对流扩散方程的新型CRANK-NICOLSON差分格式及其交替方向求解方法

1.引言 本文考虑区域Ω=[0,1]d上的对流扩散方程     

弱可逆有限自动机的分解

有限自动机公开钥密码体制的提出进一步激励了有限自动机可逆性的研究．在有限自动机公开钥密码体制中首次提出了自动机化合的概念．易知,两个弱可逆有限自动机的化合仍然是一个弱可逆有限自动机并且它的延迟步数不大于前两个有限自动机延迟步数之和．然而,另一方面,如何将一个弱可逆有限自动机分解为两个弱可逆有限自动机的化合却是一个非常困难的问题．该文主要考虑了一类n元严格延迟τ步弱可逆有限自动机M的延迟步数的分解问题．给出了一类特殊的n元弱可逆有限自动机分解的条件和结果．首先证明了如果对M中的每个状态s有T（s,τ）枝等,则M可分解为τ个延迟1步弱可逆有限自动机的化合．然后证明了M可分解为一个τ—m步弱可逆有限自动机和m阶延迟元的充要条件是对M中的每个状态s有T（s,m）枝等．     

Design of hexa‐band planar inverted‐F antenna using hybrid BSO‐NM algorithm for mobile phone communications

This article presents a new design of multiband planar inverted‐F antenna with slotted ground plane and S‐etched slot on the radiation patch. The proposed antenna is optimized using an efficient global hybrid optimization method combining bacterial swarm optimization and Nelder‐Mead (BSO‐NM) algorithm to cover a very important six service bands including GSM900, GPS1575, DCS1800, PCS1900, ISM2450, and 4G5000 MHz with enhanced bandwidths. The BSO‐NM algorithm in Matlab code is linked to the CST Microwave studio software to simulate the antenna. To validate the results, the antenna is analyzed using the finite difference time domain (FDTD) method. A good agreement is achieved between the results of EM simulation and that produced from the FDTD method. © 2012 Wiley Periodicals, Inc. Int J RF and Microwave CAE, 2013.     

未知介电常数对象的ECT图像重建方法

电容层析成像技术(ECT)是近年来发展较快、较成熟的一种过程层析成像技术,电容层析成像系统敏感场分布受介质介电常数分布的影响,即敏感场具有“软场”特性,通常以已知介质介电常数的灵敏度分布作为先验知识图像重建。根据对不同介电常数被测对象的检测灵敏度分析,采用一次仿真校验法对管内测量对象分别充满高、低介电常数介质进行仿真校验,并结合滤波反投影算法实现对未知介电常数的测量对象的图像重建。     

FDTD analysis of photoconducting antennas for millimeter‐wave generation

In this paper, a hybrid numerical technique is presented for modeling a photoconducting antenna structure designed for optoelectronic generation of millimeter waves. The technique interfaces the solid‐state device model with the three‐dimensional (3D) finite‐difference time‐domain (FDTD) method to achieve the active antenna modeling effectiveness and efficiency. The FDTD algorithm is applied to simulate the passive part of the antenna structure, whereas the numerical device simulation is employed to model the photoconductor that is illuminated by lasers. Physical performance of the photoconductor and response of the antenna are analyzed. Numerical results show good correlation with the experimental result and consequently demonstrate the feasibility of the full‐wave modeling. © 2000 John Wiley & Sons, Inc. Int J RF and Microwave CAE 10: 213–220, 2000.     

计算机程序设计课程中计算思维能力的培养

如何在计算机程序设计课程教学中培养学生的计算思维能力,是计算机基础教学的基本目标之一。针对计算机程序设计课程的语法结构和案例分散现象,本文提出"项目贯穿、循序渐进、思维训练"的指导思想,介绍培养学生计算思维能力的教学方法和教学手段。     

时域有限差分中各向异性完全匹配层的实现方法

本文讨论了如何在给定边界层数的条件下,通过调整各介质层吸收层的介质参数来实现入射波的最佳吸收,并利用自适应遗传算法对算法中的边界参数进行优化。     

Quasi-wavelet based numerical method for fourth-order partial integro-differential equations with a weakly singular kernel

In this paper, we study the numerical solution of initial boundary-value problem for the fourth-order partial integro-differential equations with a weakly singular kernel. We use the forward Euler scheme for time discretization and the quasi-wavelet based numerical method for space discretization. Detailed discrete formulations are given to the treatment of three different boundary conditions, including clamped-type condition, simply supported-type condition and a transversely supported-type condition. Some numerical experiments are included to demonstrate the validity and applicability of the discrete technique. The comparisons of present results with analytical solutions show that the quasi-wavelet based numerical method has a distinctive local property. Especially, the method is easy to implement and produce very accurate results.     

Assessment and improvement of precise time step integration method

In this paper, the numerical stability and accuracy of Precise Time Step Integration Method are discussed in detail. It is shown that the method is conditionally stable and it has inherent algorithmic damping, algorithmic period error and algorithmic amplitude decay. However for discretized structural models, it is relatively easy for this time integration scheme to satisfy the stability conditions and required accuracy. Based on the above results, the optimum values of the truncation order L and bisection order N are presented. The Gauss quadrature method is used to improve the accuracy of the Precise Time Step Integration Method. Finally, two numerical examples are presented to show the feasibility of this improvement method.     

Unconditionally stable ADI scheme of higher-order for linear hyperbolic equations

An unconditionally stable alternating direction implicit (ADI) method of higher-order in space is proposed for solving two- and three-dimensional linear hyperbolic equations. The method is fourth-order in space and second-order in time. The solution procedure consists of a multiple use of one-dimensional matrix solver which produces a computational cost effective solver. Numerical experiments are conducted to compare the new scheme with the existing scheme based on second-order spatial discretization. The effectiveness of the new scheme is exhibited from the numerical results.     

薄膜体声波谐振器的FDTD数值分析

提出了基于时域有限差分方法对薄膜体声波谐振器进行数值分析的新方法。利用时域有限差分法理论对压电材料的控制方程,牛顿方程和电学方程在空间和时间进行了离散化,通过得到的差分方程直接得出了声场传播的时域数值解。使用该数值方法对薄膜体声波谐振器的电学特性阻抗进行了分析,并将结果与一维Mason模型的解析解进行了比较验证。