (2006) 1445-1452,-0001,():
-1年11月30日
This paper deals with the adapted Milstein method for solving linear stochastic delay differential equations. It is proved that the numerical method is mean-square (MS) stable under suitable conditions. The obtained result shows that the method preserves the stability property of a class of linear-coefficient problems. This is also verified by several numerical examples.
Stochastic delay diffcrential equations,, Ita stochastic integral,, MS-stability,, Mistein method,, Numerical simulation.,
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63浏览
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张诚坚, CHENGJIAN ZHANG† AND STEFAN VANDEWALLE‡
IMA Journal of Numerical Analysis (2004) 24, 193-214,-0001,():
-1年11月30日
This paper deals with the stability of Runge–Kutta methods for a class of stiff systems of nonlinear Volterra delay-integro-differential equations. Two classes of methods are considered: Runge-Kutta methods extended with a compound quadrature rule, and Runge-Kutta methods extended with a Pouzet type quadrature technique. Global and asymptotic stability criteria for both types of methods are derived.
stability, Volterra delay-integro-differential equations, Runge–Kutta methods, compound quadrature, Pouzet quadrature.,
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34浏览
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【期刊论文】Nonlinera Stability of Runge-Kutta Methods Applied to Infinite-Delay-Differential Equations
张诚坚, CHENGJIAN ZHANG, GENG SUN
Mathematical and Computer Modelling 39 (2004) 495-503,-0001,():
-1年11月30日
In functional differential equations (FDEs), there is a class of infinite delay-differential equations (IDDEs) with porportional delay, which aries in many scientific fields such as electric me-chanics, quantum mechanics, and optics. Ones have found that there exist very different mathematical challenges between FDEs with proportional delay and those with constant delays. Some research on the numerical solutions and the corresponding analysis for the linear FDEs with proportional delays have been presented by several authors. However, up to now, the research for nonlinear case still remains to be done. For a class of IDDEs with proportional delays. It is shown under the suitable conditions that a(k, l)-algebraically stable RK method for this kins of nonlinear IDDE IS globally and asymptotically stable.
Nonlinear stability,, Runge-Kutta methods,, Infinite-delay-differential equations.,
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【期刊论文】Convergence analysis for general linear methods applied to stiff delay differential equations*
张诚坚, ZHANG Chengjian**
PROGRESS IN NATURAL SCIENCE Vol. 12, No.6, June 2002,-0001,():
-1年11月30日
For Runge-Kutta methods applied to stiff delay differential equatious (DDEs), the concept of D-convergence was pro-posed, which is an extension t o that of B-convergence in ordinary differential equations (ODEs), In this paper, D-convergence of general linear methods is discussed and the previous related results are improved. Some order results to determine D-comvergence of the methods are obtained.
D-convergence,, general linear methods,, stiff delay differential equations.,
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【期刊论文】D-convergence and GDN-stability of Runge-Kutta methods for a class of delay systems
张诚坚, C. J. Zhang a, b, * S. Z. Zhou c, X. X. Liao b
Applied Numerical Mathematics 37 (2001) 161-170,-0001,():
-1年11月30日
This paper deals with convergence and stability analysis of Runge-Kutta methods with the lagrangian interpolation (RKLMs) for a class of delay systems. We show that DA, DAS- and ASI-stability of the Runge-Kutta methods (RKMs) for ODEs imply GDN- stability of the correspnding RKLMs for DDEs, and that a DA-, DAS- and ASI-stable RKM with stage order p, together with a Lagrangian interpolation of order q, results in a D-convergent RKLM of order min {p, q+1}.
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59下载
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【期刊论文】Stability Analysis of LMMs for Systems of Neutral Multidelay-Differential Equations
张诚坚, C. J. ZHANG S. Z. ZHOU
Computers and Mathematics with Applications 38 (1999) 113-117,-0001,():
-1年11月30日
This paper deals with the asymptotic stability of theoretical and numerical solutions for systems of Neutral Multidelay-Differential Equations (NMDEs) In particular, it is shown that A(a)-stability of the Linear Multistep Methods (LMMs) for ODEs is equivalent to NGPk (a)-stability of the induced methods for NMDEs under the suitable conditions.
Stability,, Linear multistep methods,, Neutral multidelay-differential equation.,
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25浏览
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