查询词典 differentiation of implicit function

Tridiagonal block matrix elemination and sweep algorithm is successfully applied to solve the large matrix involved; central difference method is supplemented to Houbolt method to form a time integration method with estimation and correction, to solve the time integration of second order implicit non-linear equation; simplification of system equation by decoupling between the physical coordinates x and y further improves the calculation accuracy and speed.

其中：成功地引入块三对角矩阵追赶法求解上述问题构成的大型矩阵；提出中心差分法+Houbolt法的预估计—校正时间积分法，以解决二阶隐式非线性方程的时间积分问题；系统方程在物理坐标x和y上的"解耦"简化，使计算速度和计算精度得以进一步的提高。

As implicit pressure and explicit saturation method is selected to calculate black oil model and the bottom-hole pressure is introduced, the coefficient matrix of pressure equation becomes bordered seven-symmetrical matrix.

用IMPES法求解黑油模型，引入井底压力为未知数时，压力方程的系数矩阵变成了加边的七对角阵。

As implicit pressure and explicit saturation method is selected to calculate black oil model and the bottom-bole pressure is introduced, the coefficient matrix of pressure equation becomes bordered seven-symmetrical matrix.

IMPES法求解黑油模型，引入井底压力为未知数时，压力方程的系数矩阵变成了加边的七对角阵。

This paper presents a consistent tangent operator concept-based boundary element implicit algorithm for elasto-viscoplastic sensitivity analysis.

基于一致切线算子概念的弹粘塑性隐式边界元方法，进行了弹粘塑性设计灵敏度分析。

According to the Perzyna elastic viscoplastic constitutive relation and the mixed strain hardening models,a consistent tangent operator concept-based implicit boundary element method was presented.

该方法根据Perzyna弹黏塑性本构关系，基于混合硬化模型，采用隐式欧拉计算格式，得出了两种常用流动函数下弹黏塑性的径向返回算法和一致切线算子。

Spectral element methods for partial differencial equation is introduced in this study from viewpoint of the collocation approximation of Chebyshev polynomial. Wave Equation and its space discretization are deduced. Two time integral methods, central difference method and implicit Newmark method, are introduced, and their stability and applicability are also discussed in some details. The significance of absorbing boundary conditions in spectral element methods for Aeroacoustics is explained, and Clayton-Engquist-Majda absorbing boundary conditions is emphasized and introduced, then the discrete scheme of this boundary conditions is deduced and applied to spectral element methods for wave equation.

本文从Chebyshev多项式逼近理论出发，详细介绍了谱元方法求解偏微分方程的过程；推导了流体中的声波动方程并在空间上对其进行了谱元离散；详细讨论了两种时间积分方法──中心差分法和Newmark方法，分析了它们的稳定性条件，并从理论上对比了两种方法的优缺点和适用范围；将吸收边界条件推广应用于谱元方法求解气动声学问题中，重点介绍了Clayton-Engquist-Majda吸收边界条件的原理和公式，推导了该吸收边界条件的变分形式，并将其引入波动方程的离散形式中。

The numerical modeling process for SVE remediation is achieved after a steady alternant direction implicit finite difference format is developed. In this paper, as an example, the 60 days remediation under 4 different conditions is simulated, which proves that the clear-up result is mainly governed by soil permeability.

再采用一个稳定的交替方向有限差分解出传质微分方程，从而实现多维情况下竖井SVE修复的完整模拟过程。4组不同条件下为期60d的SVE修复过程的计算机模拟显示，土壤通透系数是决定修复效果的关键因素。

VOF equation use Lax-Wendroffgeshi scheme with precision of two steps. Pressure of host field is turned into initial-boundary value problem of variable coefficient parabolic equation on regular border. We utilize implicit difference method to solve it.

VOF方程的离散求解使用Lax-Wendroffgeshi格式，这种格式具有二阶精度；主场压力的求解转化为固定边界上变系数抛物型方程的初边值问题，采用隐式差分格式。

Had some implicit but unexpressed arrangement been come to between the police and the complainant at 160?

警方和160号的投诉者之间，有没有一些不成文的隐密安排？

Implicit transaction costs is a composite indicator to measure the efficiency of stock.

更多、有效性低、价格波动性高会导致隐性交易成本增大，运行效率良好的股票市场必然有较低的隐性交易成本。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。