CONVERGENT

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Condensed Galerkin element of degree m for first-order initial-value problem with O(h^(2m+2))super-convergent nodal solutions被引量:6
《Applied Mathematics and Mechanics(English Edition)》2022年第4期603-614,共12页Si YUAN Quan YUAN 
Project supported by the National Natural Science Foundation of China(Nos.51878383 and51378293)。
A new type of Galerkin finite element for first-order initial-value problems(IVPs)is proposed.Both the trial and test functions employ the same m-degreed polynomials.The adjoint equation is used to eliminate one degre...
关键词:Galerkin method finite element method(FEM) condensed element SUPERCONVERGENCE adjoint operator initial-value problem(IVP) 
Effects of thermophoresis and thermal radiation in mixed convection three-dimensional flow of Jeffrey fluid
《Applied Mathematics and Mechanics(English Edition)》2015年第5期655-668,共14页S.A.SHEHZAD T.HAYAT A.ALSAEDI B.AHMAD 
Project supported by the Deanship of Scientific Research(DSR)of King Abdulaziz University in Jeddah(No.26-130-35-HiCi)
Mixed convection three-dimensional flow of Jeffrey fluid is studied in the presence of thermal radiation and thermophoresis. The relevant problems are formulated,and series solutions are presented for velocities, temp...
关键词:convection formulated Jeffrey Prandtl convergent admissible illustrate relaxation stretching numerically 
Nonlinear delay difference equations for housing dynamics assuming heterogeneous backward-looking expectations被引量:1
《Applied Mathematics and Mechanics(English Edition)》2007年第6期785-798,共14页梁以德 徐佳娜 崔詠芯 
China's first interest rate hike during the last decade, aiming to cool down the seemingly overheated real estate market, had aroused more caution on housing market. This paper aims to analyze the housing price dynam...
关键词:housing price dynamics delay rational difference equations equilibrium and oscillations convergent and divergent overshoot and undershoot 
COMPUTATION OF SUPER-CONVERGENT NODAL STRESSES OF TIMOSHENKO BEAM ELEMENTS BY EEP METHOD被引量:1
《Applied Mathematics and Mechanics(English Edition)》2004年第11期1228-1240,共13页王枚 袁驷 
theNationalNaturalScienceFoundationofChina (50 2 780 46) ;theDoctoralFoundationofEducationMinistryofChina (970 0 0 3 1 5)
The newly proposed element energy projection(EEP) method has been applied to the computation of super_convergent nodal stresses of Timoshenko beam elements.General formulas based on element projection theorem were der...
关键词:Timoshenko beam element super-convergent stress element energy projection method shear locking 
A UNIFORMLY CONVERGENT FINITE DIFFERENCE METHOD FOR A SINGULARLY PERTURBED INITIAL VALUE PROBLEM
《Applied Mathematics and Mechanics(English Edition)》1999年第4期40-48,共9页G. M. Amiraliyev, Hakk Duru Department of Mathematics, Y Y University, 65080 VAN, TURKEY 
Initial value problem for linear second order ordinary differential equation with small parameter by the first and second derivatives is considered. An exponentially fitted difference scheme with constant fitting fact...
关键词:singular perturbation difference scheme uniform convergence initial value condition linear ordinary differential equation 
CONVERGENT FAMILIES OF APPROXIMATE INERTIAL MANIFOLDS FOR NONAUTONOMOUS EVOLUTION EQUATIONS
《Applied Mathematics and Mechanics(English Edition)》1998年第8期765-775,共11页王宗信 范先令 朱正佑 
In this paper, the long time behavior of nonautonomous infinite dimensional dynamical systems is studied. A family of convergent approximate inertial manifolds for a class of evolution equations has been constructed w...
关键词:nonautonomous equation approximate inertial manifold spectral gap condition 
A UNIFORMLY CONVERGENT DIFFERENCE SCHEME FOR THE SINGULAR PERTURBATION PROBLEM OF A HIGH ORDER ELLIPTIC DIFFERENTIAL EQUATION
《Applied Mathematics and Mechanics(English Edition)》1996年第5期413-421,共9页刘国庆 苏煜城 
In this paper, we first consider the singularly perturbed boundary value problem for the fourth-order elliptic differential equation, establish the priori estimation of the solution of the continuous problem. Then, we...
关键词:ELLIPTIC singular perturbation difference scheme uniform convergence 
A HIGH CONVERGENT PRECISION EXACT ANALYTIC METHOD FOR DIFFERENTIAL EQUATION WITH VARIABLE COEFFICIENTS
《Applied Mathematics and Mechanics(English Edition)》1993年第3期201-207,共7页纪振义 叶开沅 
National Natural Science Foundation of China
The exact analytic method was given by [1] . It can be used for arbitrary variable coefficient differential equations and the solution obtained can have the second order convergent precision. In this paper, a new high...
关键词:exact analytic method bending of beam high convergent precision 
UNIFORMLY HIGHER ORDER ACCURATE EXTRAPOLATIONS TO SOLUTIONS OF UNIFORMLY CONVERGENT DISCRETIZATION METHODS FOR SINGULARLY PERTURBED PROBLEMS
《Applied Mathematics and Mechanics(English Edition)》1990年第3期271-276,共6页孙光甫 
Supported by the National Natural Science Foundation of China
We discuss the uniformly higher order accurate extrapolations, which are based on the uniform expansion for global error, to solutions of uniformly convergent discretization methods for singularly perturbed problems. ...
关键词:CONVERGENT UNIFORMLY applying PERTURBED RICHARDSON satisfy ADJOINT singularly perturbation Uniform 
REPRESENTATION THEOREM AND ONE-ITERATION THEOREM FOR FREDHOLM INTEGRAL EQUATION OF THE FIRST KIND Ax=y
《Applied Mathematics and Mechanics(English Edition)》1989年第7期593-597,共5页云天铨 
This work was supported by National Science Foundation of China
In this paper, two theorems are presented. The representation theorem stales: ij theFredholm integral equation of the first kindAx=y, with bounded L2 kernel, has a uniquesolutionThe one-iteration theorem states: x can...
关键词:ITERATION FIRST kernel satisfied CALCULATING EXPLICIT meaningful CONVERGENT GETTING choice 
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