中文说明:应用背景在科学计算与工程技术等很多领域,比如计算流体力学,航空航天工程研究领域的飞船飞行轨道的计算,电路优化设计以及矿藏数值模拟等很多重要的实际问题中。通常采用有限元法,或者有限差分法来离散原微分方程,最终转化为线性方程组的求解问题。关键技术迭代法:用某种极限过程去逼近线性方程组精确解的方法。迭代法具有存储单元较少,程序设计简单,原始系数矩阵在计算中始终不变等优点,但存在收敛性与收敛速度的问题。迭代法根据具体的实现过程的不同又分为两大类:迭代法主要分为两类:一类是以矩阵分裂为基础的定常迭代法,另一类称为非定常迭代法。
English Description:
Application backgroundIn many areas of scientific computing and engineering technology, such as computational fluid dynamics, research in the field of Aerospace Engineering, the calculation of the spacecraft orbit, circuit optimization design and mineral deposits numerical simulation etc. many important practical problems. The finite element method, or finite difference method, is usually used to solve the problem of solving the linear equations..Key TechnologyIterative method: a method of approximating the exact solution of a linear equation with a limit process. The iterative method has the advantages of less memory element, simple program design, and constant of the original coefficient matrix, but there are some problems in the convergence and the speed of convergence.. Iterative method according to the specific implementation process different is divided into two categories: iterative method is divided into two categories: is in a matrix