重算

Chapter 9: We report a large quantity of numerical experiments of 13 different algebraic multigrid algorithms for solving the Poisson equation, anisotropic equation, equation with cross-derivative terms, general matrix problems with large off-diagonal positive entries, biharmonic equation, Toeplity matrix, elasticity systems, finite element discretization of the Laplacian and even 3D problems. Particular attention is focused on asymptotic convergence factors and CPU-time consumed. Numerical results for many different types of practical problems demonstrate the efficiency and robustness of the proposed algebraic multigrid methods.

第九章：在各种代数多重网格算法的基础上，进行了大量的数值试验，具体给出了十三种不同的代数多重网格方法求解泊松方程，各向异性方程，带混合导数项的方程，带有大的非对角正元素的一般矩阵问题，重调和方程，托普利兹矩阵，弹性力学方程组，拉普拉斯算子的有限元离散，甚至三维问题的较为丰富的数值结果，重点关注它们的渐近收敛因子和所需的CPU时间，来源于不同类型问题的计算结果既为代数多重网格理论分析和算法的改进提供了很实用的资料，同时也证实了本文给出的代数多重网格算法的效绩和稳健性。

In the second chapter,we establish the weakly asymptotic order of the classical Bernstein interpolation sequence approximate functionin the Wiener space(or 1-fold integrated Wiener space).

第二章给出了经典的Bernstein多项式算子列逼近函数时在Wiener空间(或1-重积分Wiener空间)下的平均误差的弱渐近阶。

In this paper we study the method of interpolation by radial basis functions in H~k(k ≥ 1) and give some error estimates. By means of such interpolation with a special kind of radial basis function, we construct a basis in H~k(k ≥ 1). Combined with the Galerkin method, this theory can be applied to solve boundary value problems for elliptic partial differential equations (such as the third boundary value problem for Poisson equation and the corresponding problem for the biharmonic equation), and some numerical experiments are also given.

本文从求解偏微分方程的角度出发，在被逼近函数u属于一般的Sobolev空间H~k(k≥1)的情形，引入了一种径向基函数插值方法，并建立了相应的误差估计；再利用这种插值性质，从一类特殊径向基函数出发构造Sobolev空间的一组基，针对Poisson方程第三类边值问题和重调和方程类似边值问题，为用无网格算法求解偏微分方程边值问题建立了相应的理论，并通过算例来验证了这一算法。

The mechanism of cycloaddition reaction between singlet carbene and Formylchloride has been investigated by using ab initio MO theory of the restricted Hartree-Fock at HF/3-21G~* level.

用限制的H artree-Fock从头算分子轨道理论研究了单重态卡宾与甲酰氯环加成反应的机理。

The loss would have been worse, but that was cold comfort .

损失不算太重，但这并不是什么安慰。

The loss could have been heavier , but that was cold comfort.

这次损失不算太重，但那并不值得高兴。

It is shown that with right coordinate transformation in the cases, the error of th...

理论和数值算例表明，只要对重频系统设计的反馈律作正确的坐标变换，应用到上述三种情形时，其闭环系统的衰减律的误差只有相应频率分散度的一阶小量

It is now under massive surveillance in the Montreal Customs House, and soon to be returned to France.

却不愿看到他就这样退出江湖，在他的威逼利诱下，尼克迫不得已重拾老本行，然而这还不算最糟糕的。

The main product and the operation range: the paperless recorder、the pressure verify meter、the libration regulater、the multi-channels detecter、the intelligent PID regulater、the digital eletronic meter、the phasic triger、the power regulater、the thermocouple、the Thermo-resistant、the boiler control、the sewage dispose、the complete set of eletric auto engineering empolder、design、fixing.

公司主要产品及业务范围：无纸记录仪、压力校验仪、温度校验仪、振动变送器、多路巡检仪、流量积算仪、智能温控表、数字电工表、电阻分选仪、称重显示仪、移相触发器、电力调整器、涡轮流量传感器、热电偶、热电阻、锅炉控制、污水处理、电气及自动化工程开发、设计、成套。

Even today my complaint is bitter; his hand is heavy in spite of my groaning.

2如今我的哀告还算为悖逆。我的责罚比我的唉哼还重。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。