本文根据计算方法的特点,结合实际教学经验,从教学方法、教学内容、教学手段,对工科研究生计算方法课程教学改革进行了探讨,并提出了自己的观点.

作者根据高等数学课程的现状,结合多年实际教学经验,从教学内容,教学手段等方面,对我校高等数学课程教学进行了研究探讨,提出了自己的观点.

We gave a new integer-valued time series model,which could describe both the strong correlation data and the weak correlation data.We gave a sufficient condition for stability of the model,and studied the problem of the maximum likelihood estimation and the asymptotic properties of the estimator.

Steady solutions of Johnson-Segalman(JS) model present the steady state flow of the fluid.In this paper,the structure of solutions of steady state model is discussed and the accurate formula of steady solutions of JS model is given.Moreover,a condition is given which is necessary and sufficient for three distinct steady solutions in planar(,)to ex-ist.The JS model is simulated by using Crank-Nicolson finite difference method.

A fuzzy synthetic evaluation method for the multilevel system is introduced.fuzzy synthetic evaluation models are used to obtain the initial evaluation results of the bottom index,the evaluation results are further evaluated,then the final results of the bottom index are obtained,the evaluation results of the bottom index are regarded as the membership matrix of the superior level.By using the weight of this level and the membership matrix,the results of this level are obtained.This step is re-peated,until the results of the first level are obtained.The method is very efficient to the system with multiple levels and index,use superiority chart to decide the importance of each factor.An example demonstrates the validity of proposed method.

Firstly,the steady solution of Oldroyd-B model is given in the paper.And then the system is linearized on the steady-state solution.The stability condition is discussed through the eigenvalue of Jacobi matrix.Finally,a numerical sche-me is designed by using implicit difference method and the reasonableness of the stability condition is test.

The CSM(Coherent Signals-subspace Method) is a effective method to estimate the DOA(Direction Of Arrival) of the coherent wide-band signals by using focusing matrix.But the CSM needs more operation and is easy to be affected by advanced estimation,and it can not process signals in real time,because it needs focusing matrix and estimates in advance.This paper proposes a modified ISM(Incoherent Signals-subspace Method) which is based on the forward/backward averaging method.According to decomposing the wide-band signals into many narrow-band signals,and decreasing the relativity of the every narrow-band coherent signals by using forward/backward averaging method,we can estimate the DOA of the incoherent and coherent wide-band signals using ISM.This algorithm is realized easyly in decreasing the relativity.Although the capability is not as good as the CSM to process the coherent wide-band signals,the operation is less than the CSM.This is a fast algorithm for the DOA estimation of the wide-band signals.Simulation result and theory analysis show that this algorithm is effective.

We constructed a kernel M n(z,ξ)=14{K n(z,ξ e i h)+2K n(z,ξ)+K n(z,ξ e-i h)} of Bernstein-type based on kernel function K n(z,ξ)=Q 0(ξ)J 0(z)+Q 0(z)J 0(ξ)+2∑nk=1(Q k(ξ)J k(z)+Q k(z)J k(ξ)) of Neumann-Bessel integral operator.The integral operator with the new kernel converges to any continuous function f(z) on the unit circle Γ(z=1) uniformly,and has the best approximation order.

In this paper,we considered a class of Johnson-Segalman(JS) models involving reaction diffusion.The model is prsented as nonlinear reaction diffusion equations.By virtue of invariant manifolds and study of homoclinic and heteroclinic orbits,we described the structure of phase plane of JS model and gave enlighten global results on homoclinic and heteroclinic bifurcation in a Hamiltonian system with 3-wells potential.

With the Johnson-Segalman(JS) model as a model of the shear flow of polymeric fluid,we proved that unsteady solution is bounded and presented a priori estimation in Sobolev norm and an upwind scheme with e=0 for the model.