数值

The system of differential equations for a geodesic line on an algebraic surface was discredited into a nonlinear system. Then it was solved numerically based on iterative methods.

在算法中，把决定代数曲面测地线的微分方程组离散为一个非线性方程组，然后采用迭代数值方法求解。

The finite difference is used to approximate differential operation; the reflectance map equation described by the first order nonlinear differential equation is transformed into an algebraic equation about the unknown surface heights, and then the objective equation is constructed by the reflectance map equation and gradient information of image. Moreover, the Newton iterative algorithm is utilized to obtain the numerical solution and 3D shape of the surface.

采用有限差分近似微分运算，将一阶非线性微分方程所描述的反射图方程转化为关于未知表面高度的代数方程，再由反射图方程和图像梯度信息构造目标方程，进而用Newton迭代算法求出该方程的数值解，得到表面三维形状。

If the surface isrepresented by an implicit algebraic equation,the mapping can be constructed bythe theory of parametrization of algebraic surfaces;If the surface is represented byan parametric equation,the parameter values on the parameter plane can be solvedby numerical method or Grobner Basis method.

若曲面由代数隐式方程给出，可通过代数曲面参数化理论构造映射；若曲面由参数方程给出，可通过数值方法或Grobner基方法求解参数型值点。

In the chapter7 and 8, the numerical algorithm for the variable delay differential algebraic system is studied.

在第七、八章，本文就变延迟微分代数系统的数值算法展开了研究。

A programming language based on ALGOL and designed for non-numeric manipulation of mathematical expressions.

一种以ALGOL语言为基础，为数学表达式进行非数值操作而设计的程序设计语言。

A programming language based on ALGOL and designed for nonnumeric manipulation of mathematical expressions.

一种以ALGOL语言为基础，为数学表达式进行非数值操作而设计的程序设计语言。

To speed up the convergence rate of the iterative algor...

用所提出的耦合算法分析算例，得到的结果与有限元法、边界元法和另一种耦合算法的数值计算结果一致，验证了这种算法的正确性和可行性。

Both of the numerical experiments of test model data and industrial data have confirmed the accuracy and robust of our algor...

采用模拟数据与真实数据进行的数值试验均表明：计算结果精确可靠，抗干扰性强。

Furthermore,3-D FEM algorithm based on the division of tetrahedral grids is deduced by the equations of point electrical source field.

同时，从点电源场满足的方程出发，本文推导了三维复杂地形条件下有限元数值模拟算法，并编制了计算程序。

In this thesis, we mainly discuss the algorithm and the theory of conjugate gradient method .

本文主要研究了共轭梯度法的算法和理论，得到了一些理论和数值结果。

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。