试函数法在临界载荷近似值计算中的应用

以试函数拟合压杆挠曲线，用加权残值法求得临界载荷近似值，结果表明，近似值的精度与试函数接近曲线的程度有关．     

关于收敛的P—级数和的近似值

当p>1时,p-级数sum from n≥1n 1/p是收敛的.若取p=2,是著名的Bernoulli级数.早在17世纪,由Euler用代数方程与三角函数方程进行类比的方法,给出了     

具有非连续性系数的两相不可压缩可混溶问题的有限元法

Two phase ,miscible,incompressible flow in porous media is governed by a system of nonlinear partial differential equations. Many numerical methods have been given by didierent authors to this system,hut these methods need very high regularity conditions. Actualty,in most practical applications these regularity conditions couldn‘t be satisfied. In this paper,the problem of discontinuous coefficients with lower regularity conditions is considered and the error estimates are demonstrated.     

Pointwise simultaneous approximation by left gamma quasi-interpolants

Recently some classical operator quasi-interpolants were introduced to obtain much faster convergence.We consider left Gamma quasi-interpolants and give a pointwise simultaneous approximation equivalence theorem with ω2r(4)λ(f,f)∞ by means of unified the classical modulus and Ditzian-Totick modulus.     

WEIGHTED BEST LOCAL APPROXIMATION IN ORLICZ SPACE

We present a common fixed point theorem for generalized asymptotically non- expansive and noncommuting mappings in normed linear spaces.     

IRROTATIONAL APPROXIMATION TO STEADY SUPERSONIC FLOW IN TWO SPACE VARIABLES

On the assumption that the total variation of the initial data is sufficiently small, we can use the stability results of Dafermos to get the L2 estimate of the difference between the solutions to the isentropic steady Euler system and the potential flow equations with the same initial data.     

HYERS-ULAM-RASSIAS STABILITY FOR A MULTIVALUED ITERATIVE EQUATION

Because multifunctions do not have so good properties as single-valued functions, only the existence of solutions of the polynomial-like iterative equation of order 2 is discussed for multi functions. This article gives conditions for its Hyers-Ulam-Rassias stability. As a consequence, the authors obtain its Hyers-Ulam stability and prove that the equation has a unique multivalued solution near an approximate multivalued solution.     

Using reproducing kernel for solving a class of partial differential equation with variable-coefficients

How to solve the partial differential equation has been attached importance to by all kinds of fields. The exact solution to a class of partial differential equation with variable-coefficient is obtained in reproducing kernel space. For getting the approximate solution, give an iterative method, convergence of the iterative method is proved. The numerical example shows that our method is effective and good practicability.     

Approximation by some operators of Szasz-Mirakyan type

In this paper we give theorems on the degree of approximation of functions of one and two variables by certain operators of the Szasz-Mirakyan type.     

Solution of nonlinear wave equation of elastic rod

The longitudinal oscillation of a nonlinear elastic rod with lateral inertia are studied. A nonlinear wave equation is derived. The equation is solved by the method of full approximation.