正则化长波方程的三次样条差分模拟

本文对正则化长波方程(RLW方程)的时间、空间项分别采用三次样条公式进行离散,所得到的差分方程为三点、三层隐格式,对时间的精度为四阶,对空间的精度为二阶,每个时间步只需求解一个三对角方程组,而三次样条配置法在每个时间步中需要求解三个三对角方程组。本文对单个孤立波的演化进行了计算,参数与文[8]相同,其结果与解析解的最大绝对误差均保持在10~(-3)的量级以内,与文[8]给出的数值方法精度相当。对两、三个孤立波的相互碰撞,本文结果显示出在忽略10~(-3)量级的误差后,碰撞前后的孤立波形状保持不变,无论是一个孤立波的演化,还是两、三个孤立波相互碰撞,当将波形放大100倍后均可以发现有振荡的尾波,这说明这类振荡尾波的产生并非真实的物理现象,而是由数值误差产生的。本文认为仅从工程应用的意义上说,RLW方程具有孤立子性质的结论是可以接受的。     

参数三次B样条曲线的一种整体光顺方法

本文在能量法的基础上，提出了一种新的目标函数，给出了参数三次Ｂ样条曲线的一种新的整体光顺方法。利用这种方法得到的曲线不仅具有较小的应变能，而且曲率变化比较均匀，具有很好的光顺效果。该方法能推广到对曲面的光顺。     

Crystallization behavior of star-shaped poly(ethylene oxide) with cubic silsesquioxane (CSSQ) core

The crystallization behavior of well-defined star-shaped cubic silsesquioxane-poly(ethylene oxide) (CSSQ-PEO) and linear PEO were studied in terms of differential scanning calorimetry (DSC) and wide-angle X-ray scattering (WAXS). It was found in DSC analysis that the glass transition temperature (T_g) and the crystallization temperature (T_c) of CSSQ-PEO are different from those of linear PEO. The presence of CSSQ in PEO reduced the overall crystallization growth rate. This effect can be ascribed to the reduction of the mobility of the PEO crystallites in the presence of CSSQ and the star structure of the polymer. The Ozawa method is qualitatively satisfactory for describing the nonisothermal crystallizations of linear PEO and CSSQ-PEO. The presence of CSSQ leads to the diffusion- and nucleation-controlled mechanisms in the crystallization process of CSSQ-PEO whilst only the nucleation-controlled mechanism was observed in the case of linear PEO. The apparent activation energy required for crystallization was calculated using the Kissinger method. The isothermal crystallization morphology of PEO and CSSQ-PEO were also examined by cross-polarizing optical microscopy (CPOM). The CPOM images indicated the spherulite growth is slower in CSSQ-PEO as compared to linear PEO. It was also investigated that more number of PEO spherulites in CSSQ-PEO were observed, which sizes are markedly smaller than the spherulites developed in linear PEO. Wide-angle X-ray scattering (WAXS) studies showed that the crystallization peaks for linear PEO and CSSQ-PEO appeared at different temperature revealing the crystallization process and crystal growth rate are different from each other. However, no significant distortion of the crystal structure of PEO was evaluated in the presence of CSSQ.     

拱坝三次样条曲线拱圈线型及优化研究

建立拱坝拱圈三次样条曲线模型，根据非线性规划町行域与最优解的理论。比较了抛物线、椭圆、双曲线和三次样条曲线线型的优劣，并采用复合形法对这些线型的拱圈进行了优化。结果表明，三次样条曲线拱圈最优。     

立方相GaN的持续光电导

研究了金属有机物化学气相外延 (MOVPE)方法生长的非故意掺杂的立方相 Ga N的持续光电导效应 .在六方相 Ga N中普遍认为持续光电导效应与黄光发射有关 ,而实验则显示在立方 Ga N中 ,持续光电导效应与其中的六方相 Ga N夹杂有关系 ,而与黄光发射没有关系 .文中提出 ,立方相 Ga N与其中的六方相 Ga N夹杂之间的势垒引起的空间载流子分离是导致持续光电导现象的物理原因 .通过建立势垒限制复合模型 ,解释了立方相 Ga N的持续光电导现象的物理过程 ,并对光电导衰减过程的动力学作了分析 .对实验数据拟合的结果证明以上的模型和推导是与实验相符的 .     

大尺寸氟化铅晶体的生长

描述了不用高真空条件，在通常的Ｂｒｉｄｇｍａｎ－Ｓｔｏｃｋｂａｒｇｅｒ炉中，用高温下的反应方法，消除了原料及生长炉内残存的Ｏ＾２－及ＯＨ＾－，生长出优质，大尺寸的β－ＰｂＦ２晶体。在晶体生长时，出现的主要问题是在晶体中的针状结构及开裂，但可通过控制条件来解决。     

三次方程求根及根的性质

给出实系数三次代数方程三个根的关系式定理。只要知道一个根，由该定理可方便地求出另外两根；对重根也适用，且更方便。     

合成彩色立方氧化锆的宝石学特征

市场上出现的紫色、浅紫色、浅黄色、粉红色、酒黄色、黄褐色、红色人造立方氧化锆均为亚金刚光泽, 火彩明显; 密度为5.99～6.34 g/cm3, 相对硬度为8～9; 除粉红色者表现出非均质性和弱多色性且内含大量定向排列的白色脱溶物外, 其余的为均质性, 内部洁净; 不同颜色的立方氧化锆的吸收光谱、紫外荧光以及滤色镜下的变色情况均存在差异; 浅紫色立方氧化锆的吸收光谱特征表明它是Nd致色. 能谱分析结果表明: 彩色立方氧化锆的常见元素有Zr, Y, P, Hf, Ca等; Er, Ce, Fe分别是粉红色、红色、酒黄色立方氧化锆的致色元素; 当Y2O3的摩尔分数大于或近于7%时, 立方氧化锆为立方面心结构且内部洁净; 当Y2O3的摩尔分数小于5%时, 立方氧化锆表现为非均质性且内含大量定向分布的白色脱溶物. 用拉尔森改写的格拉斯顿-代尔公式计算其近似折射率为2.12～2.19.     

带有给定切线多边形的保形有理三次B样条曲线

本文给出了带有给定切线多边形的保形有理三次Ｂ样条曲线，其部分权因子可通过选取切点的位置来确定，由此方法还导出了保形有理三次Ｂ样条插值曲线，最后，给出了两个例子。     

The thermal ignition of lignocellulosics in infinite slab and cubic geometries

Wood shaving samples were heated in both cubic baskets and in a previously described system realising the conditions of the ‘infinite slab’ in thermal ignition. Results from the two sets of experiment were found to be totally consistent with each other.