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Publications
Publications (28)
Nowadays, the traffic safety problem has become the focus of attention and making a sound and reasonable traffic rules and regulations is the trend. In this paper, based on the traffic rules of driving on the right lane unless overtaking happen, the study first establish the car-following and overtaking model .In car-following model, analyzing the...
This paper, which introduces the destination of one dimensional search, search interval and solving method, improves on the basic method and builds faster method of one dimensional search which includes inexact research and exact research. And then this paper concludes the method of global optimization and makes a further contrast and discuss about...
It is a highly nonlinear problem of 3-D elasto-plastic contact with friction. To obtain the key information about the real size, displacement and traction in contact zone, the elements in contact and plastic zone should be subdivided. However, the increase of degrees of freedom is limited by the problem-solving scale when traditional BEM is used, f...
In traditional thinking, when the elastic problems are solved, we need to repeatedly plot element grids and analyze computing results according to diverse precision requirement. Against the malpractice exists in the above process, a new method of error estimation was suggested on H-R adaptive boundary element method in this paper. Based on the disc...
In order to overcome the difficulties of low computational efficiency and high memory requirement in the conventional boundary element method for solving large-scale potential problems, a fast multipole boundary element method for the problems of Poisson equation is presented. First of all, through the multipole expansion and local expansion for th...
In order to overcome the difficulties of low computational efficiency and high memory requirement in the conventional boundary element method for solving large-scale potential problems, a fast multipole boundary element method for the problems of Laplace equation is presented. through the multipole expansion and local expansion for the basic soluti...
It is known that the Mann iteration is for approximating fixed points of nonexpans-ive single-valued mappings. However, in general the Mann iteration process has only weak convergence. In recent years, Sastry, Babu and Panyanak introduced the Mann and Ishikawa iteration scheme for nonexpansive multi-valued mapping and obtained the strong convergen-...
This paper analyze the effect on urban vehicle emission pollutants diffusivity, which is produced by urban street buildings structure, wind, wind speed and sunlight, the conclusion is: (1) the condition that urban street two sides building's height is not same is propitious for pollutants diffusivity, and so does parallel; (2) under the effect of a...
Differential equations is proposed when people study the variational equation of the orbits in discrete dynamical systems. It has important applications in many areas, including differential equations numerical methods, finite element method, control theory and computer science research. In recent years, many authors studied the properties of diffe...
Using wavelet boundary element method to solve Laplace equation, the purpose is to solve the difficulties of singular integrals in natural boundary element method, reduce computation and improve accuracy. The basic idea is that the differential equation is matched by an equivalent variational problem after natural boundary element naturalization, t...
China has a huge population. Now, it is facing a more complex trend of population change than the one in the 20th century. Population issue is the key factor restricting China's development. As further slowing-down population growth, improving population quality, developing human resources, and properly solving the issue of population with overall...
Previous finite element analysis about the nonlinear degenerate wave equation mainly focused on convergence based on regular
meshes. Recently, superconvergence based on anisotropic mesh has become a hot topic in finite element analysis. In this paper,
convergence analysis of the bilinear finite element method to a kind of nonlinear degenerate wave...
In this paper, a kind of inverse eigenvalue problem which is the reconstruction of real symmetric five-diagonal matrix by
there different eigenpairs is proposed. Given there distinguished eigenpairs, using the special computational relationship
of Jacobi matrix and symmetric five-diagonal matrix, the solvability of the problem is discussed, and the...
Through the research of the parallel computational model based on the principal and subordinate mode and the basic theory of Gmres Algorithm in Krylov subspace, this essay raises a improvement parallel Predict-Correct Gmres(m) algorithm which posses Predict-Correct pattern, and shows the computing examples for linear equations. After the comparison...
According to the problem of boarding time arranged, this paper first uses an implicit enumeration method, then checks for all possible programs to conduct a preliminary screening and gets a better boarding time arranged in steps. Secondly, we establish an analytic hierarchy model; in accordance with three typical of mill type (Small aircraft A320,...
The shadow price, which is determined for certain economic development goal to realize, can reflect the resources true value compared to the market price and promote to use the economical price of the resources reasonably. In this paper we design a resources purchase quantity algorithm which is based on the shadow price theoretical, A mathematical...
The Method of Lines is used to research homogeneous and inhome geneous nonlinear Burgers equation in this paper, and also the numerical solution to the initial value and the boundary value problem is derived. The results of numerical simulation shows that the method is characterized by good stability and high accuracy.
This paper mainly presents the general model and solution of multi-objective linear programming problem under fuzzy constraint and An illustrative example is provided to demonstrate the approach. Also multi-objective fuzzy linear programming problem which contains the solution to the objective function with fuzziness or both the objective function...
First based on figures presented in the historical data, this paper first uses Malthus’ model of population growth as reference
and establishes the mathematical model 1 about China’s population size and time by adopting the methods of regression and
fitting; second through the adaptation of linear multiple regression method to make regression and f...
The algorithm is a new approach for solving eigenvalue problem which is based on the P (p, q, w) rotation transform; it is the effective way for solving all the eigenvalues and eigenvectors of the general matrix at present, and it is applicable to both cases of the symmetric matrix and non-symmetric matrix. The method uses Householder matrix, first...
The water quality prediction is an important basis to implement water pollution control programs. In this paper, the gray system method is used to build a mathematical model of water quality prediction for the Yangtze River and using computer to simulate it to complete the implementation of the method for solving the model. Finally we find the meth...
The replacement problem of equipment is studied by employing the dynamic planning principle. This paper extends the present common dynamic programming model that only includes the decision-making of keep and replacement to the model that includes the decision-making of keep, replacement and general overhaul, and builds dynamic planning model for re...
Rational interpolation is a method to deal with Interpolation approximation problems using rational polynomial functions. Especially to functions with a pole, rational interpolation method is obviously superior to polynomial interpolation. Besides, rational interpolation also can be used to image processing aspects, and to some extent , it achieve...
With the coming of knowledge economics, Knowledge management level has been attracted more and more attention. However, there are many shortcomings in the existing level of evaluation of knowledge management: So we introduce the fuzzy judgment method, and utilizes this law in the result analysis of student scholarship evaluation, manifests its feas...
The water quality assessment is an important basis for implementing water pollution control planning. In this paper, we use fuzzy comprehensive evaluation method to build a mathematical model of the Yangtze River Water Quality Assessment. Finally we find the method to solve the water pollution situation of the Yangtze River by comprehensive evaluat...
DC is a divide and conquers method for short. Its basic idea is to divide the given real symmetric tridiagonal matrix A into two lower-order submatrix A1 , A2 first, then glue the eigenvalues of the two submatrixes together and find the eigenvalue and eigenvector of the original symmetric triangular matrix by means of some calculations. It is that...