耦合Schr(o)dinger方程组的一个高精度算法

对耦合Schr?dinger方程组提出1个线性差分格式并对其进行分析,证明格式保持原方程组的守恒律,证明格式依L2模稳定性和先验误差估计,对孤波碰撞的多种现象进行模拟,得到较为满意的结果.     

求解扩展的Sylvester共轭矩阵方程

研究扩展Sylvester共轭矩阵方程及更一般形式复矩阵方程的解,利用复矩阵的实形式方法得到求解方程的迭代算法.数值例子展示了该算法的有效性.     

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若干非线性偏微分方程的守恒律

采用第一同伦公式法,借助符号计算软件Maple,分别构造(1+1)维非线性弹性波动方程、Brusselator方程组及(2+1)维广义CBS方程的守恒律.     

国内外泥石流活动关键指标估算方法之比较

泥石流流体容重、流速、冲击力是表征泥石流活动特征众多指标中的三个关键指标.本文在分析国内外对这些指标评估现状的基础上,总结了应用较普遍的估算公式,对比了不同公式的特点及其适用性.比较结果认为:由于泥石流组成和运动状态的复杂性以及影响因素的多样性,对于这三个指标,目前的估算公式都不具有普适性.在当前的认知水平下,建立基于各个地区泥石流特点的指标估算经验公式是最为实用的途径.在各个指标经验公式的建立方法上,考虑各个粒组的多变量容重统计分析方法相对较为合理;泥石流流速估算公式的建立途径在我国、前苏联和欧美国家之间有显著差异,前二者基于曼宁公式,后者基于强迫涡流公式、以弯道超高为主要参数;泥石流冲击力的估算方法国内外都以动量理论为基础,区别主要体现在经验系数取值上,巨石冲击力的计算则都考虑了拦挡建筑物的特点.     

Third Order Effect of Rotation on Stellar Oscillations of a B Star

We aim at investigating the effect of rotation up to the third order in the angular velocity of a star on the p and g modes, based on the formalism developed by Soufi et al. Our ultimate goal is the study of oscillations of β Cephei stars which are often rapidly rotating stars. Our results show that the third-order perturbation formalism presented by Soufi et al. should be corrected for some missing terms and some misprints in the equations. As a first step in our study of β Cephei stars, we quantify by numerical calculations the effect of rotation on the oscillation frequencies of a uniformly rotating zero-age main-sequence star with 12 M<,??>. For an equatorial velocity of 100km s-1, it is found that the second-and third-order corrections for (l, m)=(2, 2), for instance, are of the order of 0.01% of the frequency for radial order n=6 and reaches up to 0.5% for n=14.     

Estimates of size for the large octopus Macroctopus maorum from measures of beaks in prey remains

Macroctopus maorum, also known as Octopus maorum and Pinnoctopus cordiformis, grows to 12 kg and is the largest octopod in Australasia. In New Zealand, this species features in the diets of seals and albatrosses. Beaks of depredated octopus resist digestion and accumulate in the stomach until regurgitated or defecated. Beaks of M. maorum were differentiated reliably from those of other octopods in prey remains for octopus > c.100 g. Previous studies estimated the size of depredated M. maorum from measures of lower beaks using equations derived either from a small sample of M. maorum or from related species. Here, allometric equations to estimate ventral mantle length (4.6–27.5 cm), dorsal mantle length (5.1–29.0 cm), total length (20–198 cm), and body mass (36–12 000 g) were derived from measures of both upper and lower beaks of 90 specimens of M. maorum. These regressions were imprecise and reflected innate variability in octopus morphometrics, a characteristic reflected in the results of analyses of published data for M. maorum from northern New Zealand and for two other large octopods, Octopus vulgaris and Enteroctopus magnificus.     

南黄海中部海底沉积物原位声速与物理性质相关关系

基于在南黄海中部获得的海底沉积物原位声速数据,分析讨论了原位声速与密度、含水量、孔隙比、孔隙度等沉积物物理性质参数的相关关系。通过回归分析建立了海底沉积物原位声速预测方程。结果表明,原位声速与上述物理参数之间具有良好的相关性,相关系数r均大于0.93。对比分析了原位声速预测方程与甲板声速预测方程的差异,两者最小相差15.8 m/s,最大相差31.3 m/s,平均差值约为22.6 m/s。将原位声速预测方程与其他研究者建立的声速预测方程进行了对比,结果表明不同声速预测方程存在明显差异,初步分析了存在差异的原因。     

Elastic wave modelling method based on the displacement–velocity fields: an improving nearly analytic discrete approximation

In this paper, we present an improvement to our previously published nearly analytic discrete method (NADM) to solve acoustic and elastic wave equations. We compare the numerical errors of the improved NADM with the original NADM and also the fourth-order Lax–Wendroff correction and present examples of three-component wave fields in 2D transversely isotropic media with strong velocity contrasts. Comparing with the original NADM, we find that the improved method requires significantly less storage space and can increase the time accuracy from second order of the original NADM to fourth order, while the space accuracy remains the same as that of the original one. Theoretical analyses and numerical results suggest that our improved NADM is suitable for large-scale numerical modelling as it can effectively suppress numerical dispersion and source-generated noises caused by discretising wave equations when too-coarse grids are used.     

Comparing predicted and observed ground motions from subduction earthquakes in the Lesser Antilles

This brief article presents a quantitative analysis of the ability of eight published empirical ground-motion prediction equations (GMPEs) for subduction earthquakes (interface and intraslab) to estimate observed earthquake ground motions on the islands of the Lesser Antilles (specifically Guadeloupe, Martinique, Trinidad, and Dominica). In total, over 300 records from 22 earthquakes from various seismic networks are used within the analysis. It is found that most of the GMPEs tested perform poorly, which is mainly due to a larger variability in the observed ground motions than predicted by the GMPEs, although two recent GMPEs derived using Japanese strong-motion data provide reasonably good predictions. Analyzing separately the interface and intraslab events does not significant modify the results. Therefore, it is concluded that seismic hazard assessments for this region should use a variety of GMPEs in order to capture this large epistemic uncertainty in earthquake ground-motion prediction for the Lesser Antilles.