In the present paper, we give a review of pseudo-random number generators. The new methods and theory appearing in 1990’s will be focused. This paper concerns with almost all kinds of generators such as the linear, n...In the present paper, we give a review of pseudo-random number generators. The new methods and theory appearing in 1990’s will be focused. This paper concerns with almost all kinds of generators such as the linear, nonlinear and in- versive congruential methods, Fibonacci and Tausworthe (or feedback shift regis- ter) sequences, add-with-carry and subtract-with-borrow methods, multiple prime generator and chaotic mapping, as well as the theory of combination of generators.展开更多
The finite element computing methods and the error estimations based on twoscale asymptotic analysis method (see [1]) are presented. Finally, numerical results are given for a typical model. A variety of numerical exp...The finite element computing methods and the error estimations based on twoscale asymptotic analysis method (see [1]) are presented. Finally, numerical results are given for a typical model. A variety of numerical experiments show the capabilities and reliablity of the proposed method.展开更多
In this paper, we shall discuss the homogenization problem of boundary value problems for the systems of linear elasticity with the quasi-periodic microstruc-tures, and give several basic estimations for displacement,...In this paper, we shall discuss the homogenization problem of boundary value problems for the systems of linear elasticity with the quasi-periodic microstruc-tures, and give several basic estimations for displacement,stress and strain en-ergy,which are the basis of finite element computing.展开更多
A new type of computable scheme is provided for a class of elliptic bounaryvalue problems with small periodic coefficients. The principle idea of this methodis to change the computation of original problems into the s...A new type of computable scheme is provided for a class of elliptic bounaryvalue problems with small periodic coefficients. The principle idea of this methodis to change the computation of original problems into the solving process of theperiodic solution defined in the basic condguration and boundary layer. In thispaper, a completely rigorous mathematical theory for this process is presented.展开更多
In this paper we have studied the mixed finite element method for the non stationary conduct ic n-convection problems, where the coupled equations governing viscous incompressible flow and heat transfer process, and i...In this paper we have studied the mixed finite element method for the non stationary conduct ic n-convection problems, where the coupled equations governing viscous incompressible flow and heat transfer process, and incompressible fluid are the Boussinesq approximations to the nonstationary Navier-Stokes equations.We have discussed the existence of continuous, semi-discrete and fully discrete solutions, and derive the error estimates for the approximate solutions on the continuous and discrete time cases.展开更多
In this paper, baized on the natural boudary reduction suggested by Feng and Yu, an overlapping domain decomposition method for biharmonic boundary value problems over unbounded domains is presented. By taking advanta...In this paper, baized on the natural boudary reduction suggested by Feng and Yu, an overlapping domain decomposition method for biharmonic boundary value problems over unbounded domains is presented. By taking advantage of the map ping theory, the geometric convergence of the continuous problems is proved. The numerical examples show that the convergence rate of this Schwarz iteration is in dependent of the finite element mesh size basicly, but dependent on the frequency of the real solution and the overlapping degree of subdomains.展开更多
文摘In the present paper, we give a review of pseudo-random number generators. The new methods and theory appearing in 1990’s will be focused. This paper concerns with almost all kinds of generators such as the linear, nonlinear and in- versive congruential methods, Fibonacci and Tausworthe (or feedback shift regis- ter) sequences, add-with-carry and subtract-with-borrow methods, multiple prime generator and chaotic mapping, as well as the theory of combination of generators.
文摘The finite element computing methods and the error estimations based on twoscale asymptotic analysis method (see [1]) are presented. Finally, numerical results are given for a typical model. A variety of numerical experiments show the capabilities and reliablity of the proposed method.
文摘In this paper, we shall discuss the homogenization problem of boundary value problems for the systems of linear elasticity with the quasi-periodic microstruc-tures, and give several basic estimations for displacement,stress and strain en-ergy,which are the basis of finite element computing.
文摘A new type of computable scheme is provided for a class of elliptic bounaryvalue problems with small periodic coefficients. The principle idea of this methodis to change the computation of original problems into the solving process of theperiodic solution defined in the basic condguration and boundary layer. In thispaper, a completely rigorous mathematical theory for this process is presented.
文摘In this paper we have studied the mixed finite element method for the non stationary conduct ic n-convection problems, where the coupled equations governing viscous incompressible flow and heat transfer process, and incompressible fluid are the Boussinesq approximations to the nonstationary Navier-Stokes equations.We have discussed the existence of continuous, semi-discrete and fully discrete solutions, and derive the error estimates for the approximate solutions on the continuous and discrete time cases.
文摘In this paper, baized on the natural boudary reduction suggested by Feng and Yu, an overlapping domain decomposition method for biharmonic boundary value problems over unbounded domains is presented. By taking advantage of the map ping theory, the geometric convergence of the continuous problems is proved. The numerical examples show that the convergence rate of this Schwarz iteration is in dependent of the finite element mesh size basicly, but dependent on the frequency of the real solution and the overlapping degree of subdomains.
