消元法

In the light of the complex, high-level and non-linear feature of the mathematical model which describe the transport of the coalbed methane, this paper study the fully-implicit solving method of the mathematical model in detail. Based on the complexity of the algebraic equations which are formed eventually, according to the alternating direction implicit difference pattern, this paper use the iterative method and the fully main element Gauss-Jordan eliminating method to solve equations, which is to use the iterative method to determine coefficient matrix and use the fully main element Gauss-Jordan method to solve th linear algebraic equation group, at the same time of studying the solving method of the mathematical model, according to the devising requirement of FORTRAN77 program structure, this paper draw up computer program and form the corresponding computer model, and verify the validity and reliability of the model in theory by operating the model.

重点研究了模型内、外边界及有关参数的处理，针对描述煤层甲烷运移的数学模型是一个复杂、高阶非线性数学模型的特点，详细研究了模型的全隐式求解方法，根据最后形成的代数方程组的复杂性，按交替方向隐式差分格式，采用迭代与全选主元高斯约当消去法相结合的方法求解方程：即确定系数矩阵采用迭代法，求解线性方程组时采用全选主元高斯约当消去法，在研究模型解法的同时按FORTRAN结构化程序设计的要求，编制计算机程序，形成相应的CBMRS计算机模型，并通过模型的运行从理论上证明了模型的正确性与可靠性。

Those equations are dispersed in space by iso-parameter elementmethod and in time by using backward difference. A numerical simulator is established byFortran, the ideas of high part make the of structure program clear, maintain easy, calculationeffective.

在此基础上利用Fortran语言编制了有限元方法的油藏模拟器，采用等参元对渗流方程在空间上离散，采用向后差分在时间上离散，线性方程组的求解采用变带宽高斯消去法，该方法充分利用刚度矩阵呈条带状和其对称性的特点，大大减少了所需存储空间。

After that a 40 degree univariate polynomial equation can be obtained. Other variables can be computed by Euclidean algorithm and Gaussian elimination.

使用辗转相除法和高斯消去法可以直接快速的求出其他3个变元。

Gauss law and order eliminate Gauss out PCA elimination method is commonly used computers to solve linear equations in a direct way.

Gauss顺序消去法与Gauss列主元消去法是计算机上常用来求解线性方程组的一种直接的方法。

Out PCA Gaussian elimination is my calculation A study prepared at the completion of the main-element Gauss elimination method to achi...

列主元高斯消去法是我学习计算方法A时编写的完成了列主元高斯消去法实现方程组求解。

Direct method of Gaussian elimination, Gaussian main-element elimination, and the iterative method of Jacobi iteration, Gauss - Seidel (Gauss - Seidel) iterative method is linear equations numerical solution of important ways.

直接法中的高斯消去法、高斯列主元消去法，以及迭代法中的雅可比迭代法、高斯-赛德尔（Gauss-Seidel）迭代法又是线性方程组数值求解的重要方法。

The "divide and conquer" strategy is used to improve the key steps of the undetermined coefficient algorithm for constructing polynomial conservation laws of nonlinear DDEs, so the calculation complexity problem caused by the dramatic increase of redundancy is solved. Furthermore, Wu\'s elimination method is applied to solve the obtained nonlinear algebraic equations thus to get a more efficient algebraic algorithm.

本文从微分方程的标度变换出发，利用"分治"策略改进了构造非线性DDE守恒律待定系数算法中的关键步骤，有效解决了因冗余项急剧增加引起的中间计算过程膨胀问题，并将吴消元法应用到非线性代数方程组的求解上，从而给出了一个更高效的代数算法。

Based on Wu's elimination method and "divide-and-conquer" strategy, the undetermined coefficient method for constructing polynomial conservation laws of nonlinear differential-difference equations was improved. Furthermore, a Maple package CLawDDEs was developed to automatically derive conserved densities and associated fluxes of polynomial differential-difference equations.

基于吴消元法和"分治"策略，改进了基于标度不变性构造非线性微分差分方程多项式形式守恒律的待定系数算法，并在计算机代数系统Maple上实现了改进后的算法，其中的软件包CLawDDEs可自动推导出微分差分方程的守恒密度及连带流。

We analyze formers centers conditions for polynomial Lienard equations, give direct conditions of a nondegenerate center at the origin with elimination theory, and give an algorithm for general situations with algebraic elimination methods of polynomials.

运用多项式的代数消元法，对前人给出的多项式Liénard方程的中心判据进行分析，对多项式的系数给出原点是非退化中心的直接条件，并对较一般的情形给出算法。

This procedure using Gauss elimination to solve complex linear equations solution of the problem.

详细说明：本程序运用高斯消元法，解决复杂的线性方程组解的问题。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。