canonical equation

Then we introduce the model to the Hamilton system and obtain the Hamilton canonical equation.

首先利用Hamilton原理对耦合结构进行建模,然后利用有限元方法将空间连续模型离散化,得到有限元模型,然后将模型导入到Hamilton系统中,获得Hamilton正则方程。

From the mixed variational principle of thin plates, by selection of the statevariables and its dual variables the Hamilton type generalized variational principleand the Hamilton canonical equation are deduced.

本文通过薄板问题混合能变分原理，选用状态变量及其对偶变量，导出了一般的Ｈａｍｉｌｔｏｎ型广义变分原理和Ｈａｍｉｌｔｏｎ正则方程，这样就突破了欧几里德空间的限制，在Ｈａｍｉｌｔｏｎ力学的数学框架辛几何空间中，对全状态相变量进行分离变量，并采用共轭辛正交归一关系，给出任意支承条件下薄板问题的辛精确解。

In this paper, plane stress elastic problem is taken for example, Galerkin variational equation of canonical equation of its is firstly introduced.

　首先引入了Ｈａｍｉｌｔｏｎ体系中平面应力弹性力学问题正则方程的Ｇａｌｅｒｋｉｎ变分方程，证 明了Ｇａｌｅｒｋｉｎ变分方程和目前文献中所用的Ｒｉｔｚ。

Compared with the classical PQ decoupled power flow,the proposed algorithm can reduce number of correction equations and possesses better convergence.

提出了直角坐标功率修正方程的一种变形，推导了相应的ＰＱ解耦算法。

A central problem in the Jacobi-Davidson method is to expand a projection subspace by solving certain correction equation.

Jacobi-Davidson方法的核心之一是求解用以合理扩展投影子空间的线性修正方程组,众多文献均认为该方程是自然有解的。

Acquires the least squares solutions of the matrix equation AXB=E,CXD=F by constructing the normal equation of the matrix equation and applying the generalized singular-value decomposition of coefficient matrices.

借助于矩阵方程AXB=E,CXD=F的正规方程及系数矩阵的广义奇异值分解,得到了此矩阵方程的最小二乘解。

Comparison between Lagrange Equation and Hamilton Canonical Equation in Application;

Lagrange方程与Hamilton正则方程应用方法的比较

Wavelet Finite Element Method of Hamilton Canonical Equation

Hamilton正则方程的小波有限元方法研究

Radiative Transfer Equation--A Canonical Equation in K -Symplectic Space;

辐射迁移方程——一个K-辛空间上的正则方程

Hamiltonian Representation on Nonholonomic System

非完整系统正则方程的Hamilton表述

Modified Tikhonov Regularization Method for the Cauchy Problem of the Laplace Equation

Laplace方程Cauchy问题的修正Tikhonov正则化方法

Research on Finite Difference Solutions for Symmetric Regularized Long-wave Equation;

对称正则长波（SRLW）方程的有限差分方法

The Inverse Problem of the Parabolic Equation;

用正则化方法求抛物型方程的数值解

Tikhonov Regularization Method for the Cauchy Problem of the Laplace Equation

Laplace方程Cauchy问题的Tikhonov正则化方法

A Simulated-linearization Method for Boltzmann Equation and the Regularity of the Solution of Kac Equation;

Boltzmann方程的一种拟线性方法及Kac方程解的正则性

The Regularizing Solution of Nonlinear Abelian IntegralEquation

非线性阿贝耳积分方程的正则化求解

Rugularity and Uniqueness of the Boltzmann Type Equations;

Boltzmann型方程的正则性与唯一性

The Regular Solution of Nonlinear Equation in Banach Space;

Banach空间上非线性方程的正则解

Criterias for Existence of Positive Solutions of a Class of Neutral Difference Equations;

一类中立型差分方程存在正解的判则

Regularity of Solutions to Elliptic Equations (Systems) from Composite Material

复合材料中椭圆方程（组）解的正则性

A Simple Regularization Method for the Cauchy Problem of Helmholtz-type Equations

Helmholtz型方程柯西问题的一种简单正则化

Existence and Uniqueness of Weak Solutions for a Fourth Order Regularized YK Equation

四阶正则化YK方程弱解的存在唯一性

Regularity for very weak solutions to A-harmonic equation

一类非齐次A-调和方程很弱解的正则性

Regularity for degenerate elliptic equations on the Heisenberg group

Heisenberg群上退化椭圆方程弱解的正则性