Matrix differential equations appear frequently in a wide variety of models in physics and engineering.
矩阵微分方程经常出现在一系列物理模型和工程模型中。
This article discusses some applications of the matrix differential equations used by 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。
Chapter 3: Introduce the numerical solution of the second order matrix differential using matrix spline function.
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。
The Hamiltonian of the system is the Driac operator which as a matrix differential operator is not semibounded from below.
系统的哈密顿函数是作为矩阵微分算子的狄拉克算子，它不是半有界的。
Section II describes the numerical solution of first-order matrix differential non-linear equation using the cubic matrix spline function.
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。
It has been pointed out that the thermodynamic system analysis has gone through phases such as algebraic, matrix, and matrix differential calculations etc.
热力系统分析分别经历了代数运算、矩阵计算、矩阵微分等阶段。
A transfer matrix differential equation is derived from the three-dimensional equilibrium equations and constitutive equations of a homogeneous, isotropic linear elastic body.
从三维弹性力学最基本的平衡方程和本构关系出发，推导出状态传递微分方程。
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.
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。
A state transfer matrix differential equation was derived from the three-dimensional equilibrium equations and constitutive equations of a homogeneous, isotropic linear elastic body.
本文从三维弹性力学最基本的平衡方程和本构关系出发，推导出状态传递微分方程。
A new form of dual vectors and a new dual differential matrix is presented.
提出了新的对偶向量形式和新的对偶微分矩阵。
The results show that differential game can be transferred to the matrix form of the game, and players' equilibrium strategies can be solved simply through system dynamics simulation.
结果表明，通过系统动力学模拟可将微分博弈转化为博弈的矩阵形式，进而方便地求出局中人均衡策略。
Through dynamic force condensing, the dynamic matrix of mega-frame is simplified, and corresponding oscillatory differential equation is obtained.
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。
New method of parameter estimation for time varying non linear distributed systems is proposed in term of orthogonality of orthogonal polynomial and differential operation matrix.
利用正交多项式序列的正交性及微分算子矩阵，论述了时变非线性分布参数系统参数估计的正交多项式法。
Therefore, the differential equations 'coefficient matrix of the free vibration of the spatial rigid body is automatically formed, and free vibration frequency and its type can also be found out.
最后自动组成空间刚体自由振动微分方程的系数阵，并计算出刚体的自振频率和振型。
This method is available for solving large matrix equations with (Finite Element method) or Finite Differential Element method.
该方法克服了有限元或有限差分法需求解大型矩阵方程的困难，计算简单、结果可靠。
It is detailed derived from theory analysis to differential equation, and its damping matrix, rigidity matrix and quality matrix are given.
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。
Stated in matrix form, the module shuns the complex direct differential of mechanical output expression, and resolves the relativity of mechanical output parameter error successfully.
整个模型以矩阵形式表达，避开了对机构输出表达式直接微分时复杂的数学运算，成功地解决了机构输出参数误差的相关性问题。
Using the cosine transform matrix the Cartesian tensors, differential operators and related equations can be readily transformed into corresponding expressions in orthogonal curvilinear coordinates.
利用这个变换矩阵可以方便地将笛卡尔坐标的张量表达式、微分算子及有关公式变换成正交曲线坐标的相应公式。
The inverse Jacobi matrix of the 6-sps parallel manipulator is obtained from differential equations of the reverse displacement analysis.
通过对6- SPS型并联机器人位置输入输出方程微分，获得机器人逆雅可比矩阵。
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.
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。
The upper bound of the differential probability is developed for the completely nonsingular matrix based substitution permutation network.
给出了基于全非奇异矩阵的代替置换网络的差分概率上界。
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.
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。
The SWOT analysis model and large strategy matrix analysis method are used to analyze the competition strategy options the company should adopt, which is differential expansion strategy.
随后，本文综合运用SWOT分析法和波士顿矩阵分析法，提出了企业备选竞争战略，即差异化的市场开发、市场渗透战略。
By using fundamental solution matrix and method of perturbation, we give the expression of general solutions for two classes of 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。
In a new systematic methodology for theory of elasticity a new dual differential matrix is presented by the dual vectors over again sorted and a new orthogonality relationship is discover.
在弹性力学求解新体系中，将对偶向量进行重新排序后，提出了一种新的对偶微分矩阵，对于有一个方向正交的各向异性材料的三维弹性力学问题发现了一种新的正交关系。
The paper also describes the technique of forming parameter matrix and linking matrix automatically and solving the differential equations of all kinds of signals.
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。
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.
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。
Section I describes the numerical solution of first order matrix linear differential equation using the cubic matrix spline function and quartic matrix spline function.
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.
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。
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