边界条件齐次化

本文用延拓边界值的方法,导出一维情况下数学物理方程的三种非齐次边界条件的齐次化公式。     

一类抛物型Monge-Ampère方程具Neumann边界条件的初边值问题

证明了一类抛物型Monge-Ampère方程具Neumann边界条件的初边值问题的古典解的存在惟一性。用比较原理证明了该问题至多存在一个古典解。在一定条件下,通过构造辅助函数和闸函数,得到严格凸解的先验估计结果,进而利用连续性方法得到了该问题严格凸解的存在性。     

语音识别技术探讨

介绍了语音识别技术ASR的发展历史、目前研究方法、技术手段及当前取得的成绩与不足,提出一种新的的研究理论——利用基因算法训练HMM方法.     

用Mathcad编程求解平面恒定温度场的差分解

结合具体实例给出使用Mathcad编程求解平面恒定温度场差分解的方法，并指出这种方法的优越性。     

板模型中一类具反射边界条件的迁移算子的谱

本文研究了板模型中一类具反射边界条件、各向同性、单能、非均匀介质的中子迁移算子的谱，证明了在右半平面中，该算子仅有有限个具有限代数重数的实离散本征值     

评霍耳效应的物理模型

本文从理论上证明了传统的霍耳效应物理模型中霍耳电荷分布和电流线的分布是不正确的。     

声成像的研究进展及应用前景

声成像的研究进展及应用前景ＰｒｏｇｒｅｓｓｉｎｔｈｅＲｅｓｅａｒｃｈｏｆＡｃｏｕｓｔｉｃＩｍａｇｅａｎｄＩｔｓＰｒｏｓｐｅｃｔｓｆｏｒＡｐｐｌｉｃａｔｉｏｎ￥／／张德俊（中国科学院武汉物理所，研究员武汉４３００７１）本文综述近代声成像的特点与基本分类...     

相干声学编码系统--用于DTS多声道数字音频系统

主要介绍了相干声学编码系统的压缩理论、压缩方式及其在STS多声道音频系统中的应用.     

New Boundary Treatment Methods for Lattice Boltamann Method

In practical fluid dynamic simulations, the boundary condition should be treated carefully because it always has crucial influence on the numerical accuracy, stability and efficiency. Two types of boundary treatment methods for lattice Boltzmann method (LBM) are proposed. One is for the treatment of boundaries situated at lattice nodes, and the other is for the approximation of boundaries that are not located at the regular lattice nodes. The first type of boundary treatment method can deal with various dynamic boundaries on complex geometries by using a general set of formulas, which can maintain secon-order accuracy. Based on the fact that the fluid flows simulated by LBM are not far from equilibrium, the unknown distributions at a boundary node are expressed as the analogous froms of their corresponding equilibrium distributions. analogous forms of their corresponding equilibrium distributions. Therefore, the number of unknowns can be reduced and an always-closed set of equations can be obtained for the solutions to pressure, velocity and special boundary conditions on various geometries. The second type of boundary treatment is a complete interpolation scheme to treat curved boundaries. It comes from careful analysis of the relations between distribution functions at boundary nodes and their neighboring lattice nodes. It is stable for all situations and of second-order accuracy. Basic ideas, implementation procedures and verifications with typical examples for the both treatments are presented. Numerical simulations and analyses show that they are accurate, stable,general and efficient for pracitical simulations.