数值方程

Unitary linear regression is done between w~e、 w~ρ、 e~ρ、w_L~w_P. For α_v 、 C_ c between w、ρ、 e、 w_P in eastern China, unitary linear regression is done to silty clay as well as multivariant regression with coefficient iteration method and least-squares procedure are done to all kinds of soil, and the two results are compared. Unitary linear regression and multivariant regression are done to c_q、φ、 c_d、φ_d between e and I_P. Unitary linear regression and multivariant linear regression are done to napierian logarithm of q_u between e 、 I_L、 w_P and w_L, then the equations of regression are checked with other parameters.

对物理指标含水量～孔隙比、含水量～湿密度、孔隙比～湿密度、液限～塑限作了一元线性回归；对华东地区粉质粘土的压缩系数、压缩指数和含水量、湿密度、孔隙比及塑性指数作了一元线性回归；对华东地区所有土类的压缩系数、压缩指数和物理性质参数用系数迭代法和最小二乘法作了多元线性和非线性回归，并对两种方法得到的回归结果作了比较；作了快剪强度指标和固结快剪强度指标关于孔隙比和塑性指数的一元线性回归和多元线性及非线性回归；对无侧限抗压强度的自然对数值和孔隙比、液性指数、液限及塑限作了一元和多元线性回归，并用其它工程的参数对回归方程进行了检验。

The numerical results show that our method is effective. For the noncharacteristic Cauchy problem for 2-D and 3-D heat equation, we give the explicit H\"{o}lder type stability estimates by using weighted energy method. Especially,H\"{o}lder type stability estimate for discrete solutions of the heat equation is obtained through a fully discrete method. The numerical results are presented.

对于二维和三维的热传导方程的非特征Cauchy 问题，我们利用权函数方法，给出了一个显式的H\&{o}lder 型的稳定性估计，特别的，对于二维的非特征Cauchy问题，我们利用充分离散的方法，对二维问题的离散形式同样给出了H\&{o}lder 型的稳定性估计，同时，我们也给出了数值例子来说明我们的估计。

Using a forced dissipative nondivergent nonlinear barotropic vorticity equation and by means of various schemes, we did simulation experiment and get its numerical solution .

从强迫耗散无辐散正压涡度方程出发，用不同方案模拟试验得到它的数值解，它与已经导得解析解的特征较为一致。

In chapter 2 and chapter 3,the nonoverlapping DDMand overlapping DDM based on natural boundary reduction for 2-D exteriorHelmholtz problem are studied respectively,the convergence and the conver-gence rate of these algorithm are discussed,some numerical results are given.

其次，分别研究二维Helmholtz方程外问题的基于自然边界归化的非重叠型和重叠型区域分解算法，分析了这些算法的收敛性和收敛速度，并给出了数值算例。

The 5-D mothod was used in the optimum design of nonsymmetrical T-type passive filter. Results show that 5-D data field obtained provides direct decisionmaking supports in the global optimum solution of quaternion nonlinear equation, and for the robust analysis of the solution as well.

变频器用非对称T型无源滤波器优化设计的实践表明，在求此类4元非线性方程全局最优解及判别数值解的鲁棒性时，该方法所得到的五维数据场可提供直观的信息。

Influence of the magnetic field on the microstructure of AZ91 magnesium alloy;2. The results show that the current density, magnetic field intensity and electromagnetic force in melts are distributed nonuniformly to a great extent.

应用数值方法对直流电弧炉条件下的 Maxwell 方程进行了解析，结果表明，熔体中的电流密度、电磁场强度和电磁力的分布是非常不均匀的，电弧附近的钢水中的电流密度较其它区域高出 1～2 个数量级，电磁力较其它区域高出 2～3 个数量级，该区域的电磁力对熔体搅拌起着决定性的作用，预测了钢水的流形。

Horizontal diffusion was used to control small-scale noise that results from numerical dispersion, nonlinear instability, and discontinuous physical processing, etc. by adding a linear forth-order monotonic horizontal diffusion with orographic flux limiting to the prediction equation.

水平扩散方案是将一个通量受地形限制的线性四阶单调水平扩散项加到预报方程，去控制由数值扩散、非线性不稳定及不连续物理过程等引起的小尺度噪音。

Based on Born approximationmethod and the local principles of wave function in inhomogeneous medium and theray theory and the integral equation theory,this dissertation researches the theory andsimulation of the inversion method of large perturbational medium parameters andbreaks through the approximation condition of the small perturbational parametersand the weak scattering in traditional inversion method.

本文在Born近似方法的基础之上，基于非均匀介质中波函数局部理论和射线理论及积分方程等理论方法，对大扰动参数反演方法的理论和数值模拟进行了研究，突破了传统反演方法要求的参数小扰动和弱散射条件。

CFD-fluent simulation software and measurement are applied to establish the math models of exhaust gas concentration distribution and boundary conditions. Finite volume methods and PISO are used to solve the differential equations of exhaust gas distribution in a kitchen. After the adjustment and comparison with those from the practical measure, the simulation results of CO2 and CO concentration distributions accord with experimental ones.

运用CFD-fluent模拟软件和实测相结合的方法，建立废气的浓度和扩散分布的数学模型与边界条件，利用数值分析法中的有限体积法和PISO算法对厨房内废气分布的微分方程进行离散和求解，对模拟结果进行校正并与实际测试结果进行比较。

This paper studies the correlation between the maximum height s of the Plinian volcanic eruption columns and mass flux of the volcanic eruptions according to measurement data acquired from active volcanoes around the world.

Plinian式火山喷发柱最大高度是研究火山喷发对环境、气候影响时空范围的重要物理学参数，在分析了影响Plinian式火山喷发柱最大高度诸因素的基础上认为，火山喷发的质量通量是反映火山喷发柱最大高度最有效并且在实际中可以进行测量的参数之一，以此为基础，利用目前实测的火山喷发柱最大高度的数值与火山喷发质量通量的结果，建立两者的相关方程为：H＝0。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。