检索结果-南通市图书馆

ASYMPTOTIC STABILITY FOR GAUSS METHODS FOR NEUTRAL delay differential equations

在线全文

学校读者我要写书评

暂无评论

Journal of Computational Mathematics 2002年第2期20卷 217-224页

作者： Sidibe, BS Liu, MZ Harbin Inst Technol Dept Math Harbin 150001 Peoples R China

In [4] we proved that all Gauss methods areNtau(0)-compatible for neutral delay differential equations (NDDEs) of the form y'(t) = ay(t) + by(t-tau) + cy'(t-tau), t >0, (0.1) y(t) = g(t), -tau less than or equal to t less than or equal to 0, where a, b, c are real, tau > 0, g(t) is a continuous real valued function. In this paper we are going to use the theory of order stars to characterize the asymptotic stability properties of Gauss methods for NDDEs. And then proved that all Gauss methods are Ntau(0)-stable.

关键词： delay differential equations stability Runge-Kutta methods

delay-dependent Stability Analysis of Multistep Methods for delay differential equations

在线全文

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2009年第4期25卷 607-616页

作者： Cheng-ming Huang Yang-zi Hu Hong-jiong Tian School of Mathematics and Statistics Huazhong University of Science and Technology Wuhan 430074 China Department of Mathematics Shanghai Normal University Division of Computational Science E-Institute of Shanghai Universities Scientific Computing Key Laboratory of Shanghai Universities Shanghai 200234 China

This paper deals with the delay-dependent stability of numerical methods for delay differential equations. First, a stability criterion of Runge-Kutta methods is extended to the case of general linear methods. Then, linear multistep methods are considered and a class of r（0）-stable methods are found. Later, some examples of r（0）-stable multistep multistage methods are given. Finally, numerical experiments are presented to confirm the theoretical results.

关键词： delay differential equations delay-dependent stability asymptotic stability ^-(O)-stability linearmultistep methods general linear methods

SUPERCONVERGENCE OF A DISCONTINUOUS GALERKIN METHOD FOR FIRST-ORDER LINEAR delay differential equations

在线全文

学校读者我要写书评

暂无评论

Journal of Computational Mathematics 2011年第5期29卷 574-588页

作者： Dongfang Li Chengjian Zhang School of Mathematics and Statistics Huazhong University of Science and Technology Wuhan 430074 China

This paper deals with the discontinuous Galerkin （DG） methods for delay differential equations. By an orthogonal analysis in each element, the superconvergence results of the methods are derived at nodal points and eigenpoints. Numerical experiments will be carried our to verify the effectiveness and the theoretical results of the proposed methods.

关键词： Discontinuous Galerkin methods delay differential equations Orthogonalanalysis Superconvergence.

A Stochastic Collocation Method for delay differential equations with Random Input

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Advances in Applied Mathematics and Mechanics 2014年第4期6卷 403-418页

作者： Tao Zhou Institute of Computational Mathematics Academy of Mathematics and Systems SciencesThe Chinese Academy of SciencesBeijing 100190China

In this work,we concern with the numerical approach for delay differential equations with random *** first show that the exact solution of the problem considered admits good regularity in the random space,provided that the given data satisfy some reasonable assumptions.A stochastic collocation method is proposed to approximate the solution in the random space,and we use the Legendre spectral collocation method to solve the resulting deterministic delay differential *** property of the proposed method is *** is shown that the numerical method yields the familiar exponential order of convergence in both the random space and the time *** examples are given to illustrate the theoretical results.

关键词： delay differential equations stochastic collocation sparse grid legendre spectral method

Computational method for singularly perturbed delay differential equations of the reaction-diffusion type with negative shift

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Ocean Engineering and Science 2021年第3期6卷 285-291页

作者： Gashu Gadisa Kiltu Gemechis File Duressa Tesfaye Aga Bullo Department of Mathematics Madda Walabu UniversityP.O.Box 247Bale RobeEthiopia Department of Mathematics Jimma UniversityP.O.Box 378JimmaEthiopia

A numerical method for solving singularly perturbed delay differential equations with a layer or oscillatory behavior for which a small shift is introduced in the reaction term is *** stability and convergence of the method have been *** demonstrate the efficiency of the method,two model examples have been *** results obtained by the present scheme described that the finding of the present method is accurate than the findings of the previous studies.

关键词： Singularly perturbed delay differential equations Convergence El Niño model

STABILITY CRITERIA IN TERMS OF TWO MEASURES FOR delay differential equations

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2002年第3期23卷 311-320页

作者： KOU Chun-hai(寇春海) ZHANG Shu-nian(张书年) Department of Applied Mathematics Shanghai Jiaotong University Shanghai 200240 P. R China Department of Applied Mathematics Shanghai Jiaotong University Shanghai 200240 P. R China

By using the variational Liapunov method, stability properties in terms of two measures for delay differential equations are discussed. In the case that the unperturbed systems are ordinary differential systems, employing auxiliary measure h*(t, x), criteria on nonuniform and uniform stability in terms of two measures for delay differential equations are established.

关键词： delay differential equations variational Liapunov method stability two measures

Solving delay differential equations through RBF Collocation

在线全文

学校读者我要写书评

暂无评论

Advances in Applied Mathematics and Mechanics 2009年第2期1卷 257-272页

作者： Francisco Bernal Gail Gutierrez Institute for Scientific Computing Technical University of Dresden 01062 DresdenGermany Cir 1 No.73-34 Instituto de Energia y TermodinamicaUniversidad Pontificia BolivarianaMedellinColombia

A general and easy-to-code numerical method based on radial basis functions(RBFs)collocation is proposed for the solution of delay differential equations(DDEs).It relies on the interpolation properties of infinitely smooth RBFs,which allow for a large accuracy over a scattered and relatively small discretization ***’s multiquadric is chosen as RBF and combined with the Residual Subsampling Algorithm of Driscoll and Heryudono for support *** performance of the method is very satisfactory,as demonstrated over a cross-section of benchmark DDEs,and by comparison with existing general-purpose and specialized numerical schemes for DDEs.

关键词： Meshless method delay differential equations radial basis function multiquadric adaptive collocation

A NONOSCILLATION RESULT FOR delay differential equations WITH IMPULSES

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Annals of differential equations 1994年第2期10卷 201-207页

作者：申建华庚建设

Sufficient conditions are obtained for the nonscillation of the impulsive delay differential equation

关键词： Impulses delay differential equations Nonoscillations.

OSCILLATION　AND　ASYMPTOTIC　BEHAVIOR　OF　SOLUTIONS　OF　delay　differential　equations　WITH　IMPULSES

在线全文

学校读者我要写书评

暂无评论

Annals of differential equations 1994年第1期10卷 61-68页

作者：申建华王志成

Sufficient conditions are obtained respectively for tending to zero of the nonoscillatory solutions of equation with impulses and for tending to infinite of every nonoscillatory solution. Conditions are also obtained ... 详细信息

关键词： and phrases:Impulses delay differential equations Oscillation Asymptotic Behavior