结构动力分析一种简易的直接积分法

本文利用方块脉冲函数优良的运算性质,提出一种结构动力分析简易的直接积分法——方块脉冲函数法,具有无条件稳定的积分格式,并表明方法的可行和有效.     

Higher-order implicit strong numerical schemes for stochastic differential equations

Higher-order implicit numerical methods which are suitable for stiff stochastic differential equations are proposed. These are based on a stochastic Taylor expansion and converge strongly to the corresponding solution of the stochastic differential equation as the time step size converges to zero. The regions of absolute stability of these implicit and related explicit methods are also examined.     

板型燃料组件内部流场数值分析

为板型燃料组件的设计和实验研究提供参考 ,采用商用流体力学计算程序 CFX5对板型燃料组件内部流场进行了数值模拟 ,以获得各流速下的板间流场。数值计算结果表明 :板型燃料组件不同流道和单一流道内的流速分布基本均匀 ,在 2 0个流道中居中的 3～ 5流道内的流量比其它流道小一些 ,其中中间流道内的流量最小 ,其流量与平均流量的误差小于 10 % ;提梁对其后部速度场的影响较大 ,对其后部压力场的影响很小。当板间水隙的最大加工误差为0 .15 mm时 ,该流道内的流量与流道内平均流量的误差接近10 %。组件进出口差压计算值与实验值比较接近 ,证明了计算结果的可靠性     

Mafia和Hfss对等梯度加速结构耦合器的数值模拟与比较

提出的数值模拟过程是关于直线加速器加速结构耦合器的设计的。Mafia程序和Hfss程序分别被用来模拟一截S—Band的三腔等梯度加速结构,其两端分别为输入耦合器和输出耦合器。通过Mafia程序和Hfss程序模拟了该结构的传输特性,发现两者的模拟结果能很好吻合。     

多周期Probit模型中MLE的存在性

本文我们讨论了多周期Probit模型中MLE的存在性问题,给出了当协方差阵已知时,参数的MLE存在的充要条件;当协方差阵未知但具有序列结构时,参数的MLE存在的一个必要条件和一个充分条件.     

求解随机变量数字特征的两种有效方法

求解随机变量的数字特征是数理统计中的一个重要课题，本文利用泰勒级数和条件数学期望给出了正态分布数字特征的求解方法，并将所得结果做了适当的推广。     

Indirect boundary element method for unsteady linearized flow over prolate and oblate spheroids and hemispheroidal protuberances

The indirect boundary element method was used to study the hydrodynamics of oscillatory viscous flow over prolate and oblate spheroids, and over hemispheroidal bodies hinged to a plate. Analytic techniques, such as spheroidal coordinates, method of images, and series representations, were used to make the numerical methods more efficient. A novel method for computing the hydrodynamic torque was used, since for oscillatory flow the torque cannot be computed directly from the weightings. Instead, a Green's function for torque was derived to compute the torque indirectly from the weightings. For full spheroids, the method was checked by comparing the results to exact solutions at low and high frequencies, and to results computed using the singularity method. For hemispheroids hinged to a plate, the method for low frequencies was checked by comparing the results to previous results, and to exact solutions at high frequencies. Copyright © 2004 John Wiley & Sons, Ltd.     

一类非线性弹簧振子的周期性振动

本文用数值计算的方法讨论了一类非线性弹簧振子的周期性振动及其特点．     

Kinetics and equilibrium of small metallic clusters: Ab initio confinement molecular dynamics study of 4

The ab initio molecular dynamics (AIMD) [1] is combined with the heuristic, successive confinement method of surveying a potential energy surface (PES) [2], thereby offering a framework for the simulation study of kinetics and equilibrium properties of metallic clusters. This approach is applied to the study of Au₄, a cluster possessing a simple but specific PES, which consists of very shallow and deep basins and due to this presents a challenge to the conventional AIMD methods. Among other things, the probabilities of the transitions between isomers have been found, and on this basis, both the time-dependent and equilibrium populations of the isomers have been calculated for the conditions typical of the NeNePo experiments [3] in the femtosecond pump-probe spectroscopy.     

半参数回归模型中小波估计的随机加权逼近速度

把小波光滑方法和随机加权方法结合在一起，获得了半参数回归模型中参数分量的小波估计的随机加权逼近速度为σ(n^-1/2)。因此，从大样本意义上说，小波光滑方法和随机加权方法对半参数回归模型是可用的。