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It is also shown for the first time that DQEM could be regarded as the combinations of the sub-domain method with the special mixed collocation method.

微分求积法和微分求积单元法是在近年里发展起来,并正在进一步发展的一种数值计算方法,本文对这两种方法的原理和它们在结构力学中的应用进行了较深入系统地研究。

Energy density and particle density in high energy heavy-ion collisions are calculated with infinite series expansion method and Gauss-Laguerre formulas in numerical integration separately, and the results of these two methods are compared, the higher terms and linear terms in series expansion are also compared.

分别用无穷级数展开方法和数值积分计算中的高斯拉盖尔求积法对高能重离子碰撞中能量密度和粒子密度数值进行计算,并对结果及级数展开中的高次项和一次项的大小进行了比较。

The objective of this study is to explore how the method of differential quadrature can be used to solve the motion of incompressible viscous fluid in the complexflow passage.

本文的主要目的是如何将微分求积法应用到求解复杂区域内不可压缩粘性流体的流动问题。

The stability of Functionally Graded Material rectangular plate made of metal and ceramic under the action of non-conservative force is analyzed.

对由金属和陶瓷两种材料制成的功能梯度材料(Functionally Graded Material,FGM)矩形板在非保守力作用下的稳定性问题用微分求积法进行研究。

Differential Quadrature Method, one of numerical methods of solving boundary problem of differential equation is introduced in this paper. By using DQM, the dynamic stability of pipes conveying fluid and rectangular plates under the action of non-conservative force is studied. The main research work is as follows.

本文首先介绍了求解微分方程边值问题的一种数值方法—微分求积法,然后采用微分求积法分别对输流管道和非保守矩形薄板的稳定性问题进行了分析研究,具体有如下三方面的研究内容。

Compared with GDQR and FEM, the error of displacement was 2.4 percent and the error of force was 4.2 percent in the solutions.

介绍了广义微分求积法的一般原则,对比了用传统DQ法与GDQR在处理截面突变问题中的优劣,研究了用DQ法试解静水压力作用下变截面环向加箍贮液罐圆筒问题,由于变截面处的奇异性问题,所得到的结果不收敛,而采用GDQR重解该问题则得到收敛解。

This paper presents mechanical quadrature methods for solving the boundary integral equations of nonlinear boundary value problems.

本文提出了解非线性边值问题的边界积分方程的高精度机械求积法

Quadrature including the trapezoidal method, abnormal integral triple integral,...

包括梯形求积法,反常积分,三重积分,龙贝格方法,辛卜生方法等6种方法。

It is the purpose of this thesis to study the mechanical quadrature method and itssuper-convergence for solving first kind weakly singular Volterra integral equations.

本文旨在研究Volterra积分方程的机械求积法及其超收敛技术。

This thesis discusses the extrapolation and combination algorithms for solving Volterraintegral equation, especially, first kind weakly singular Volterra integral equations, the-oretically and methodologically.

本文首次从理论和方法上论述了解Volterra积分方程,尤其是第一类弱奇异Volterra积分方程的机械求积法及其外推和组合算法的可行性。

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