生存轨道与集值映象的不动点

基于无穷维空间中的生存定理，我们研究了集值映象的不动点，得到了一个新的不动点定理，推广和改进了[1]和[5]中的相应结果。     

平面交叉玻璃波导型微透镜阵列光学性能研究

介绍了平面交叉玻璃光波导型半球形微透镜阵列的制作方法.利用积分形式的光线方程式讨论了半球形微透镜的光学特性,得到了半球形微透镜的光线轨迹方程式和焦距表示式,理论结果与实验数据是一致的.     

Some effective methods for unconstrained optimization based on the solution of systems of ordinary differential equations

In this paper, we review briefly some methods for minimizing a functionF(x), which proceed by follwoing the solution curve of a system of ordinary differential equations. Such methods have often been thought to be unacceptably expensive; but we show, by means of extensive numerical tests, using a variety of algorithms, that the ODE approach can in fact be implemented in such a way as to be more than competitive with currently available conventional techniques.This work was supported by a SERC research studentship for the first author. Both authors are indebted to Dr. J. J. McKeown and Dr. K. D. Patel of SCICON Ltd, the collaborating establishment, for their advice and encouragement.     

An extended continuous Newton method

This paper describes a numerical realization of an extended continuous Newton method defined by Diener. It traces a connected set of locally one-dimensional trajectories which contains all critical points of a smooth functionf: ⁿ . The results show that the method is effectively applicable.The authors would like to thank L. C. W. Dixon for pointing out some errors in the original version of this paper and for several suggestions of improvements.     

Pu（^7Fg）＋H2（X^1∑g^＋,0,0）的分子反应动力学

基于PuH_2分子基态(X~7A_1)的分析势能函数，用准经典的Monte-Carlo轨线法 对Pu(~7Fg)+H_2(X~1∑_g~+，0，0)的分子反应动力学过程进行了计算。结果表明 ：Pu(~7F_g)与H_2(X~1∑_g~+，0，0)碰撞是弹性碰撞。     

正交激励超声切削装置的椭圆轨迹偏转与校正

为研究超声椭圆振动切削（ultrasonic elliptical vibration cutting,UEVC）刀尖轨迹形成及控制,解决刀尖轨迹非正椭圆问题,建立二维正交柔性导波UEVC装置刀尖轨迹的运动学模型;分析90°相位差下非正椭圆轨迹产生原因,建立刀尖轨迹校正模型,并推导出基于正椭圆轨迹下的刀尖轨迹偏转模型。通过实验对刀尖轨迹校正模型进行验证,校正后轨迹偏离坐标轴1.67°,小于校正前偏离角度。实验结果表明,该模型能够有效地校正刀尖轨迹,可在轨迹控制方面为后续研究刀尖轨迹偏转及变刀尖轨迹超声振动加工提供理论基础。     

Massively time-parallel,approximate simulation of loss queueing systems

A time-parallel simulation obtains parallelism by partitioning the time domain of the simulation. An approximate time-parallel simulation algorithm named GG1K is developed for acyclic networks of loss FCFSG/G/1/K queues. The GG1K algorithm requires two phases. In the first phase, a similar system (i.e. aG/G/1/ queue) is simulated using the GLM algorithm. Then the resultant trajectory is transformed into an approximateG/G/1/K trajectory in the second phase. The closeness of the approximation is investigated theoretically and experimentally. Our results show that the approximation is highly accurate except whenK is very small (e.g. 5) in certain models. The algorithm exploits unbounded parallelism and can achieve near-linear speedup when the number of arrivals simulated is sufficiently large.     

再入飞行器总体参数优化设计

研究再入飞行器总体参数的优化设计方法。方法在内部装填物参数给定的情况下,应用步长加速法与外点罚函数相结合的优化设计方法,以再入飞行器的最小质量为目标函数,求得最优设计方案。     

N(~4S)+NO(X~2II)→N_2(X~3Σ_g~-)+O(~3P)反应的立体动力学(英文)

采用准经典轨线方法研究了在不同碰撞能下,碰撞反应N(4S) NO(X2!)→N2(X3"g-) O(3P)在两个最低势能面3A″和3A′产物与反应物之间的矢量相关.结果表明,对于不同的碰撞能,在两个势能面上反应产物的转动取向展示了不同的特征和趋势.发生在3A″势能面上的反应主要由外平面机理支配,而发生在3A′势能面上的反应倾向于受内平面机理支配.这些差异来自于两个势能面的不同构型.     

Effect of vibrational excitation of HBr on the H+HBr abstraction and exchange reactions

The effect of vibrational excitation of HBr on the H+HBrH₂+Br and H+HBrH+HBr reactions has been investigated on the extended LEPS surface (ELEPS) constructed on the basis of quantum chemically calculated points of PES. Together with this surface the LEPS surface of Sudhakaran and Raff [1] was used for comparison at two relative translational energies. A quasiclassical trajectory method was used to study the abstraction and exchange reaction dynamics. The reactive cross section was calculated as a function of the relative collision energy and the vibrational state of HBr. The following conclusions can be drawn from the results of the study: (i) vibrational excitation v=0 v=2 more than doubles the reaction cross section, (ii) the increase in the collision energy is most effectively channelled into the product translational energy.Dedicated to Professor J. Koutecký on the occasion of his 65th birthday