退化秩为0的二阶混合型方程斜微商问题解的唯一性(英文)

讨论带抛物退化线的二阶混合型方程的斜微商边值问题,这个问题包括空气动力学中Chaplygin方程的Tricomi问题作为特殊情况.先给出这个问题的提法和解的表示式,然后使用复分析方法,证明了上述二阶混合型方程斜微商问题解的唯一性.     

用同伦摄动法解Kdv-Burgers方程

利用行波变换将Kdv-Burgers方程化为常微分方程,并结合同伦摄动方法求它的二阶近似解。     

求微分方程近似周期解的一种迭代方法

给出一种求解非线性常微分方程近似周期解的新迭代方法.该方法使迭代公式更简洁、明了,迭代速度快,更适于应用.     

期权稳健定价模型及实证

建立了期权稳健定价模型,给出了欧式看涨和看跌期权的稳健定价公式,并用标准普尔500指数期权的做市商买入价和卖出价数据进行了实证研究.     

半线性双曲型方程的强间断初值问题

探讨了半线性二阶变系数严格双曲型方程的强间断初值问题 ,提出局部展平特征曲面 ,获得方程的二阶项信息 ,建立先验估计的方法 ,并应用所得的先验估计证明了强间断解的局部存在性和唯一性 ,同时给出间断解的强奇性结构 ,结果与方程组的情形一致     

AMCBFM分析微带天线阵列的电磁散射

用自适应修正特征基函数法(AMCBFM)分析微带天线的电磁散射特性.以矩量法和体面积分方程为基础,把微带天线介质部分用四面体网格剖分,对应于SWG基函数;微带天线导体部分用三角形网格剖分,对应于RWG基函数.分析了2×2微带天线阵列的单站RCS和7×7微带天线阵列的双站RCS.结果表明:AMCBFM能有效分析微带天线阵列的电磁散射特性,且具有大幅度降低阻抗矩阵大小、减少计算机内存需求等优点.     

SYNTHESIS AND ANALYSIS OF A FEEDBACK CONTROL SYSTEM

In this paper, supposing that the received signals at the input are of the formv(t)=s_1[t, x_1(t)]s_2[t, x_2(t)]+n(t) where s_i are FM signals (i=1, 2), a novel cross-coupledphase-locked loop (CCPLL(M)) and its mathematical model are obtained. The globalqualitativestructural analysis of the mathematical model of the first-order loop, the acqui-sition region and synchronization region of the first-order loop, and the synchronizationregion of the second-order loop are obtained.     

INTERPOLATED FINITE ELEMENT METHODS FOR SECOND ORDER HYPERBOLIC EQUATIONS AND THEIR GLOBAL SUPERCONVERGENCE

We develop the interpolated finite element method to solve second-order hy-perbolic equations. The standard linear finite element solution is used to generate a newsolution by quadratic interpolation over adjacent elements. We prove that this interpo-lated finite element solution has superconvergence. This method can easily be applied togenerating more accurate gradient either locally or globally, depending on the applications.This method is also completely vectorizable and parallelizable to take the advantages ofmodern computer structures. Several numerical examples are presented to confirm ourtheoretical analysis.