α-混合列强稳定等价条件

本文讨论了α-混合序列的等价条件，对混合速度要求低，改进了相关结果．     

离散鞅的Chung重对数律

1990年,Huggins利用Skorokhod逼近的办法给出了平方可积鞅的Chung重对数律,但结果必须在具有有限的2 δ阶矩的条件下成立。本文在不同的条件下,得出了Chung重对数律,而这些条件只涉及到二阶矩。     

非光滑方程组牛顿法的全局收敛性分析

通过定义一种新的*-微分,本文给出了局部Lipschitz非光滑方程组的牛顿法,并对其全局收敛性进行了研究.该牛顿法结合了非光滑方程组的局部收敛性和全局收敛性.最后,我们把这种牛顿法应用到非光滑函数的光滑复合方程组问题上,得到了较好的收敛性.     

非线性Sobolev方程Galerkin解法的后处理与超收敛

研究非线性Sobolev方程Galerkin解法的后处理与超收敛．对半离散及全离散格式,证明了当有限元空间次数,r≥2时,有限元解经过后处理,H1-模和L2-模误差估计可分别提高一阶．     

跳过程的不变测度与q对的不变测度

本文讨论了一般状态空间上具有不变测度的q对的对偶q对的构造问题,证明了正则q对的不变测度是它的相应跳过程的不变测度的充要条件是该q对的对偶q对是正则的。     

CASCADIC MULTIGRID FOR PARABOLIC PROBLEMS CASCADIC MULTIGRID FOR PARABOLIC PROBLEMS

1. IntroductionBornemann and Deuflhaxd [2][3] have Presented a new take of multgiid methods,the sthcalled cascadic multigrid. Compared with usual multigrid ndhods, it reqno coarse grid correCtions at all that may be viewed as a "one way" multis. AnotherdiStinctive feature is performing more iterations on coarser levels so as to obtain leSSiterations on finer levels. Numerical openments show that this ndhod is yak effectivefor second order elliptic problems.In the paper3 we will consider the…     

一维半导体流体动力学模型的局部有界解

本文讨论了能量方程是压力一密度关系的一维半导体流体动力学模型方程,通过把欧拉－泊松方程变成拟线性波动方程,利用拟线性波动方程的局部解存在性,得到一维半导体流体动力学模型的局部解,并且解是有界的。     

方程 λ(1+ ce~(-τλ)+a+ be~(-τλ)= 0所有根具有负实部的充要条件

考虑方程     

CONVERGENCE RATES FOR DIFFERENCE SCHEMES FOR POLYHEDRAL NONLINEAR PARABOLIC EQUATIONS

We build finite difference schemes for a class of fully nonlinear parabolic equations. The schemes are polyhedral and grid aligned. While this is a restrictive class of schemes, a wide class of equations are well approximated by equations from this class. For regular （C2,α） solutions of uniformly parabolic equations, we also establish of convergence rate of O（α）. A case study along with supporting numerical results is included.     

无约束非光滑优化问题信赖域算法的收敛条件

1 引言 考虑下列无约束非光滑优化问题 minf(x),(1) x∈R~n,其中f为R~n上的局部Lipschitz函数,本文将‖·‖_2简记为‖·‖.记下列信赖域子问题为S∪B(x,△). min m(x,s)=φ(x,s)+1/2s~TBs, 其中φ:R~(2m)→R为f的迭代函数。 对于无约束非光滑优化问题(1),[11],[13],[3]、[4]和[5]分别在特殊的条件下给出了信赖域算法用以求解(1)的收敛性结果。最近,[10]、[2]和[6]在不同的假设条件下分别给出了信赖域算法求解无约束非光滑优化问题的一般模型,并在子问题的目标函数满足局部一致有界性条件时证明了算法模型的整体收敛性。在目标函数满足某种正则性条件时,[11]和[9]给出了当信赖域子问题的目标函数中二次项不满足一致有界性条件时的收敛性结果.本文则在目标函数仅为局部Lipschitz函数时得到了和[8]、[11]、[9]相同的收敛性结果。     

ASYMPTOTIC STABILITY FOR GAUSS METHODS FOR NEUTRAL DELAY DIFFERENTIAL EQUATIONS

1. IntroductionIn the past, most of the work on the asymptotic stability for delay and neutra1 delay differential equations dealt with finding the stability region independently of the delay term. AlMutib{l] and recet1y N. Gug1ie1mi [8, 9, 10] reTdsited t…     

SUBSCRIPTIONS

The Annals of Differential Equations (ISSN 1002-0942/CN 35-1125/O1) is published quarterly (February, May, August and November) by Fuzhou University, Fuzhou, Fujian, CHINA. It is being distributed both in China and abroad. The annual subscrip-tion price for 2012 is USD 200;     

INFORMATION FOR AUTHORS

The Journal of Computational Mathematics is an international journal on numerical methods, analysis and applications. It publishs original research papers in English, French or German, but preferably in English. From 1998, it has appeared bimonthly（instead of quarterly）.