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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。

Biochemist with solid experience in analysis and characterization of monoclonal antibodies and proteins, using several analytical...

对轮班人员进行技术指导及培训。负责分析仪器的使用和维护,完成仪器的验证工作。要求:有较强的药物分析理论基础。有2年以上分析仪器操作工作经验,精通HPLC,。。。

In this paper, we study theoretically infinitesimal element method for calculation of stress birefringence in polarization maintaining fibers.

本文研究了计算保偏光纤中应力双折射特性的微元算法,对其计算值进行了理论验证。

To test this novel theory, I seized a Biro and a scrap of paper and sketched the back of my good friend Michael Skapinker's head and, as it happened to be his 50th birthday that day, I gave him the picture as a gift.

为了验证这个新颖的理论,我抓了一支圆珠笔,和一张草稿纸,开始给我好朋友迈克尔·斯卡平克的后脑勺画像。

Generalized Darcy's law was first derived from the study of fluid flow through a solid-fluid mixture,and the saturated permeability tensor of a preform could be predicted by studying its unit cell under periodic boundary conditions.

首先,采用均匀化理论分析了流体在多孔介质内的流动问题,推导出广义达西定律,证明以施加周期性边界条件的单胞为研究对象,可以预测预成型体的渗透率张量,并以单向纤维织物为例,对该方法进行了验证。

Due to complexities of the meso-structure of the braided composites, there are many difficulties in the experiment technology.

本文最后讨论了编织复合材料力学性能的实验研究方法,并对理论分析结果进行了验证。

This paper analyzes the development of lithium bromide aqueous falling film absorption process seriously.

本文认真分析了溴化锂降膜吸收过程研究的发展现状,针对上述问题,对最简单的竖板降膜吸收过程发展了现有的理论计算模型,并做了实验验证。

The results indicate that the bulge height and the plastic strain of the workpiece increase with the increase of temperature.

试验验证了模拟的可靠性和有效性,为确定合理的工艺参数提供理论依据。

The method amending atmosphere influence is introduced, which places large area gray body beside the target. After academic analysis and experiment research, it is found that the "black body demarcation curve" and "reference curve" intersect at the atmosphere temperature point, and the slope amending coefficient and offset amending coefficient could be calculated based this two curve. After corresponding amending on target gray, the infrared radiation characteristics could be calculated by rule and line.

介绍了通过放置在目标附近的大面源灰体修正环境影响的方法,经过理论分析及实验验证,发现"黑体标定曲线"和"参考曲线"相交于环境温度点,并且根据这两个曲线可计算出环境影响的斜率修正系数和偏置修正系数,对目标的灰度值进行相应的修正就可以准确地计算出目标的温度等红外辐射特性。

The schematic of the circuit is simulated in Cadence; and the simulation results are in accordance with the theoretical results.

运用Cadence的仿真工具对电路进行了逻辑仿真验证,仿真结果和理论推导结果一致。

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推荐网络例句

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了,但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场,你等着挨绳子吧!

Several theories about reigniting and extinguishing of the arc have been refered.

本文综合考虑了几种电弧重燃和熄灭理论。