Navier-Stokes方程带Backtracking技巧的两重网格算法

1 引 言考虑二维不可压 Navier-Stokes方程:     

非Lipschitz系数的倒向半线性随机发展方程的适度解

文中将研究如下的无穷维空间的倒向半线性随机发 展方程x(t)+∫TteA(s-t)f(s,x(s),y(s))ds+∫Tte A(s-t )(g(s,x(s))+y(s))dw(s)=eA(T-t)X,在类似于Ymada条件下获得了该方程适度解的存在性和唯一性定理.     

多目标最优化的一种积分型实现算法

在文[1]中给出了求解多目标最优化的一种积分总极值的概念性算法．本文利用数论中的一致分布佳点集列，较为简便的得出了多目标最优化的积分总极值的实现算法和算法终止准则．并经过有关函数数值计算表明该算法是有效的，可用来求解多目标最优化问题的有效解．     

Isoscalar Giant Resonances of ^120Sn in the Quasiparticle Relativistic Random Phase Approximation

The quasiparticle relativistic random phase approximationmean field ground state in the response function formalism(QRRPA) is formulated based on the relativistic The pairing correlations are taken into accountin the Bardeen-Cooper-Schrieffer approximation with a constant pairing gap. The numerical calculations are performed in the case of various isoscalar giant resonances of nucleus ^120Sn with parameter set NL3. The calculated results show that the QRRPA approach could satisfactorily reproduce the experimental data of the energies of low-lying states.     

SU（3）F Meson Mass Formula from Random Phase Approximation

We present an SU(3)F meson mass formula from random phase approximation. Both the mesons of ground-state pseudoscalar octet and ground-state vector octet are described quite well by this mass formula. We also estimate the current and constituent quark masses from the naive quark model and the PCAC relation.     

红黑排序混合算法收敛速度分析

The algorithm of applying the block Gauss elimination to the Red-Black or-dering matrix to reduce the order of the system then solve the reduced system byiterative methods is called Hybrid Red-Black Ordering algorithm.In this paper,we discuss the convergence rate of the hybrid methods combined with JACOBI,CG,GMRES(m).Theoretical analysis shows that without preconditioner thesethree hybrid methods converge about 2 times as fast as the corresponding natural ordering methods.For the case that all the eigenvalues is near the real axis, the GMRES(m) algorithm converges about 3 times faster than the natural ordering GMRES(m).Various numerical experiments are presented.For large scale prob-lem with preconditioners, numerical experiments show that the GMRES(m) hybrid methods converge from about 3 times to even 5 times as fast as the natural order-ing methods and the computing time is reduced to about 1/3 even 1/6 of that of the natural ordering methods.     

金属切削过程的三维数值仿真

近年来国内外对金属切削工艺的有限元模拟的研究已有较多的研究报道，但是这些研究大多局限于二维模型，在三维切削过程的数值模拟方面有待于进一步深入研究。在实际切削过程中，工件和刀刃都具有三维几何形状；它们的相对移动也不总是正交的；因此切削是在三维状态下形成的。利用动态显示积分有限元程序，建立率相关的热弹塑性模型模拟材料在高温区的热、力学行为；采用侵蚀接触算法描述刀具与工件以及刀具与切屑之间的相互作用；同时利用单元删除法实现切屑的分离与破坏，从而实现了金属块体切削过程的三维数值仿真。     

A RANDOM FIXED POINT ITERATION FOR THREE RANDOM OPERATORS ON UNIFORMLY CONVEX BANACH SPACES

In the present paper we introduce a random iteration scheme for three random operators defined on a closed and convex subset of a uniformly convex Banach space and prove its convergence to a common fixed point of three random operators. The result is also an extersion of a known theorem in the corresponding non-random case.     

GI／G／1单重休假随机服务系统的马氏骨架方法

文献[1]引入一类具有广泛应用前景的随机过程-Markov骨架过程。借助Markov骨架过程的方法研究GI/G/1单重休假服务系统队长，及t时刻到达顾客等待时间的瞬时概率分布。     

线性规划的符号跟踪算法

分析了只含一个约束条件的线性规划最优基变量的特征，将其运用到搜寻含m个约束条件的线性规划的最优基变量，从而提出了线性规划的符号跟踪算法，为线性规划求解提供了新途径。