Volterra差分微分方程和KdV差分微分方程新的精确解

辅助方程法和试探函数法为基础,给出函数变换与辅助方程相结合的一种方法,借助符号计算系统Mathematica构造了Volterra差分微分方程和KdV差分微分方程新的精确孤立波解和三角函数解.该方法也适合求解其他非线性差分微分方程的精确解. 关键词： 辅助方程 函数变换 非线性差分微分方程 孤立波解     

求解非线性差分方程孤立波解的直接代数法

推广了求解非线性差分方程孤立波解的直接代数法.用此方法研究了Hybrid晶格方程，借助于符号计算Maple,得到它的新孤波解.这种方法也可用于求解其他的差分方程. 关键词： 微分-差分方程 Hybrid晶格方程 行波解 孤     

计算二维静电场的非正交有限差分算法

讨论了计算二维维静电场的非正交有限差分算法，给出了数值计算公式，通过对一些实例的以及与理论解的比较，结果表明非正交有限差分算法具有数值网格的合的特点，只要较少用网格就可以达到较高的精度，是求解复杂边界情况下二维静电问题的一种有效方法。     

溃坝洪水长波与地面障碍物作用的数值模拟

利用ＴＶＤ差分格式设计思想，给出了一种数值求解浅水波方程的数值方法，经过数值解与精确解的比较，表明该方法很好地模拟溃坝洪水洪间断面的位置和形状。进一步对溃坝洪水水波与地面障碍物的作用进行数值模拟，得到了合理的结果。     

带扩散项色散方程的交替分组差分方法

给出了逼近带扩散项色散方程的非对称差分格式,并用这些差分公式构造了求解色散方程的交替分段差分算法,算法是无条件稳定的,能直接在并行机上使用,并给出了模型问题的试验结果.     

薄板弯曲问题的变分-差分方法

从最小势能原理出发,使用变分-差分方法构造带有弯曲边梁的薄板的小挠度弯曲问题的差分格式,所得格式仅依赖板面网格结点,从而避免了由于引入虚拟网格结点而带来的问题;编制求解差分方程组的MATLAB程序,给出数值模拟结果.     

一种修正Volterra链的精确解

给出一种构造非线性微分差分方程精确解的方法.利用该方法并借助计算机代数系统Maple，获得了一种修正的Volterra链的形式丰富的精确解.该方法也可应用于其他的微分差分方程(组). 关键词： 微分差分方程 精确解 符号计算     

求解隐式差分方程的并行算法

本文研究了求解隐式差分方程的并行算法,其基本想法是把差分方程组化为若干个子方程组来求解,文中给出了直接法和迭代法,证明了迭代法的收敛性。为了说明分段隐式迭代方法的有效性,文中针对扩散方程的具体例子给出了数值试验计算结果。     

用显格式时间推进法求解跨音叶栅的粘性流动

本文提出了一种基本格式加修正环节的显式差分格式,用来求解跨音叶栅绕流的完全的Navier-Stokes方程,可得到近似于二阶精度的解.试算表明本文差分格式和给出的边界条件是成功的,它提供了透平机械叶栅中粘性流动的一种数值模拟方法.在给定了合适的湍流模型后,本文的方法能方便地推广应用到湍流的计算中去.     

常微分方程边值问题的局部精确数值方法

基于微分方程系数结构特征和解函数的特殊性质,提出了求解常微分方程边值问题的局部精确数值方法,构造出了三种新的差分格式,即指数型差分格式、振荡型差分格式、指数-振荡型差分格式。这些格式能很好地描述微分方程具有大梯度、窄剪切层、剧烈振荡等特殊性质的解。对一些被公认为困难的数值问题,如奇扰动微分方程、刚性微分方程、具有剧烈振荡解的微分方程、具有转向点的微分方程等,应用该方法可得到理想的数值结果。理论与数值实验都表明,这种新方法具有十分明显的优点,能解决一些用现有方法无法圆满计算的数值问题。     

Emittance-dominated long bunches in dual harmonic RF system

The storage of long bunches for long time intervals needs flattened stationary buckets with a large bucket height. The longitudinal motion of the initially mismatched beam has been studied for both the single and dual harmonic RF systems. The RF amplitude is determined to be r.m.s wise matched. The bucket height of the single harmonic system is too small even for shorter bunch with only 20% increased energy spread. The Halo formation and even debunching can be seen after a few synchrotron periods for single particles with large amplitude. In the case of small energy spread for a cooled beam, Coulomb interaction cannot be ignored. The external voltage has to be increased to keep the r.m.s bunch length unchanged. The new voltage ratio R(N) simplifies physics for the emittance-dominated bunches with modest particle number N. For the single harmonic system, substantial amount of debunching occurs without increasing the external voltage, but very little if the RF amplitude is doubled. Results from the ORBIT tracking code are presented for the 1 GeV bunch in the HESR synchrotron, part of the GSI FAIR project.     

Single-beam self-referenced phase-sensitive surface plasmon resonance sensor with high detection resolution

A versatile and low-cost single-beam self-referenced phase-sensitive surface plasmon resonance(SPR)sensing system with ultra-high resolution performance is presented.The system exhibits a root-mean-square phase fluctuation of ±0.0028.over a period of 45 min.i.e.a resolution of±5.2×10-9 refractive index units.The enhanced performance has been achieved through the incorporation of three design elements:a true single-beam configuration enabling complete self-referencing so that only the phase change associated with SPR gets detected,a differential measurement scheme to eliminate spurious signals not related to the sensor response,and the elimination of retardation drifts by incorporating temperature stabilization in the liquid crystal phase modulato .Our design should bring the detection sensitivity of non-labeling SPR biosensing closer to that achievable by conventional fluorescence-based techniques.     

Spectral luminescent properties of monomeric and associated molecular forms of acridine dyes in polymer matrices

M. V. Lomonosov Moscow State University, Leninskie Gory, 119899, Moscow, Russia. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 62, No. 2, pp. 38–46, March–April, 1995.     

Speech enhancement by array crosstalk resistant ANC and spectrum subtraction

Microphone array-based speech enhancement has great importance for speech communications and speech recognition. To reduce the aperture of the microphone array and to increase the effect of the speech enhancement will greatly broaden the application areas of the microphone array. An array crosstalk resistant adaptive noise cancellation method is therefore presented. And then an improved spectral subtraction algorithm is further cascaded to obtain better enhancement results. Theoretic analysis and experiments indicate that the proposed scheme needs only a very small microphone array while it simultaneously achieves a higher SNR improvement. Besides, the proposed scheme can be used in many noisy environments and is easy for real-time implementation.     

Effect ofγ-radiation on the spectral luminescence characteristics of impure cadmium tungstate crystals

Results of a study of the effect of γ-radiation on the spectral luminescence properties of cadmium tungstate crystals doped with silver, bismuth, and molybdenum cations are presented. Spectral characteristics of the nondnnnoped crystals are briefly described. Absorption and photo and X-ray luminescence spectra of the crystals taken before and after exposure to γ-radiation (5.5·10⁴ Gy) are compared. It is found that the spectral characteristics of the crystals doped with silver, bismuth, and molybdenum cations do not change markedly after the exposure. The relation between the type of impurity-induced defects, individual characteristics of the impurity cations, and the character of the effect of γ-radiation on the spectral luminescence properties of impure crystals is analyzed (preliminarily). Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 64, No. 1, pp. 55–60, January–February, 1997.     

ß-Correction spectrophotometry and its application to determination of a trace metal and its chelate composition: Cd(II) with dithizone

Huaibei Environmental Monitoring Center, Huaibei, Anhui Province, 235000, P. R. China. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 62, No. 6, pp. 76–80, November–December, 1995.     

Cavitation in trees

Sap is transported under tension (i.e. negative pressure) in trees, according to the tension-cohesion theory. Since water is physically instable under negative pressure, a risk of cavitation is possible. Techniques have been developed during the past two decennia to study cavitation in trees. Trees appear remarkably immune to cavitation events. Cavities form only when extreme water stresses occur or when sap freezes. Nucleation is heterogeneous in trees, presumably caused by the aspiration of air bubbles through conduit walls. Threshold xylem pressures for cavitation vary greatly between species, in concordance with the great functional and ecological diversity of trees. To cite this article: H. Cochard, C. R. Physique 7 (2006).     

Energy dependence of non-linear dynamical features in e+e- collisions

A study of the dynamical fluctuation properties at various c.m. Energies in e+e- collisions is performed using the Monte Carlo method. The results suggest that, after the normalized factorial moments of 3-dimensional phase space are analyzed using an isotropical phase space partition, the NFM describing non-linear dynamical properties show a power-law scaling, I.e., the dynamical fluctuations in higher dimensional phase space are isotropic. For c.m. Energies √s≤80 GeV,the scaling exponents φq increase rapidly with the c.m. Energy and for c.m. Energies √s＞80 GeV,the φq gradually saturate.     

A stereo matching algorithm using multi-peak candidate matches and geometric constraints

Gray cross correlation matching technique is adopted to extract candidate matches with gray cross correla- tion coefficients less than some certain range of maximal correlation coefficient called multi-peak candidate matches. Multi-peak candidates are extracted corresponding to three closest feature points at first. The corresponding multi-peak candidate matches are used to construct the model polygon. Correspondence is determined based on the local geometric relations between the three feature points and the multi-peak candidates. The disparity test and the global consistency checkout are applied to eliminate the remaining ambiguous matches that are not removed by the local geometric relational test. Experimental results show that the proposed algorithm is feasible and accurate.