某些广义插值在L^2πp和Lp（R）空间的逼近

给出了两种插值算子，并研究了它们在L^2πp和Lp(R)空间上的逼近阶，用实数α阶的积分模给出逼近度。     

使用基样条构造多分辨率逼近及小波

我们首先介绍了Ｂ－样条及基样条，然后用ｍ阶的Ｂ－样条Ｎｍ（ｘ）生成一个Ｌ＾２（Ｒ）中一个比例为ｒ的多分辨逼近，而且用（ψｔ（ｘ）＝Ｌ＾（ｍ）２ｍ（ｒｘ－ｔ），ｔ＝１，２，．．．ｘ－１）构造了相应的小波空间，这里Ｌ２ｍ为２ｍ阶的基样条，最后，我们给出了小波的分解与合成算法。     

Bernstein-Durrmeyer算子的加权同时逼近等价定理

本文借助修正的Voronovskaja定理,用更一般的光滑模函数来刻划加权同时逼近阶,建立了加权同时逼近等价定理,统一了非最优逼近阶及饱和阶的特征刻划.     

Bernstein-Durrmeyer算子的加权同时逼近等价定理

本文借助修正的 Ｖｏｒｏｎｏｖｓｋａｊａ定理,用更一般的光滑模函数来刻划加权同时逼近阶,建立了加权同时逼近等价定理,统一了非最优逼近阶及饱和阶的特征刻划．     

一类广义插值在LM^Ba空间中的逼近

先引入了由一列Orlicz空间生成的Ba空间(LMBa)的定义,然后用分数阶α的连续模给出一类广义插值在LBMa空间中逼近阶.     

一类广义插值在LBaM空间中的逼近

先引入了由一列Orlicz空间生成的Ba空间(LBaM)的定义,然后用分数阶α的连续模给出一类广义插值在LBaM空间中逼近阶.     

二元二次对角逼近的逼近阶

给出了二元二次对角逼近的逼近阶     

某些广义插值在L_p ~(2π)和L_p(R)空间的逼近(英文)

给出了两种插值算子，并研究了它们在和L~(2π)_p和Lp（R）L空间上的逼近阶．用实数α阶的积分模给出逼近度．     

关于Baskakov—Kurrmeyer算子的局部逼近

本文主要讨论了用Ｈｏｌｄｅｒ连续函数表示Ｂａｓｋａｋｏｖ－Ｄｕｒｒｍｅｙｅｒ算子局部逼近阶的特征刻划问题。     

变阶可解族的带权逼近与插值逼近

本文讨论了变阶可解逼近族的插值逼近和带权逼近(权在插值点集Z上趋于无穷而在Z外为1)的关系.指出对变阶可解族而言,当逼近解为非亏损时,稠密性假设是自然满足的,且此时的最佳插值逼近等于该带权最佳逼近的极限.     

Homeomorphs and amallamorphs of the Petersen graph

Let P be the Petersen graph. The main results of this paper are the discovery of infinite families of chromatically equivalent pairs of P homeomorphs and the discovery of infinite families of flow equivalent pairs of P amallamorphs. In particular, three families of P homeomorphs with 8 parameters, five families with 7 parameters and many families with fewer parameters are obtained. Also one family of P amallamorphs with 9 parameters, three families with 7 parameters, seven families with 6 parameters and many families with fewer parameters are obtained.     

附加非线性振子的双稳态电磁式振动能量捕获器动力学特性研究

随着微机电科技的进步,利用环境振动进行系统自供电已经成为目前非线性动力学研究的热点.将质量-弹簧-阻尼系统与双稳态振动能量捕获系统相结合,提出了附加非线性振子的双稳态电磁式振动能量捕获器,建立系统的力学模型及控制方程.通过数值仿真研究了简谐激励下质量比和调频比发生变化时附加非线性振子的双稳态电磁式振动能量捕获器的动力学响应.通过与附加线性振子双稳态系统的对比,获得了上述参数对附加非线性振子的双稳态电磁式振动能量捕获器发生大幅运动的影响规律,显示出附加非线性振子的双稳态电磁式振动能量捕获器的优越性,并获得了附加非线性振子的双稳态电磁式振动能量捕获器发生连续大幅混沌运动的最优参数配合.上述研究结果为双稳态电磁式振动能量捕获系统的相关研究提供了理论基础.     

变厚度圆薄板非对称非线性弯曲问题

首先将直角坐标系中的横向变厚度薄板的大挠度方程,转化到极坐标系中的变厚度圆薄板的非对称大挠度方程·　此方程和极坐标系中径向、切向两个平衡方程联立求解·　将物理方程和中面应变非线性变形方程,代入3个平衡方程,可得用3个变形位移表示的3个非对称非线性方程·　用Fourier级数表示的解代入基本方程,获得相应的基本方程·　在周边夹紧边界条件下,用修正迭代法求解·　作为算例,研究了余弦形式载荷作用下的问题,还给出了载荷与挠度的特征曲线,曲线依据变厚度参数变化而变化,其结果和物理概念完全吻合·     

一种资源投入不确定情形下的合作博弈形式及收益分配策略

首先,将经典合作博弈进行扩展,提出了一类模糊联盟合作博弈的通用形式,涵盖常见三种模糊联盟合作博弈,即多线性扩展博弈、比例模糊博弈与Choquet积分模糊博弈.比例模糊博弈、Choquet积分模糊博弈的Shapley值均可以作为一种特定形式下模糊联盟合作博弈的收益分配策略,但是对于多线性扩展博弈的Shapley值一直关注较少,因此利用经典Shapley值构造出多线性扩展博弈的Shapley值,以此作为一种收益分配策略.最后,通过实例分析了常见三类模糊联盟合作博弈的形式及其对应的分配策略,分析收益最大的模糊联盟合作对策形式及最优分配策略,为不确定情形下的合作问题提供了一定的收益分配依据.     

Sparse Linear Algebra and Geophysical Migration: A Review of Direct and Iterative Methods

The pre-stack depth migration of reflection seismic data can be expressed, in the framework of waveform inversion, as a linear least squares problem. Together with the precise definition of this operator, we detail additional main characteristics of the forward model, like its huge size, its sparsity and the composition with convolution. It ends up with a so-called discrete ill-posed problem, whose acceptable solutions have to undergo a regularization procedure. Both direct and iterative methods have been implemented with specific attention to the convolution, and then applied to a given data set: a synthetic 2-dimensional profile of revealing size with some added noise. The efficiency with regard to computational effort and storage requirements is evaluated. The needed regularization of the solution is thoroughly studied in both cases. From the point of the global inverse problem, the extra feature of providing a solution that can be differentiated with respect to a parameter such as background velocity is also discussed.     

关于态射的加权Moore-Penrose逆

研究了范畴中态射 f关于态射β和γ的加权 Moore-Penrose逆 fβ,γ+,分别给出了一般态射、有满单分解态射与有核 (上核 )的 fβ,γ+存在的充要条件及其相应的表达式 ,推广了 f关于对称态射β和γ的加权Moore-Penrose逆的相应结果 .     

A one‐dimensional computational model for hyperelastic string structures with Coulomb friction

In this paper, we consider a new model for the simulation of textiles with frictional contact between fibers and no bending resistance. In the model, one‐dimensional hyperelasticity and the Capstan equation are combined, and its connection with conventional hyperelasticity and Coulomb friction models is shown. Then, the model is formulated as a problem with the rate‐independent dissipation, and we prove that the problem possesses proper convexity and continuity properties. The article concludes with a numerical algorithm and provides numerical experiments along with a comparison of the results with a real measurement. Copyright © 2016 John Wiley & Sons, Ltd.     

带两个服务等级的三台机最优在线算法

研究了带服务等级约束的三台平行机在线排序问题.每台机器和每个工件的服务等级为1或者2,工件只能在等级不高于它的机器上加工,即等级为1的工件只能在等级为1的机器上加工,等级为2的工件可在所有机器上加工.每个工件的加工时间为一个单位,目标是极小化所有工件的总完工时间.考虑两种情形:当一台机器等级为1,两台机器等级为2时,给出了竞争比为17/14的最优在线算法;当两台机器等级为1,一台机器等级为2时,给出了竞争比为43/36的最优在线算法.     

产能约束下的闭环供应链制造商合作策略研究

构建了一个由制造商、回收商和零售商组成的闭环供应链模型,运用Stackelberg博弈对产能约束下制造商的合作策略进行了研究。研究发现:制造商始终有与回收商或零售商合作的经济动机,且当产能较小时,更倾向于与零售商合作;反之,则更倾向与回收商进行合作。此外,相对于无合作模式,不同合作策略对于回收率、供应链整体利润、新产品与再制品总体环境影响程度以及消费者剩余的影响会随着制造商产能大小的变化发生改变,而不同合作策略对于总体环境影响程度的影响与制造商的再制造水平也存在关联。     

A combined nodal continuous-discontinuous finite element formulation for the Maxwell problem

Continuous Galerkin formulations are appealing due to their low computational cost, whereas discontinuous Galerkin formulation facilitate adaptative mesh refinement and are more accurate in regions with jumps of physical parameters. Since many electromagnetic problems involve materials with different physical properties, this last point is very important. For this reason, in this article we have developed a combined cG-dG formulation for Maxwell’s problem that allows arbitrary finite element spaces with functions continuous in patches of finite elements and discontinuous on the interfaces of these patches. In particular, the second formulation we propose comes from a novel continuous Galerkin formulation that reduces the amount of stabilization introduced in the numerical system. In all cases, we have performed stability and convergence analyses of the methods. The outcome of this work is a new approach that keeps the low CPU cost of recent nodal continuous formulations with the ability to deal with coefficient jumps and adaptivity of discontinuous ones. All these methods have been tested using a problem with singular solution and another one with different materials, in order to prove that in fact the resulting formulations can properly deal with these problems.