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In this paper, they have not only illustrated the practical approaches and methods of modern mathematical analysis used in anode baking and thermotechnical procedure, but also provided computational techniques for the approximate solution to thermotechnical differential equations.

它的创新之处在于借助Mathematica系统的强大的符号运算功能与该系统提供的控制语句,能实现系统有效渐近解的自动求解,到目前为止,还很少见到用计算机实现其自动求解过程

In this paper we introduce a finite element program design method for solving 3 D thoracic electrical field distribution,based on Borland C++ for DOS and using isoparametric element of arbitrary hexahedron.In the process of solving final finite element equation,this paper uses the method of blocking and 'getting big number' to deal with total coefficient matrix and boundary conditions.

本文介绍了一种采用等参数8节点任意六面体单元来求解人体胸腔三维恒定电场分布的有限元程序设计方法,程序的编制基于BorlandC++ForDOS的编程环境,在对最终形成的有限元代数方程的求解过程中采用了分块处理总系数矩阵及"取大数"处理边界条件的方法。

Not only is the method applied in this paper better to solve the iteration between unsteady convection and conduction and the boundary condition problem, but also is a developmental application on forward and backward difference of windward scheme under unsteady condition.

不仅较好地解决了对流换热和导热的迭代求解和边界条件的处理问题,还将迎风格式的向前和向后差分发展性地应用于非稳态求解过程

In classical calculus of variations, functional minimum problem is often transformed into boundary-value problem of differential equations.

已有的求解方法中,无论是变分法,还是直接法,求解过程都必须离线进行。

At that time, however, nonlinear differential equations had no universal solutions and some problems of celestial mechanics were still required to be resolved.

而非线性微分方程没有普遍解法以及一些天体力学问题的未决,促使庞加莱在微分方程求解过程中引入定性思想,创立了常微分方程实域定性理论这一新分支,突破了原有的微分方程求解的思维束缚,是微分方程研究历史上的一次重大飞跃。

A solution was constructed in the circular domain which satisfied the requirements that stress be zero at the hill edge and be arbitrary in the other part.

求解过程中将整个求解区域分割为2个部分处理,包括弧形凸起地形在内的一个圆形区域Ⅰ、区域Ⅱ。

To formalize this algorithm,crosscutting contract calculus and a set of contract elaboration rules are presented.

为了形式化这个算法,提出Crosscutting Contract演算和一组契约求解规则,并通过定义和证明契约完备性来保证契约求解过程的正确性。

Meanwhile, the use of matrix diagonalization in the numerical solution of the problem greatly reduces the CPU time and the storage of computer.

在隐式求解过程中,采用了矩阵对角化算法大大减少了求解方程所需的计算机时和内存,在小型计算机上即可进行。

This paper uses ridge estimation method to solve the potential ill-conditioned problem in semiparametric regression model.

针对半参数回归模型求解过程可能出现的法方程病态问题,提出了用岭估计原则改进半参数模型的求解。

The deformation compatible equation based on the catenary cable element is derived in chapter 2, and corresponding program is made to solve the accurate distribution of the prestress for cable dome. During the solving, two-nodes bar elements and catenary elements are adopted for the struts and cables of structure respectively. As the cable dome is a kinematically indeterminate system, its solving process is also derived in detail and the equations, which are based on large distortion, are adopted to solve the problem.

第二章推导了基于悬链线解析解的索单元变形协调方程式,并编制了相应计算程序对索穹顶结构精确的预应力分布进行求解,结构分析时压杆采用两节点直线杆单元,索采用悬链线索单元;考虑到索穹顶结构属于动不定结构体系,文中还对动不定体系的求解过程进行了详细的推导,同时采用建立在大变形基础上的变形协调方程来求解结构体系的有限机构位移。

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这两个团体间的分歧难以掩饰。

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