作为引子，你们可能已经知道了，一元微积分里面的一个小把戏，也就是求隐函数微分法。
And, just to motivate that, let me remind you about one trick that you probably know from single variable calculus, namely implicit differentiation.
可以通过隐函数微分法和乘法法则得到，或者直接,把关于x，y，z的偏微分放进来。
You can get this either by implicit differentiation and the product rule, or you could get this just by putting here, here,and here the partial derivatives of this with respect to x, y, and z.
根据喉部沉积的传热模型建立了偏微分方程组，采用有限差分完全隐式格式进行数值分析计算。
On this heat transfer model the differential equations were based, and the finite difference complete concealed grids were used in the numerical analysis computation.
采用交替方向隐式算法求解偏微分方程。
The partial differential equation is solved by Alternating Direction Implicit algorithm.
认为局部隐式有限元法是一种绝对稳定的方法，且具有快速收敛的性质，是求解非线性偏微分方程的一种有效的数值算法。
Locally implicit finite element method is a satisfactory numerical method to solve non-linear partial differential equations for its unconditional stability and its high rate of convergence.
本文应用压缩映象原理证明了一阶隐式微分方程解的存在唯一性定理。
Using the contraction mapping principle, we proved a theorem about the existence of solution for initial value problem of a class of implicit ordinary differential equations of the first order.
采用交替方向隐式算法求解偏微分方程。
Its partial derivative equation is solved by alternating direction implicit algorithm.
控制方程是一维非定常气体动力学偏微分方程组，用隐式中心差分结合特征线法解算。
The numerical solution of the governing equations, pertaining to one-dimensional unsteady gas dynamics, utilizes an implicit finite-difference scheme combined with the method of characteristics.
控制方程是一维非定常气体动力学偏微分方程组，用隐式中心差分结合特征线法解算。
The numerical solution of the governing equations, pertaining to one-dimensional unsteady gas dynamics, utilizes an implicit finite-difference scheme combined with the method of characteristics.
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