Laplace变换的数值反演算法的研究

利用交错级数的加速方法以及修正的Bessel-Gauss求和公式对满足一定条件的函数的Laplace变换的数值反演进行讨论，给出了一个条件较为有效的数值计算方法。     

C~r([0,1]~d)赋以满足Sacks-Ylvisaker条件的Gauss测度的平均宽度

确定了赋以满足Sacks-Ylvisaker正则条件的Gauss测度的高维连续函数空间C([0,1]d)在Lebesgue可积空间Lq([0.1]d)(1相似文献   

一个改进两点Gauss公式的推导及应用

本文利用代数精度的概念对两点Gauss公式进行改进，获得了改进两点Gauss公式，代数精度提高了2次。同时也进行了一个数值算例验证，得到了满意的数值效果。     

Optimal aeroassisted symmetric transfer between coplanar elliptical orbits

The problem of optimal aeroassisted symmetric transfer between elliptical orbits is concerned.The complete trajectory is assumed as consisting of two impulsive velocity changes at the beginning and the end of an interior atmospheric subarc,where the vehicle is controlled via the lift coefficient and thrust.The corresponding dynamic equations are built and bounded controls are considered.For the purpose of optimization computation,the equations are normalized.In order to minimize the total fuel consumption,the geocentric radius of initial elliptical transfer orbital perigee and controls during atmospheric flight should all be optimized.It is an optimal control problem which involves additional parameter optimization.To solve the problem,a two-level optimization method denoted by "genetic algorithm + Gauss pseudospectral method" is adopted:the genetic algorithm is used for parameter optimization and the Gauss pseudospectral method is used for optimal control problems.The flow chart of simulation is given.On this basis,the issue of more realistic modeling with two finite-thrust subarcs in the nonatmospheric part of the trajectory is simultaneously addressed.The orbital transfer problem is transformed to three continuous optimal control problems,and the constraints at different times are given,which are respectively solved by using the Gauss pseudospectral method.The obtained numerical results indicate that the optimal thrust control is of bangbang type.The minimum-fuel trajectory in the atmosphere consists of aeroglide,aerocruise and aeroglide.They are compared with the results of pure impulsive model,and the conclusions that a significant fuel saving will be achieved by synergetic maneuver are drawn.     

Gauss半群上的Mbius反演公式

将经典的M bius反演公式在Gauss半群上作了进一步的推广 .即如果对任何c∈G恒有g(c ,x) =∑a∈GAaf(ac,x)则有M bius反演公式∑h∈Uf(hc ,x) =1N ∑b∈GBbg(bc ,x)其中G为Gauss半群 .     

Gauss半群上的M(o)bius反演公式

将经典的M(o)bius反演公式在Gauss半群上作了进一步的推广. 即如果对任何c∈G恒有g(c,x)=Σa(ε)GAaf(ac,x)则有M(o)bius反演公式Σh(ε)Uf(hc,x)=1-NΣb(ε)GBbg(bc,x)其中G为Gauss半群.     

基于非离子复合乳化剂自修复微胶囊的制备

提出采用低起泡性的OP-10/AEO非离子复合乳化体系解决微胶囊制备过程中乳化缺陷问题。以改性环氧树脂E-51为芯材修复剂,通过原位聚合法制备脲醛树脂自修复微胶囊。采用光学显微镜、傅里叶红外光谱仪、同步热分析仪分别对形成过程、化学结构及热稳定性进行分析。利用Gauss拟合研究粒径分布,并探讨了乳化剂体系选择、乳化剂用量、芯壁比、搅拌速率等因素对微胶囊性能的影响。结果表明,该体系能有效改善乳化剂起泡效果,用量为5.0%,芯壁比为0.8∶1,搅拌速率为1 200 r/min,微胶囊包封率达到80%,粒径分布相对集中,具备良好的室温贮存性及热稳定性。     

基于等距节点的数值求积公式在Brownian桥测度下的平均误差

本文讨论了基于等距节点的数值求积公式在Brownian桥测度下的平均误差,得到了相应量的准确值。     

第一类抛物型变分不等式问题的微分求积法

将MQ微分求积方法(MQDQ)和局部MQ微分求积方法(LMQDQ)推广到第一类抛物型变分不等式问题的计算。首先介绍了第一类抛物型变分不等式问题,给出了时间半离散后等价的椭圆型变分不等式及经典的Uzawa格式;其次构造了Uzawa耦合格式下的MQDQ、LMQDQ方法;最后实现了数值算例,说明了方法的有效性及精度,并讨论了方法参数对解的影响。     

带Gauss型误差具有Rao简单结构的GMANOVA-MANOVA模型中未知参数的置信域

对于带Gauss型误差具有Rao简单结构的GMANOVA-MANOVA模型利用极大似然估计的方法构造了未知参数的置信域。由此可更好地了解此模型的理论意义和实用价值。