带源参数的热传导反问题的无网格方法

利用无网格有限点法求带有源参数的一维热传导反问题，推导了相应的离散方程.与其他基于网格的方法相比，有限点法采用移动最小二乘法构造形函数，只需要节点信息，不需要划分网格，用配点法离散求解方程，可以直接施加边界条件，不需要在区域内部求积分，减小了计算量.用有限点法求解热传导反问题具有数值实现简单、计算量小、可以任意布置节点等优点.最后通过算例验证了该方法的有效性.     

黑体辐射数值反演的快速稳定算法

讨论采用Tikhonov正则化方法进行黑体辐射数值反演的相关技术问题,特别是将双参数模型提供的相当好的正则参数初值与求解Morozov偏差方程的一个三阶收敛格式相结合,给出了一个新的、具有高效稳定等特点的混合数值反演算法,并进行了数值试验.这一算法在原则上也适合其它许多物理参数识别问题(如Fermi体系的反演、各种类型的Abel方程的数值反演等).     

基于改进布谷鸟算法识别瞬态热传导问题的导热系数

基于改进布谷鸟算法反演瞬态热传导问题随温度变化的导热系数.采用Kirchhoff变换将非线性热传导问题转换为线性热传导问题,使用边界元法求解瞬态热传导正问题.将导热系数的反演转化为函数表达式中未知参数的反演,使用改进布谷鸟算法求解未知参数.与共轭梯度法相比,改进布谷鸟算法对迭代初值不敏感;与布谷鸟算法相比,改进布谷鸟算法迭代次数大大减少.数值算例表明对改进布谷鸟算法,增加测点数量迭代次数增加;增加鸟巢数量迭代次数减少;减小测量误差计算结果更精确,同时迭代次数更少.数值算例验证了改进布谷鸟算法反演导热系数的准确性和有效性.     

材料热物性与热源强度辨识的改进遗传算法

建立二维非线性导热逆问题(IHCP)的数学模型.通过对基本遗传算法逐步改进得到三种不同改进阶段的遗传算法,分别用于反演导热问题中材料的导热系数及其内部热源强度,并比较遗传算法在各改进阶段用于求解导热逆问题时的收敛速度与求解精度,寻求一种使导热逆问题求解效率与计算精度更高的遗传算法改进策略.结果表明:提出的遗传算法改进策略达到了预期目的.     

均聚物结晶与熔融化的稳态和亚稳态转变统计理论

基于多重微晶网络结构模型和分子分凝机制建立了高分子晶体的微晶核 和微晶粒 高分子链组模型 ,推导出了平衡态下高分子预结晶动力学方程 ,计算出了平衡态下不同尺寸微晶核 和微晶粒 高分子链组的几率分布函数 .建立了非稳态下不同尺寸的微晶核 高分子链组的成核演化方程和微晶粒 高分子链组的增长演化方程 ,求解一般状态下的两个演化方程后 ,得到了不同时间和不同尺寸的微晶核 和微晶粒 高分子链组的一般密度分布函数 .最后根据成核自由能和增长自由能对晶核和晶粒的尺寸大小的依赖性 ,提出了微晶核 高分子链组和微晶粒 高分子链组存在稳定性的热力学条件和动力学条件 ,成功地表征为三个特征区 (稳态、亚稳态和非稳态 )     

The Collocation Method and the Splitting Extrapolation for the First Kind of Boundary Integral Equations on Polygonal Regions

In this paper, the collocation methods are used to solve the boundary integral equations of the first kind on the polygon. By means of Sidi's periodic transformation and domain decomposition, the errors are proved to possess the multi-parameter asymptotic expansion at the interior point with the powers $h_{i}^{3}(i=1,...,d)$, which means that the approximations of higher accuracy and a posteriori estimation of the errors can be obtained by splitting extrapolations. Numerical experiments are carried out to show that the methods are very efficient.     

Origin of the Landau-Lifshitz hydrodynamic fluctuations in nonequilibrium systems and a new method for reducing the Boltzmann equation

The Landau-Lifshitz fluctuating fluxes in fluctuating hydrodynamics are derived from the deterministic Boltzmann equation with the aid of a reduction method developed by Fujisaka and Mori. Thus it is shown that the hydrodynamic fluctuations innonequilibrium systems are generated by the reduction of variables from the-space distribution function to its five momentum moments, i.e., the hydrodynamic variables. This differs from the Bixon-Zwanzig and Fox-Uhlenbeck theories, in which the Landau-Lifshitz fluctuating fluxes are derived from the molecular fluctuating force in thestochastic Boltzmann-Langevin equation, which is, however, negligible in nonequilibrium systems. Thus the present method improves the Chapman-Enskog reduction method so as to include the hydrodynamic fluctuations generated by the reduction of variables.Supported in part by the Scientific Research Fund of the Ministry of Education.     

Critical Analyses of Order Parameter and Phase Transitions at High Density in Gross-Neveu Model

By critical analyses of the order parameter of symmetry breaking, we have researched the phase transitionsat high density in D = 2 and D = 3 Gross-Neveu (GN) model and shown that the gap equation obeyed by the dynamicalfermion mass has the same effectivenesss as the effective potentials for such analyses of all the second order and somespecial first order phase transitions. In the meantime we also further ironed out a theoretical divergence and proventhat in D = 3 GN model a first order phase transition does occur in the case of zero temperature and finite chemicalpotential.     

Critical Analyses of Order Parameter and Phase Transitions at High Density in Gross－Neveu Model

By critical analyses of the order parameter of symmetry breaking, we have researched the phase transitions at high density in D = 2 and D = 3 Gross-Neveu (GN) model and shown that the gap equation obeyed by the dynamical fermion mass has the same effectivenesss as the effective potentials for such analyses of all the second order and some specJal first order phase transitions. In the meantime we also further ironed out a theoretical divergence and proven that in D = 3 GN model a first order phase transition does occur in the case of zero temperature and finite chemical potential.     

改进LVAMDF及综合多因素基音检测算法

在对语音信号静音、清音、浊音划分的基础上,针对语音信号周期特征明显段分布随机性问题,提出改进的变长度平均幅度差函数LVAMDF及综合多因素基音检测算法,该算法对语音信号进行周期特征明显段和周期特征不明显段的聚类划分,同时,获取周期特征明显语音段的基音周期,针对少数基音周期划分倍频或半频问题,提出识别、修正方法,其识别、修正率极高。在对大量真实语音处理中,能够精确的检测出语音特征明显段的基音周期端点,基本没有倍频和半频划分,并且和AMDF、ACF算法作了对比。     

A method for determining optical constants, dimensions, and concentrations of “soft” absorbing particles in the brightening band region

We investigate the possibilities of creating a method for estimating the optical constants, dimensions, and concentrations of “soft” absorbing particles by applying a theoretical analysis of the angular dependence of the intergrated indicatrix, overall characteristics of light scattering, and absorption on the phase shift and diffraction parameter of particles in the brightening band region. We show that using the investigated optical characteristics, it is possible to determine the unknown parameters of a suspension from experimental data. Institute of Biophysics, Siberian Branch of the Russian Academy of Sciences, Akademgorodok, Krasnoyarsk, 660036, Russia. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 64, No. 6, pp. 807–812, November–December, 1997.