矩阵微分方程经常出现在一系列物理模型和工程模型中。
Matrix differential equations appear frequently in a wide variety of models in physics and engineering.
第三章讨论的是基于矩阵样条函数的二阶矩阵微分方程数值解。
Chapter 3: Introduce the numerical solution of the second order matrix differential using matrix spline function.
本文讨论的是矩阵样条函数在矩阵微分方程数值解中的一些应用。
This article discusses some applications of the matrix differential equations used by matrix spline function.
为此给出了解四元数矩阵微分方程的一个强有力的算式，并给出了详细的数学推导和证明。
The mathematical deduction and confirmation of the algorithm are introduced in the paper, which is a powerfully effective one for solving the quaternion matrix differential equation.
最后通过与精确解之间的数值误差和误差图像曲线的比较，验证了所提方法在矩阵微分方程数值解应用中的可行性和有效性。
Finally through a comparison of numerical error and error images, proves that the feasibility and effectiveness of the methods for the numerical solution of the matrix difference equations.
并对在该模型下建立的动力矩阵用动力凝聚法进行简化，推导了相应的振动微分方程。
Through dynamic force condensing, the dynamic matrix of mega-frame is simplified, and corresponding oscillatory differential equation is obtained.
从理论分析到微分方程的建立做了详细的推导，并写出了刚度矩阵、阻尼矩阵和质量矩阵。
It is detailed derived from theory analysis to differential equation, and its damping matrix, rigidity matrix and quality matrix are given.
为建立机车各部件的垂向动力学微分方程，计算各悬挂力的输出响应，建立了系统质量、阻尼和刚度的增广矩阵。
Augmented mass, damping, stiffness matrix of system was set up to derive vertical dynamic differential equations for locomotive components and obtain output responses of suspensions.
本文利用微分方程单位解矩阵估计的相关方法，得到了确定含有非线性电阻的动态电路唯一稳态的条件。
Based on the estimation of the unit solution matrixes of differential equations, the unique steady state of the dynamic circuits with nonlinear resistors is studied by matrix measure.
与更新精细积分法相比，在实现动力微分方程降阶后，矩阵尺度和方程个数减少一半；
When the order of dynamic differential equation is reduced, the size of matrices and equations of the proposed method are only half of that of the RPTSIM.
根据变截面框筒结构的截面沿高度为阶形变化的特点，以每个相同截面的层作为一个计算单元，每个单元由微分方程组导出其单元矩阵、截面矩阵和传递矩阵。
Every storey with a same section is taken as a calculation element. The element matrix, section matrix and transfer matrix of every element are derived by the differential equations.
运用基解矩阵和摄动方法，给出了两类微分方程的通解表达式。
By using fundamental solution matrix and method of perturbation, we give the expression of general solutions for two classes of differential equations.
第一节介绍了三次矩阵样条函数方法和四次矩阵样条函数方法逼近一阶矩阵线性微分方程的数值解。
Section I describes the numerical solution of first order matrix linear differential equation using the cubic matrix spline function and quartic matrix spline function.
计算积分的方法、复数方法、无线级数、奇殊函数、微分方程、向量及矩阵、群论。
Methods in evaluating integrals, some complex variable methods, infinite series, special function, ordinary differential equations, vector and materials, groups and group representations.
以该机器人的动能作为泛函数，则其惯性矩阵M决定了泛函极值微分方程组的表达式。
Regard this kinetic energy as fun-function, then its inertia matrix M determines the differential equation.
使用了自动生成参数矩阵及连接矩阵的技术，并采用梯形法求解微分方程，可对一般性的输入信号进行迅速、准确的仿真输出。
The paper also describes the technique of forming parameter matrix and linking matrix automatically and solving the differential equations of all kinds of signals.
第二节介绍用三次矩阵样条函数方法逼近一阶矩阵非线性微分方程的数值解。
Section II describes the numerical solution of first-order matrix differential non-linear equation using the cubic matrix spline function.
最后我们给出了M -矩阵在微分方程上的一个具体的应用。
Finally we give an application of the M-matrix in differential equations.
最后我们给出了M -矩阵在微分方程上的一个具体的应用。
Finally we give an application of the M-matrix in differential equations.
应用推荐