计算

Each weight function is a composite function of a generalized Chebyshev polynomial and a linear function, only algebraic calculation is needed, and no requirement is involved for the calculation such as the steepest descent-like algorithms or matrix calculation.

权函数是广义Chebyshev多项式和线性函数的复合函数，只需要通过代数计算就可以求得，不需要梯度下降计算或者矩阵计算。

Each weight function is a composite function of a generalized Chebyshev polynomial and a linear function, only algebraic calculation is needed, and no requirement is involved for the calculation such as the steepest descentlike algorithms or matrix calculation.

权函数是广义Chebyshev多项式和线性函数的复合函数，只需要通过代数计算就可以求得，不需要梯度下降计算或者矩阵计算。

The results computed by Algor and TAT with the combination of model response analysis method and the time history analysis method are given respectively.

计算结果表明：采用不同的计算方法与计算程序得到的斜撑框架结构体系的自振特性相差较大，而结构的内力相差不大；目前的商用软件如TAT可适用于斜撑框架结构的工程设计。

While calculating tensor Green's functions, the algorithm of secondary division is adopted to solve the singular problem. The Gaussian quadrature and continued fraction is adopted to calculate the integral with Bessel function. This method not only can ensure the right calculation of tensor Green's functions but also can get high precision.

求取张量格林函数积分时，采用二次剖分算法解决计算中奇异值问题，对于含有贝塞尔函数的积分项，利用结合连分式展开的高斯求积代替常规的快速汉克尔变换方法，确保了张量格林函数的正确计算并提高了计算精度。

Alpha decay half-lives of even-even superheavy element s are calculated in the framework of the effective liquid drop model using the combination of constant asymmetry shape description for the mass transfer and the effective inertia coefficient.

利用有效液滴模型计算了偶偶超重核的α衰变半衰期，计算过程中采用了保持碎片体积守恒的不对称形状描述以及有效惯性系数计算Gamow势垒穿透因子。

The track structure of low electron, proton and alpha particle in water as a media has been calculated with Monte Carlo method. The spectrum of DNA damages has been simulated by the track structure model. Then the surviving fraction at different dose level is calculated by connecting track structure and phenomenological dynamic model.

在理论方面，对电子、质子和α粒子在水中的径迹结构进行了系统地研究与计算，还编制了我们自己的质子的蒙特卡罗模拟程序；用径迹结构模型计算出电离谱并与动力学模型相联系，计算出有实用价值的成活率。

The subdomain precise integration with multiple inner points can improve the precision. This paper gives alternating direction precise integration method for twodimensional diffusion equation, and discusses the parallel algorithm of this method.

给出了交替方向的二维扩散方程的精细积分算法，将一个时间步积分分为两个方向，使大规模矩阵的计算转化为一些小矩阵的计算，减小了每一步求解的计算量。

This thesis contributed to the comprehensive study of the Finite-Difference Time-Domain method and its application to the numerical computation of radiated electromagnetic fields in switched mode power supplies. The work includes mainly three parts: the study on the performance of PML absorbing boundary condition applied to pseudo low frequency electromagnetic problems; the validation of the FDTD method with PML absorbing boundary conditions and the corresponding computer software based on the numerical study of the electromagnetic field of an electric dipole antenna, and its application to the numerical computation of radiated electromagnetic fields in switched mode power supplies; the development of an improved alternating direction implicit finite-difference time-domain method.

在综合前人工作基础上，本文对时域有限差分法及其在开关电源辐射电磁场数值计算中的应用进行了系统的分析和研究，其核心内容包括：伪低频电磁场数值计算中PML吸收边界条件性能的研究；基于基准问题—电偶极子天线三维辐射电磁场，验证了本文构造的基于PML吸收边界条件的三维FDTD法及其计算软件，并应用于高频开关电源辐射电磁场的数值分析；提出了一种改进的交替方向隐格式时域有限差分法。

For accelerating this problem's compute time in parallel computer, we use Saul'yev type asymmetric different scheme and classicality explicit-implicit type to get a new alternating group explicit method for solving diffusion equation.

为便于在并行计算机上计算以加快计算速度，现将第二类saul'yev非对称格式以及古典显、隐式相结合，构造了求解扩散方程的一类交替分组显格式，其基本结构为四点组，并针对内点为偶数的情况，在节点两端点处进行了处理，以提高精度。

Compared with traditional numerical methods, the LB method has several important features, including: simplicity in algorithm, easily programming, direct calculation of pressure from a state equation and amenability to simulate all kinds of flow field with complex boundaries, it also has many advantages in the respect of parallel computation because of its regional evolution.

与传统的计算方法相比较，LB方法具有算法简单、编程容易、压力可以通过状态方程直接求解、能够模拟各种复杂边界的流场等优点，并且计算的局域性使其在并行计算方面也具有很大的优势。

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。