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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。

Based on the Volume of Fluid Method, the wave damping absorber of the numerical wave flume for irregular waves has been investigated. Setting the Turbulence motion equation and the Renault equation as the governing equations and using the wall function technique in the near-wall region, an absorbing wave-maker is set at the left side of the flume.

本文对基于VOF方法的不规则波数值波浪水槽进行了阻尼消波研究，以湍流运动方程一雷诺方程为控制方程，在近壁区应用壁函数技术，在数值波浪水槽的左端设置了主动吸收式造波机。

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。

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。

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。

Determination of laser absorptivity of metal by numerical calculation technique and trial-and-error method .

用数值计算技术和试错法确定金属材料表面对激光的吸收率。

Our work involves the theories of numerical analysis, matrix computation, abstract algebra, control theory and algebraic Riccati equation.

课题的研究涉及到数值分析，矩阵计算，抽象代数，控制论等重要学科。

The success of Indian mathematics was mainly due to the fact that Indians had a clear conception of the abstract number as distinct from the numerical quantity of objects or spatial extension.

印度数学的成功主要归功于印度人对物体的数量或空间的扩展抽象成清晰化的数字的观念。

ABSTRACT Title of Theme: Numerical Simulation and Controlling of Dimples on the Process of Multi-Point Forming for Sheet Metal Specialty: Material Processing Engineering Faculty Adviser: Prof. Cai Zhongyi Multi-point forming is a new means for sheet metal forming.

论文题目：板材多点成形中压痕的数值模拟及控制专业：材料加工工程指导老师：蔡中义教授多点成形（Multi-point forming，简称MPF）是一种全新的板材成形方式。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。