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1.
双曲型积分-微分方程的有限体积元方法   总被引:1,自引:0,他引:1  
赵继超  张铁 《应用数学》2003,16(3):122-127
本文研究了双曲型积分—微分方程的有限体积元方法,利用基于有限体积元的Ritz—Volterra投影的逼近性质,得到了半离散有限体积元解的最优阶L2,H^1,L∞和W^1,∞模误差估计.  相似文献
2.
一般非线性扩散方程Cauchy问题广义解的渐近性质   总被引:1,自引:0,他引:1  
本文研究了比较一般的非线性扩散方程的Cauchy问题广义解的渐近性质.利用试验函数与积分估计的方法,获得了广义解当t→∞时的渐近性质以及其广义整体解u(x,t),推广了该类方程Cauchy问题广义解的性质.  相似文献
3.
Robust solution of monotone stochastic linear complementarity problems   总被引:1,自引:0,他引:1  
We consider the stochastic linear complementarity problem (SLCP) involving a random matrix whose expectation matrix is positive semi-definite. We show that the expected residual minimization (ERM) formulation of this problem has a nonempty and bounded solution set if the expected value (EV) formulation, which reduces to the LCP with the positive semi-definite expectation matrix, has a nonempty and bounded solution set. We give a new error bound for the monotone LCP and use it to show that solutions of the ERM formulation are robust in the sense that they may have a minimum sensitivity with respect to random parameter variations in SLCP. Numerical examples including a stochastic traffic equilibrium problem are given to illustrate the characteristics of the solutions.  相似文献
4.
This article considers a class of bottleneck capacity expansion problems. Such problems aim to enhance bottleneck capacity to a certain level with minimum cost. Given a network G(V, A, C) consisting of a set of nodes V= {v1,v2,…,vn},a set of arcs A ■ {(vi, vj) | i=1,2,…, n;j=1,2,…,n} and a capacity vector C. The component cij of C is the capacity of arc (vi ,vj). Define the capacity of a subset A' of A as the minimum capacity of the arcs in A, the capacity of a family F of subsets of A is the maximum capacity of its members. There are two types of expanding models. In the arc-expanding model, the unit cost to increase the capacity of arc (vi, vj) is wij. In the node-expanding model, it is assumed that the capacities of all arcs (vi,vj) which start at the same node vi should be increased by the same amount and that the unit cost to make such expansion is wi. This article considers three kinds of bottleneck capacity expansion problems (path, spanning arborescence and maximum flow) in both expanding models. For each kind of expansion problems, this article discusses the characteristics of the problems and presents several results on the complexity of the problems.  相似文献
5.
作战群体的类型识别是兵力聚合中的一个重要问题,针对类型识别所处理的情报及所使用的知识的不确定性,尤其是情报与知识在观点上的不明确性,本文提出了基于证据理论的情报表示及组合方法,并给出了群体类型的模板表示方法,进而提出了基于组合情报与模板模糊匹配的作战群体类型识别方法。该方法能应用于各个层次的兵力聚合过程,以辅助各个指挥层次的军事决策,提高决策的速度及效率。  相似文献
6.
本文根据非晶合金局域磁各向异性随机分布的处理方法,提出了纳米微晶软磁合金的随机局域各向异性模型,对纳米微晶合金的结构与磁性的关系进行了探讨。结果表明,纳米微晶合金的软磁特性不但与随机分布的纳米晶粒的尺寸有关,而且与晶界非晶相的铁磁性有关。相邻晶粒通过晶界非晶相发生铁磁耦合,所以晶界非晶相的铁磁性严重地影响合金的宏观磁性。Fe73.5Cu1Nb3Si13.5B9纳米微晶软磁合金的X射线衍射及磁性测量结果为上述理论提供了有利的支持。  相似文献
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8.
In this paper we obtain a new global gradient estimates in weighted Lorentz spaces for weak solutions of p(x)p(x)-Laplacian type equation with small BMO coefficients in a δ-Reifenberg flat domain. The modified Vitali covering lemma, the maximal function technique and the appropriate localization method are the main analytical tools. Our results improve the known results for such equations.  相似文献
9.
In this paper, we study minimal zero norm solutions of the linear complementarity problems, defined as the solutions with smallest cardinality. Minimal zero norm solutions are often desired in some real applications such as bimatrix game and portfolio selection. We first show the uniqueness of the minimal zero norm solution for Z-matrix linear complementarity problems. To find minimal zero norm solutions is equivalent to solve a difficult zero norm minimization problem with linear complementarity constraints. We then propose a p norm regularized minimization model with p in the open interval from zero to one, and show that it can approximate minimal zero norm solutions very well by sequentially decreasing the regularization parameter. We establish a threshold lower bound for any nonzero entry in its local minimizers, that can be used to identify zero entries precisely in computed solutions. We also consider the choice of regularization parameter to get desired sparsity. Based on the theoretical results, we design a sequential smoothing gradient method to solve the model. Numerical results demonstrate that the sequential smoothing gradient method can effectively solve the regularized model and get minimal zero norm solutions of linear complementarity problems.  相似文献
10.
We derive Hölder regularity estimates for operators associated with a time-independent Schrödinger operator of the form $-\Delta +V$ . The results are obtained by checking a certain condition on the function $T1$ . Our general method applies to get regularity estimates for maximal operators and square functions of the heat and Poisson semigroups, for Laplace transform type multipliers and also for Riesz transforms and negative powers $(-\Delta +V)^{-\gamma /2}$ , all of them in a unified way.  相似文献
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