查询词典 approximation method

To solve above problems, a new method has been created in this paper: to construct a Hermite polynomial approximation of the objective function by FE solution using the sensitivity idea.

因此，本文提出在进行若干次电磁场数值计算之后，利用目标函数值和目标函数对设计变量的灵敏度建立目标函数的计算方法。

The method is developed by using Hildebrand approximation and an ionic model based on Harrison's treatment of overlap repulsive potential which takes into account the interactions up to second neighbors.

这种新方法的理论基础是利用Hildebrand近似、并运用Harrison的处理方法来考虑排斥能，即考虑离子间的相互作用直到次临近离子。

The results show that the INDO/σ SCF method is a reasonable approximation for modelin...

结果证明INDO/σ SCF方法是模拟~(13)C NMR化学位移实验结果的一个合理近似。

The total differential cross section, elastic differential cross section and inelastic differential cross section for collision between He isotopic atoms and NO molecule have been calculated by using close-coupling approximation method.

汪荣凯 贵州师范大学理学院，贵阳 550001沈光先贵州师范大学理学院，贵阳 550001；四川大学原子与分子物理研究所，成都 610065宋晓书贵州师范大学理学院，贵阳 550001；四川大学原子与分子物理研究所，成都 610065

Mathematics A method of solving equations in which the errors resulting from an initial approximation are reduced by succeeding approximations until all errors are within specified limits.

张驰：处理方程式的一个方法，由最初的粗略估计时产生的错误在随后的估计时得到逐渐减少直到所有和错误都在特定的限制范围之内

In this method,without depending upon small parameter,a trial function with possible unknowns is used as initial approximation,then a correction functional is constructed by means of a general Lagrange multiplier ,which can be identified via variational theory.

本文提出了一种求解非线性方程的迭代算法，它不依赖于小参数，是先给方程一个带待定函数的试函数作为初始近似解，然后用拉氏乘子法构造一个迭代公式。

Modifications to the conventional layer by layer optimization method make it possible to avoid computing Hessian Matrix and its inverse form, thus it can decrease computational complexity dramatically. Simulation results for some practical problems such as function approximation and XOR problem, have demonstrated improvements over classical back-propagation algorithm and conventional layer by layer optimization algorithm.

本文在传统逐层优化算法上的改进避免了反复计算 Hessian 矩阵及其逆矩阵，因而可以减少计算量，对一些应用问题，如函数逼近、异或等问题的仿真实验证实了新的算法比经典的 BP 算法以及现存的逐层优化算法的训练速度更快、可靠性更好。

The main contents include: Some preliminary theory (introduction to Sobolev spaces and variational formulations for differential equations); finite element methods for one-dimensional elliptic problems; the construction methods for general finite elements; error estimates for interpolation operators and inverse inequalities for finite element spaces; a priori and a posteriori error estimates for the finite element method for high-dimensional elliptic problems; some typical spectral methods for partial differential equations; error analysis for the spectral approximation for some linear and nonlinear partial differential equations.

主要内容有：准备知识（Sobolev空间的基本概念和主要结果，微分方程的变分描述）；一维椭圆型方程有限元方法；一般有限元的构造；插值算子误差估计和逆不等式；高维椭圆型方程的先验、后验误差估计；求解偏微分方程的几类谱方法；线性与非线性问题谱逼近的误差分析等。

Established a series of results on the Jacobi approximation, and proposed the Jacobi spectral method for singular problems, which produces the possibility of using spectral mcthod for problems in a ball.

最近，郭本瑜教授等建立了一套相当完整的Jacobi正交逼近理论，并提出了适合于一类奇异问题的Jacobi谱方注。

The main goal of this article is the application of Lagrange multiplier to domain decomposition for generalized Stokes problem; This method is very suitable to the finite element space approximation.

本文的主要目的在于将Lagrange乘子技术应用于广义Stokes问题的非匹配网格上的区域分裂解法中；这种方法非常适用于有限元空间近似。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样