查询词典 difference differential equation

The basic idea of Tikhonov regularization is that linear compact operator equation of the first kind is replaced by the minimization problem of Tikhonov functional, the paper demonstrates the minimization of Tikhonov functional is an well-posed problem. In the end, the paper suggests a new type of iterative algorithm to solve inverse problems of parameter identification for one-dimension parabolic partial differential equation .

本文论证了Tikhonov泛函极小化问题是适定的，即满足西安理工大学硕士学位论文解的存在性、解的唯一性和解连续依赖于数据的稳定性：并且此极小化问题等价丁求解第一类方程的正规方程。

Based on the dynamics fundamental equation, the rigid ships rolling coupled oscillation model was established, then the definite condition of the coupled oscillation equation under the regular transverse wave and first-order ordinary differential equations were presented. The ship vibration rule under the regular transverse wave was analyzed by examples, simultaneously the influence of damping coefficient on the vibration type was discussed.

基于动力学基本方程，首先建立了刚性船舶横摇的耦合振动方程，然后给出了在规则横浪激励下的耦合振动方程的定解条件和一阶常微分方程组，最后通过算例计算了在规则横浪作用下船舶的振动规律，同时研究了阻尼系数等参数对其振动规律的影响情况。

This paper discusses the method of hypothesis testing on equation parameters,and the way of getting new equations to explain the speed, cceleration and jerk through calculating the differential coefficient of cubic equation.

该文还介绍了方程参数显著性检验的方法，并通过对方程进行多次求导，得到新的方程，来描述研究期间土地利用类型面积的变化速度、加速度以及加加速度。

The dynamic model of flexible multibody system is derived by first kind of Lagrange equation and also the constraint equations for velocity are obtained, the final expression of the dynamic equation is hybrid one of algebra and differential.

首先利用第一类Lagrange方程建立了多柔体系统的动力学模型，并建立了速度意义下的约束方程，方程的最终表现形式为微分／代数混合方程组。

To obtain state matrix A of linear differential algebra equation, the equation set of the model, then the eigenvalue of state matrix A and its effection on sensitivity of excition system are calculated by QR method.

对模型方程组进行线性化，得到线性微分-代数方程的状态矩阵A；使用QR法，计算状态矩阵A的特征值及特征值对发电机励磁系统参数灵敏度。

The proposed method is sample and does not need to compute both complex partial differential equation and operator equation of Riccati.

该方法计算简单，无须计算复杂的偏微分Riccati方程或算子Riccati方程。

The boundary value problem for first-order differential equations with a parameter refers to the finite solution condition of equation which includes unknown quantity and its first-order derivative that not only relies on interval value but also relies on the parameter of the equation,which is always settled by fixed point theory or successive approximation method.

含一个参数的一阶微分方程边值问题是指：含有未知量及它的一阶导数的方程的定解条件不仅依赖于在区间端点的取值，而且依赖于方程中的参数。通常它用不动点定理或逐步逼近法来解决。

Reduce the computing complexity of magnetic field integral equation with differential quotient, which makes the computing which combined field integral equation more efficiently.

在AIM算法的实现技术方面作了两个改进：一是采用了新的多极子展开方案，保证了迭代的数值稳定性；二是在差商逼近偏导数的过程中全部采用二阶形式，保证了差商逼近偏导数的精度。

Considering that the temperature gradient through thickness is much higher than that through width and length of plate, in this model, the governing equation of heat transfer was simplified as a one dimensional differential equation, and the series function solution for temperature is established in Lagrangian coordinate setting.

在该模型中，考虑到轧件厚度方向的温度梯度远大于沿宽度和长度方向的温度梯度，因而将热传导方程简化为一维微分方程，基于拉格朗日坐标建立了温度场的级数解法。

The quaternion calculation for spacecraft attitude determination is investigated in this paper,including the transformation between quaternion and the direction cosine matrix,the quaternion differential equation,the selection of time steps for integrating the quaternion equation,and the compensation methods for the noncommutativity error in high dynamic motion.

介绍了四元数计算中的相关问题，包括四元数与方向余弦阵之间的转换、四元数运动方程、求解四元数运动方程时积分步长的选取和高动态应用中非互易误差的补偿，此外还介绍了对偶四元数的发展。

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。