查询词典 Jacobi method

To seek new infinite sequence exact solutions to nonlinear evolution equationsNEE(s, the formula of nonlinear superposition of the solutions of the second kind of elliptic equation are given, infinite sequence exact solutions to combined KdV with varible coefficients and forcible term is constructed with the aid of symbolic computation system Mathematica, which include Jacobi-like elliptic function solutions, infinite sequence soliton-like solutions and infinite sequence triangular function solutions.

为了获得变系数非线性发展方程的无穷序列精确解，给出第二种椭圆方程解的非线性叠加公式，借助符号计算系统Mathematica构造了带强迫项变系数组合KdV方程的无穷序列精确解。这里包括无穷序列类Jacobi椭圆函数解、无穷序列类孤子解和无穷序列三角函数解。

The main content includes that the accuracy of interpolation operators is creased since defect equations introduce less error: Gauss-Seidel solution can save effectively the computational time, in particular, the CPU-time for the setup phase; Jacobi-relaxation interpolation contributes to efficient and robust algebraic multigrid methods by a simple and purely algebraic mean.

最主要的内容是基于亏量方程引入的误差较小，从而进一步提高插值算子的精度；采用Gauss-Seidel解法有利于节省计算时间，特别是预备阶段的CPU时间；插值的松驰以一种简单的纯代数的方式获得高效且稳健的代数多重网格算法。

There are three constrained conditions on Poisson matrices, which is equivalent to Jacobi identity for vector fields.

在第二章，我们给定向3-流形上每个整体标架联系了一个Poisson矩阵。

Secondly,we develop multiple-dimensional Jacobi polynomial approximations in non-isotropic Hilbert spaces.

本文在建立Jacobi谱方法和拟谱方法数值分析理论的基础上，数值求解这三类问题。

At first, the governing differential equations are solved by Fourier transform, then, under consideration of the mixed boundary value condition, a pair of dual integral equations about the vertical vibration are listed which are converted to linear algebra equations by the Jacobi orthogonal polynomial and solved by numerical procedures. Consequently, the dynamic compliance coefficient Cv versus the dimensionless frequency is derived, and the program is compiled.

首先，采用Fourier积分变换解析求解了Biot方程，得到了该动力控制方程在Fourier变换域上的一组通解，然后由混合边值条件建立了地基上基础竖向振动的对偶积分方程，并应用Jacobi正交多项式将其转化为一组线性代数方程组，通过求解得到了不同无量纲频率下基础振动的动力柔度系数Cv，编制了相应的计算程序。

In Chapter 4, by some important summation formulas, we prove some results of number theory, such as Jacobi two square numbers theorem and Lagrange four square numbers theorem.

第四章：应用第二章介绍的几个重要求和公式，证明了数论中的若干结果。

Use c language to make a Jacobi iterative arithmetic which could solve the linear equation group, but it s may be more ...

求解线性方程组的迭代，是一种简单的迭代法，可不如 Gauss-Seidel迭代法收敛速度快。

The first one is to study how the convergence properties of Newton-type methods change with convergent order. The second one is to study what will infects the computation of the inversion of Jacobi matrix.

本项目对其涉及计算复杂性的几个问题进行的研究，关心的问题是： 1）Newton型方法的收敛性随着阶变化的关系。2）寻找是什么影响着Jacobi矩阵逆的逼近。

Getting out the Eigen values and eigenvectors of the series covariance matrix by the Jacobi algorithm in C language also is discussed in this paper.

本文使用C语言，利用雅可比算法，编写出可快速求出数据因子分析中所要求的矩阵特征值和特征向量的程序。

Moses Mendelssohn disagreed with Jacobi, saying that there is no actual difference between theism and pantheism.

摩斯？门德尔松不同意雅可比的观点，认为在泛神论与无神论之间并没有实际区别。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。