并根据计算结果选出最优的材料梯度方程。
我的意思是，上一次我们讨论过了，这个梯度是垂直于等高线，并且是指向方程增长的方向的。
I mean we'd seen in last time, but the gradient is perpendicular to the level and points towards higher values of a function.
选择共轭梯度法解决由有限元法形成的大型稀疏矩阵方程，应用FORTRAN语言编制了数值模拟系统软件。
Conjugate gradient method were choosed to solve the large sparse matrix equations induced by the FEM and computer language FORTRAN was used to programme the numerical simulation system software.
本文根据光线轨迹方程，讨论一种等折射率面为指数型变化的梯度折射率纤维透镜的成象特性。
The imaging characteristics of a GRIN fiber lens with exponential variation of the constant-index surfaces are discussed based on the ray paths equations.
用积分本征模方程研究了在托卡马克等离子体中包含全部动力学效应的动力剪切阿尔芬波模（无论是否存在温度梯度） 。
Kinetic shear Alfvn modes in tokamak plasmas (with or without temperature gradient) in the full gyrokinetic limit are numerically investigated by using the integral eigenvalue equations.
用此方程计算出的梯度层厚度随渗碳时间变化的关系与实际测量值比较接近。
The relationship between growth of graded layer and carburizing time calculated by the equation is close to experimental results.
某低渗透油田的测试分析结果表明，该IPR方程能有效评价启动压力梯度动态变化对油井动态的影响。
The testing results of a low permeability reservoir indicate that this IPR equation can effectively evaluate the impact of starting pressure gradient on inflow performance.
在非线性偏微分方程中，根据弱可压缩液体的假设，忽略二次梯度项，在试井较长时间内将产生误差。
According to the assumption of slightly compressible fluid, neglected the quadratic gradient term in nonlinear partial differential equation is usually lead to error.
微分方程中各个反应组分的浓度梯度强烈相互耦合。
In these differential equations, the concentration gradients of different reaction components are strongly coupled together.
在不同的风速条件下，采用牛顿下降梯度法迭代求解非线性代数方程组形式的系缆气球平衡方程。
For the different wind speed, the equilibrium points could be got from the trim equations solving by Newton iteration method.
该方法是在辐射传递方程离散坐标近似的基础上，用求目标函数极小值的共轭梯度法进行反演计算。
The inverse problem is solved using conjugate gradient method of minimization based on discrete ordinates method of radiative transfer equation.
本文用分片线性元离散椭圆型问题。用预处理共轭梯度法求解有限元方程。
In this paper, the elliptic problems are discreted by linear elements, the finite element system are solved by PCG method.
方程中考虑了压力梯度及非匀速运动引起的附加质量力。
The pressure gradient and the additional body force due to unsteady motion have been considered in the equations.
结合伯努里方程和临界牵引力理论，得到了基于临界速度的临界水力梯度公式；
Coupling the Bernoulli's equation and critical tractive stress theory, a critical hydraulic gradient model based on critical velocity is developed.
本算法用自适应算法，二次型共轭梯度算法，解前后向预测构成的矩阵方程。
The new algorithm uses the quadratic conjugate gradient algorithm (QCGA) to solve the forward-backward linear prediction matrix equation.
PCG算法是牛顿法和预优共轭梯度法结合起来解牛顿方程的一种非精确牛顿法。
Newton PCG method is an inexact Newton like method. It is an organic combination of Newton's method and preconditioned conjugate gradient method.
本文研究了系数为强单调算子的椭圆型偏微分方程，得到了解的梯度的几乎处处收敛性。
In this paper, we study the elliptic partial differential Cquation whose coefficients are strongly monotony operators, and obtain the everywhere convergence of the gradients of solutions.
通过对时间梯度误差的分析，得到了新的梯度约束方程；
A novel gradient constraint equation was obtained through analyzing the error of temporal gradient.
功能梯度材料实体建模过程中，需要对材料成分方程系数进行不断修改以满足设计要求。
During the modeling for functional gradient materials, one needs to modify continually the coefficient of material composition functions to satisfy the design requirements.
基于两相流体动力学的理论，建立空蚀射流切割装置中短管内的压力变化梯度的基本方程式；
Based on the theory of two-phase flow, the equation of the pressure gradient is found for the short pipe in cavitation jet cutting set.
采用打靶法，数值求解了在负磁剪切托卡马克等离子体中离子温度梯度驱动的复本征模方程。
An eigenmode equation of ion temperature gradient driven instability in a tokamak plasma with negative magnetic shear is solved numerically by the shooting method.
利用数值打靶方法求解本征方程，证明存在温度梯度将加强离子有限回转半径的稳定作用。
By using a numerical shooting code, the governing equation is solved. It is shown that the presence of the temperature gradient makes the stabilization effect of FLR stronger.
本文在求解波动方程反问题的GR（梯度正则化法）方法基础上提出一种一维波动问题的分层反演方法。
The author puts forward the layer-by-layer inversion method for one-dimensional wave problem, which is based on the gradient regularization(GR)method for wave equation inversion.
并根据滤波矩阵的特殊性，？用共轭梯度法求解滤波方程。
According to the filter matrix particularity, the filter equation was solved by using conjugate gradient method.
基于一阶剪切变形板理论，推导了功能梯度材料圆形板在边界面内均布压力作用下的轴对称屈曲方程。
Based on the first-order shear deformation plate theory, axisymmetric governing buckling equations are derived for a functionally graded material circular plate subjected to in-plane pressure.
本文研究了解决大型稀疏对称正定线性方程组的一类预条件共轭梯度法。
This paper is investigated a preconditioned conjugate gradient method in solving a linear algebraic system of large sparse symmetric and positive equations.
运用梯度最陡下降法，推导出能量函数曲线演化方程，并应用于图像分割。
Using gradient-descent methods the energy function is minimized and a curve evolution equation is obtained to segment the image.
利用动力学方程组，并对其中垂直梯度项和垂直扩散项进行了参数化处理。
Dynamic equations are used in which the vertical gradient and vertical diffusion are parameterized.
基于三维弹性理论，导出了带有压电层的圆柱形梯度壳的动力学方程以及相应的边界条件。
Based on 3d elastic theory, the dynamic equations and corresponding boundary conditions about the cylindrical functionally graded shell bonded piezoelectric layers were presented.
基于三维弹性理论，导出了带有压电层的圆柱形梯度壳的动力学方程以及相应的边界条件。
Based on 3d elastic theory, the dynamic equations and corresponding boundary conditions about the cylindrical functionally graded shell bonded piezoelectric layers were presented.
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