Solving regularized least squares with qualitatively controlled adaptive cross‐approximated matrices

The adaptive cross‐approximation (ACA) technique is applied to accelerating an inverse‐problem solver that estimates charge distribution on a dielectric spacer. The ACA generates an approximated system‐matrix that enables us to carry out high‐speed inverse calculation. We designed an approximation procedure based on ACA with some additional concepts, that is, (a) partitioning of matrix based on algebraic information, (b) approximation quality control based on matrix norms, and so on. The tested solver (LSQR for regularized least squares) with ACA demonstrates about 10 times faster performance than that without ACA. © 2007 Wiley Periodicals, Inc. Electr Eng Jpn, 159(3): 10–18, 2007; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.20326     

应用磷灰石裂变径迹研究大民屯凹陷的古地温

为深刻认识辽河盆地古地温特征，利用裂变径迹分析方法，对大民屯凹陷钻井岩心中19块磷灰石样品的裂变径迹年龄和长度做了测试。结果表明，随井深增加，径迹年龄和平均径迹长度有减少、变短的显著趋势，ES3^4地层磷灰石裂变径迹表观年龄比地层年龄年轻得多，说明沉积后曾长时间处于退火带中，退火带古地温为74～130℃，有效加热时间为4l～45Ma，2300～4000m深度地层处于退火过渡带。将径迹长度分布特征与地史、热史模拟结果相结合，认为该区在ES4段末经历一次短时间迅速增温后，ES3^1亚段存在一个区域抬升降温的热事件过程，其后地层稳定下降，沉降幅度小、沉积物较薄，温度增加缓慢，古地温梯度高于今地温梯度，对生、排烃较为有利。     

Tandem queues with general blocking: A unified model and comparison results

We study tandem queues with finite intermediate buffers and develop a general blocking scheme that unifies and generalizes various blocking schemes previously studied in the literature, such as manufacturing blocking, communication blocking, kanban blocking and its variations. In the general blocking scheme, job movement and service at each stage are controlled by three parameters, which represent, respectively, the upper limits (at that stage) on work-in-process inventory, finished goods inventory, and buffer space. We derive a set of recursive equations that characterize the dynamics of the system, in terms of the job completion and departure processes, and establish comparison results for these processes in the settings of stochastic ordering, variability ordering and stochastic convexity. Free of distributional assumptions, the results provide characterization of system behavior with respect to the control parameters as well as to the arrival and service processes. We also compare system performance under two different modes of operation: make-to-order versus make-to-stock, and demonstrate the trade-off between improving service and reducing inventory. Numerical studies are also presented to illustrate the diversity of performance trade-off, including composition of inventory, offered by the general model.Supported in part by NSF under grant ECS-89-96201.     

直接斜率波前复原算法的控制效果分析

建立自适应光学系统功率谱抑制函数的概念，分析了采用直接斜率波前复原算法的自适应当光学系统的控制效果，理论分析与６１单元自适应光学系统上的实验结果表明，直接斜率波前复原算法将导致控制效果下降。     

基于Legendre多项式的随机连续系统的Markov参数估计

本文在讨论连续Ｗｉｓｅｎｒ过程的Ｌｅｇｅｎｄｒｅ多项式逼近值的相关性和Ｗｉｅｎｅｒ过程扰动下连续线性系统基于该正交多项的最小二乘估计有偏性后，提出了无偏一致的且数估计误差方差最小的Ｍａｒｋｏｖ估计（最小方差估计）算法，并给出本文方法的仿真结果。     

PECVD方法用于梯度薄膜材料的研究

本文研究了ＰＥＣＶＤ方法制备Ｓｉ－Ｏ－Ｍ系梯度薄膜材料，并运用计算机控制技术成功地制备了涂层折射率随膜深成正弦波形式连续变化的Ｒｕｇａｔｅ单通带滤波器样品。结果表明，采用ＰＥＣＶＤ方法可以制备性能上乘、结构复杂的梯度薄膜材料，ＰＥＣＶＤ方法在研究、开发高级光学涂层领域有着宽广的应用前景。     

激光与DNA作用系统的随机共振研究

建立了激光与ＤＮＡ分子系统相互作用的Ｆｏｋｋｅｒ－Ｐｌａｎｃｋ方程，通过对该方程的数值研究，发现在绝热近似下，系统发生随机共振，噪声强度，激光振幅和频率协同作用共同制约着生物系统的演化过程，噪声强度在生物系统遗传变异过程中可能起重要作用。     

一种改进的网格数据保持梯度滤波方法

 基于网格数据滤波的基本思想，针对杨高印提出的小子域滤波法存在子域划分重心不稳的问题，本文提出了新的子域划分方法，即通过考察滤波窗口内数据的数值分布或梯度变化情况，在充分考虑子域划分对称性的基础上，采用对称子域的均方根误差或平均梯度大小差值为判别指标确定数据变化的主梯度方向，并用此判别指标代替数据变化平缓系数判别指标，在滤波输出的取值上考虑数据变化的梯度方向上的两个相对称子域对输出的贡献大小进行加权平均，使滤波输出结果更稳定。通过数据试算，表明网格数据滤波法输出结果更加合理、稳健。     

Practical Application of Hybrid Modelling to Naturally Fractured Reservoirs

This article presents application of a hybrid method for modelling discrete fracture network in an actual naturally fractured reservoir (NFRs) (Palm Valley, Australia). The hybrid method integrates features of geological, statistical, artificial intelligence, and conditional hierarchical stochastic simulation techniques. Both discrete and continuum fracture information could be utilized, such as statistical distributions of fracture orientations, spatial distributions of fracture density, and discrete multi-fractal dimensions. The final output is a 3D network model of discrete fractures, with their corresponding details of location, size, and orientation. The results show an improvement of the hybrid method over previous fracture models.     

SOME NEW ASPECT OF LYAPUNOV TYPE THEOREMS FOR STOCHASTIC DIFFERENCE EQUATIONS WITH CONTINUOUS TIME

Some new Lyapunov type theorems for stochastic difference equations with continuous time are proven. It is shown that these theorems simplify an application of Lyapunov functionals construction method.