查询词典 numerical algorithm

In chapter 4 we proposed a linear inequality constraint optimization question frame about projection of gradient algorithm, and has performed the numerical experimentation, but its convergence also needs further study.

在第四章中我们提出了线性不等式约束最优化问题的一个投影梯度算法框架，做了数值试验，但其收敛性还有待进一步研究。

We give a two-parameter penalty function and its exact penalty theorem for inequation constrain- ed optimization,meanwhile,We propose a quasi Newton algorithmfor solving the unconstrained nonlinear penalty problem and study its convergence,Numerical examples illustrate the feasibility of the algorithm.

对于含约束不等式的优化问题，构造双参数精确罚函数并给出精确罚定理，提出了一个求解这种罚函数问题的布鲁丹族拟牛顿算法，研究了算法的收敛性与收敛速度，并进行了数值试验，证明了可行性。

Boundary element method is a kind of numerical algorithm on boundary; it is based on the boundary integral equation and employs the element discretization technique.

边界元属于边界型的数值方法，它是以边界积分方程为数学基础，同时采用了有限元法的单元离散技术。

Firstly, Wavelet-Galerkin algorithm for solving the first kind of singular integral equation with the Hilbert kernel is proposed, we use the characteristic of periodic wavelet on L~2([0,1]) and Hilbert kernel to solve and make stiff matrix lower dimensions and become sparser through thresholding,thus the cost of computation is reduced. Because of the singularity of Hilbert kernel we use Tikhonov regularization method to solve the system of stiff equation. At last the convergence and numerical result of approximate solution are given. Secondly, an approach of regularization based on Fourier is presented for sideways heat equation; we give the theory proof and error estimate.

首先，提出了含Hilbert核的第一类奇异积分方程的小波伽辽金(Wavelet-Galerkin)数值算法，该算法中利用了L~2([0，1])上的周期小波和Hilbert核的特点进行处理，使得刚性矩阵维数降低并且通过阈值使得它更加稀疏，减少了计算量；由于Hilbert核的奇异性，通过Tikhonov正则化方法求解所得到的刚性方程组，给出了收敛性和数值结果；其次，对标准的一维逆热传导方程给出了一种基于Fourier正则化方法，给出了理论证明及其误差估计，解决了文献中算法与理论误差估计的不相匹配的现象，该正则化方法不仅保留了测量数据的部分高频成份，且与文献中的算法具有同样的计算量和误差估计。

This is the learning algorithm "Adams steps with four bands interpolation formula correction" of their times calculated for the numerical solution of differential equations procedures, they can modify the equation for the solution and the other equation, Hi!

这个算法是在学习"用Adams三步四阶内插公式校正"时自己遍的计算这个微分方程数值解的程序，可以修改里面的方程而用于求解其他的方程，请指正！

Interpolation algorithm is a core of the control software in numerical control system.

插补算法是数控系统控制软件的核心。

In chapter six, A finite element model to evaluate the mechanics properties of thin wall structure is put forwards. The 4-node quadrilateral Hughes-Liu shell element with five through-the-thickness integration points is employed. The material is assumed to satisfy the elastic-plastic yield condition with isotropic hardening. The single surface contact algorithm is taken to deal with the contact searching. The priori stabilization procedures for the numerical control of the hourglass instability and the penalty method for the evaluation of contact force are used. The classical Coulomb law of friction is employed to evaluate the friction force.

第六章采用法向方向5点积分的4节点Hughes-Liu壳单元，前置参数法砂漏控制技术，等向强化弹塑性材料模型，分步增量应力回映方法，一体化接触搜寻算法，罚参数接触力计算方法及经典摩擦定律，建立了一种计算受冲薄壁结构大变形力学特性计算的有限元模型，通过对汽车A传动轴及汽车纵向方形吸能梁的大变形力学特性分析，验证了该有限元模型的正确性。

Numerical experiments have been made on certain knapsack problems and computational results show that the proposed algorithm is very promising.

以背包问题为例进行的数值实验表明，该方法是求解线性0-1规划的行之有效的实用方法。

This program is the numerical differential line drawing algorithm.

本程序实现的是数值微分画线算法。

Accordingly, a numerical algorithm is proposed to obtain the lower bound.

与此同时，相应的能获取最低性能指标的算法也已给出。

A backer of an Afghan law that critics say legalizes marital rape has rejected the international outcry as foreign meddling.

饱受批评的一项法律的拥护者说合法化的婚内暴力不会受国际舆论的干涉。

Years ago, a ancient Egyptian fleet went to the Land of punt for seeking a kind of flavor named "myrrh", and aromatic plants which has dense exotic style for the queen Hatshepsut.

3500年前的一个古埃及的舰队到&彭特之地&寻找一种叫没药的香料。