共查询到16条相似文献,搜索用时 78 毫秒
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通过构造适当的非负鞅,将Doob鞅收敛定理应用于几乎处处收敛的研究,给出了一类非齐次树上m重连续状态非齐次马氏链的若干强大数定律,推广了相关结果. 相似文献
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通过构造适当的非负鞅,将Doob鞅收敛定理应用于几乎处处收敛的研究,给出了一类非齐次树上马氏链场加权和滑动平均的若干强偏差定理. 相似文献
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树指标随机过程已成为近年来发展起来的概率论的研究方向之一.强极限定理一直是国际概率论界研究的中心课题之一.通过构造适当的非负鞅,将Doob鞅收敛定理应用于几乎处处收敛的研究,研究给出了一类非齐次树上m阶非齐次马氏链的若干强极限定理. 相似文献
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一类非齐次树上的Shannon-McMillan定理 总被引:2,自引:0,他引:2
通过构造适当的辅助鞅差序列,利用鞅差序列的收敛定理给出了一类特殊非齐次树上具有a.e.收敛性质的Shannon-M cM illan定理. 相似文献
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《应用泛函分析学报》2016,(3)
树指标随机过程已成为近年来发展起来的概率论的研究方向之一.强偏差定理一直是国际概率论界研究的中心课题之一.本文通过构造适当的非负鞅,将Doob鞅收敛定理应用于几乎处处收敛的研究,给出了一类非齐次树上m阶非齐次马氏链的一类强偏差定理. 相似文献
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强偏差定理一直是国际概率论界研究的中心课题之一.通过构造适当的非负鞅,将Doob鞅收敛定理应用于几乎处处收敛的研究,给出了一类特殊非齐次树上连续状态马氏泛函的若干强偏差定理. 相似文献
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Anant Kant Shukla T.R. Ramamohan S. Srinivas 《Communications in Nonlinear Science & Numerical Simulation》2012,17(10):3776-3787
We demonstrate the efficiency of a modification of the normal homotopy analysis method (HAM) proposed by Liao [2] by including a non-homogeneous term in the auxiliary linear operator (this can be considered as a special case of “further generalization” of HAM given by Liao in [2]). We then apply the modified method to a few examples. It is observed that including a non-homogeneous term gives faster convergence in comparison to normal HAM. We also prove a convergence theorem, which shows that our technique yields the convergent solution. 相似文献
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运用随机条件熵的概念和绝对平均收敛的一些性质,利用H S Chang研究齐次马氏链熵率收敛速度的方法考虑了在给定条件下的一类有限非齐次马氏链熵率的指数收敛速度. 相似文献
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A numerical method is established for computing the weakly lower semicontinuous envelope of integral functionals with non-quasiconvex integrands. The convergence of the method is proved and it is shown that the method is capable of capturing curved and non-homogeneous microstructures. Numerical examples are given to show the effectiveness of the method for capturing curved and non-homogeneous laminated microstructures. 相似文献
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Xin Li 《Advances in Computational Mathematics》2008,29(4):393-413
Approximate solutions of boundary value problems of homogeneous modified Helmholtz equations on the unit ball are explicitly
constructed by the method of fundamental solutions (MFS) with the order of approximation provided. Hyperinterpolation is used
to find particular solutions of non-homogeneous equations, and the rate of convergence of solving boundary value problems
of non-homogeneous equations is derived. Numerical examples are shown to demonstrate the efficiency of the methods.
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In this paper, we design a partially penalized immersed finite element method for solving elliptic interface problems with non-homogeneous flux jump conditions. The method presented here has the same global degrees of freedom as classic immersed finite element method. The non-homogeneous flux jump conditions can be handled accurately by additional immersed finite element functions. Four numerical examples are provided to demonstrate the optimal convergence rates of the method in $L^{\infty}$, $L^{2}$ and $H^{1}$ norms. Furthermore, the method is combined with post-processing technique to solve elliptic optimal control problems with interfaces. To solve the resulting large-scale system, block diagonal preconditioners are introduced. These preconditioners can lead to fast convergence of the Krylov subspace methods such as GMRES and are independent of the mesh size. Four numerical examples are presented to illustrate the efficiency of the numerical schemes and preconditioners. 相似文献