利用二阶方向导数极大值检测红外小目标

为提高复杂环境下红外小目标的检测率,提出了基于二阶方向导数极大值的红外小目标检测算法。该算法首先对二阶方向导数的性质进行了分析,对极大值进行阈值翻转操作,将背景中的平坦成分和边缘成分剔除。接着,根据小面模型对背景进行预测,并以预测误差为权值进一步增强小目标区域。以上2个步骤的计算可通过4个卷积实现,加快了检测速度。最后,对少量候选小目标计算局部对比度,降低了虚警率。实验结果表明：该检测算法在6种复杂背景下平均信杂比增益为78.413 0,平均背景抑制因子为35.079 6,具有较强的鲁棒性和较高的检测率。     

光沉积Ru和RuO2的锐钛矿TiO2纳米片的光解水产氧

采用水热法以HF作为结构调控剂合成了主要暴露（001）面的锐钛矿TiO₂纳米片,通过光沉积方法分别合成了负载Ru和RuO₂物种的光催化剂。利用X射线衍射、透射电镜和氢气程序升温还原等分析表征了催化剂的结构性质。通过光解水产氧反应来研究催化剂的催化性能,详细考察了Ru含量、负载方式以及氧化和还原处理等因素的影响,光解水产氧速率的差异证明了Ru物种在不同晶面的电荷-空穴分离效应。与负载单一助催化剂的Ru/TiO₂和RuO₂/TiO₂样品相比,活性最优的0.5%Ru-1.0%RuO₂/TiO₂样品由于负载了双助催化剂,其催化活性得到更大的提高,证实了在锐钛矿TiO₂上的晶面电荷-空穴分离效应.     

A new combined finite element‐upwind finite volume method for convection‐dominated diffusion problems

In this article, we develop a combined finite element‐weighted upwind finite volume method for convection‐dominated diffusion problems in two dimensions, which discretizes the diffusion term with the standard finite element scheme, and the convection and source terms with the weighted upwind finite volume scheme. The developed method leads to a totally new scheme for convection‐dominated problems, which overcomes numerical oscillation, avoids numerical dispersion, and has high‐order accuracy. Stability analyses of the scheme are given for the problems with constant coefficients. Numerical experiments are presented to illustrate the stability and optimal convergence of our proposed method. © 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 799–818, 2016     

On the existence of Pettis integrable functions which are not Birkhoff integrable

Let be a weakly Lindelöf determined Banach space. We prove that if is non-separable, then there exist a complete probability space and a bounded Pettis integrable function that is not Birkhoff integrable; when the density character of is greater than or equal to the continuum, then is defined on with the Lebesgue measure. Moreover, in the particular case (the cardinality of being greater than or equal to the continuum) the function can be taken as the pointwise limit of a uniformly bounded sequence of Birkhoff integrable functions, showing that the analogue of Lebesgue's dominated convergence theorem for the Birkhoff integral does not hold in general.

     

Deterministic and random fixed points for maps on extension type spaces

We present a variety of deterministic and random fixed point results for very general spaces and classes of maps.     

可测函数序列关于弱收敛概率测度序列积分的极限定理

研究了可测函数序列关于弱收敛概率测度序列积分的极限定理及其控制收敛定理,并给出了概率测度弱收敛的若干新的等价条件.     

制造商与销售商双向选择与利益分配

分别建立制造商和销售商主导的供应链的利润分配模型,阐明为什么制造商和销售商都努力使自己成为供应链的主导企业,说明销售商主导型供应链竞争存在优势的原因.制造商主导的供应链中,制造商通过决定产品的批发价格最优化自身的利润分配;在销售商主导的供应链中,销售商通过决定批量折扣率达到对产品批发价格的控制,为销售商带来更大的利润.制造商和销售商在各自主导供应链的利润分配均大于供应链总体利润最大时的利润平均分配.给出一个具体的算例验证模型的结论.     

Stabilized approximation to degenerate transport equations via filtering

We analyze a stabilization technique for degenerate transport equations. Of particular interest are coupled parabolic/hyperbolic problems, when the diffusion coefficient is zero in part of the domain. The unstabilized, computed approximations of these problems are highly oscillatory, and several techniques have been proposed and analyzed to mitigate the effects of the sub-grid errors that contribute to the oscillatory behavior. In this paper, we modify a time-relaxation algorithm proposed in [1] and further studied in [10]. Our modification introduces the relaxation operator as a post-processing step. The operator is not time-dependent, so the discrete (relaxation) system need only be factored once. We provide convergence analysis for our algorithm along with numerical results for several model problems.     

Local discontinuous galerkin approximation of convection‐dominated diffusion optimal control problems with control constraints

In this article, we investigate local discontinuous Galerkin approximation of stationary convection‐dominated diffusion optimal control problems with distributed control constraints. The state variable and adjoint state variable are approximated by piecewise linear polynomials without continuity requirement, whereas the control variable is discretized by variational discretization concept. The discrete first‐order optimality condition is derived. We show that optimization and discretization are commutative for the local discontinuous Galerkin approximation. Because the solutions to convection‐dominated diffusion equations often admit interior or boundary layers, residual type a posteriori error estimate in L² norm is proved, which can be used to guide mesh refinement. Finally, numerical examples are presented to illustrate the theoretical findings. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 339–360, 2014