数值

The set of absorbing boundary conditions based on paraxial approximations of 3-D elastic wave equations are applied to the numerical boundaries.

在此基础上进行了三维盐丘地质模型的地震波传播数值模拟试算。

In this paper, on the base of paraxial approximations, we present a set of absorbing boundary conditions of 3D elastic wave equations and apply to the 3D elastic wave numerical modeling in isotropic medium.

本文基於傍轴近似法提出了计算三维弹性波方程的吸收边界条件公式，表示了各边界面、边棱和角点处波场所满足的单程波方程，并在三维弹性波数值模拟中进行了应用。

Taking into account the absorption of Cr 4+∶YAG in excitaion state,the Q switching rate equations are given and the equations are solved numerically by using computer.

在考虑Cr4＋∶YAG激发态吸收的情况下，给出调Q 速率方程组，并且利用计算机对该方程组进行数值求解。

An explicit formula for the enhancement factor in gas-liquid absorption with irreversible chemical reactions is presented.

提出气液化学吸收增大因子β的显函数式，并分别同膜理论、渗透理论模型以及可vanKrevelen—Hoftijzer隐函数式的数值解比较，证明显函数式相当逼近该二理论模型，同时在准确性和方便性方面都优于隐函数式。

We first got the PML equations by making the radius complex, and then proved that the sesquilinear form in the weak formulation of the PML problem satisfies the Grding inequality under the hypothesis of the absorption factor, and further could prove the existence and uniqueness of the solutions of the PML problem, finally, we gave the numerical experiments which show that this method is feasible to a certain extent.

首先通过复化极径得到PML方程，然后在关于吸收参数的假设下，证明了PML问题变分形式中的半双线性形式满足Grding不等式，进而证明了PML问题解的存在惟一性，并给出了数值实验。实验结果表明，该方法有一定的可行性。

We first got the PML equationsby making the radius complex, and then proved that the sesquilinear form in the weak formulation of the PML problem satisfies the Garding inequality under the hypothesis of the absorption factor, and further could prove the existence and uniqueness of the solutions of the PML problem, finally, we gave the numerical experimentswhich show that this method is feasible to a certain extent.

首先通过复化极径得到PML方程，然后在关于吸收参数的假设下，证明了PML问题变分形式中的半双线性形式满足Garding不等式，进而证明了PML问题解的存在惟一性，并给出了数值实验。实验结果表明，该方法有一定的可行性。

To our knowledge, this is the first investigation of the nonlinear absorption and refractive index of α-Si/SiO〓 superlattices using Z-scan technique.

得到了其三阶非线性极化率的实部和虚部，并与其他硅基材料的相应数值进行了比较。

On the basis of solid-liquid coupling theory and the gas absorption law under different temperatures, the mathematical model of gas flow under unequal temperature s and its numerical solution are obtained.

根据瓦斯的吸附解吸规律和煤与瓦斯固流耦合作用的机理，建立了非等温条件下瓦斯流动的数学模型，并给出用有限元求其数值解的方法及程序。

Keywords: quasar absorption line systems; semi-analytical models; galaxy formation; simulations

中文关键词：类星体吸收线系统；半解析模型；星系形成；数值模拟

The results show that the optimum mole percent of Al3+ to Yb3+ is 9—11 for high concentration of ytterbium-doped silica-based fiber at which low concentration quenching probability, high absorption coefficient and proper numerical aperture can be obtained.

揭示出在高掺Yb3+的石英基光纤中，共掺Al3+的摩尔浓度为Yb3+摩尔浓度的9—11倍时既可以减小Yb3+的浓度猝灭概率，又可以获得高吸收系数，同时还可更好地满足数值孔径的要求的结论。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。