最后利用经典的精细积分方法求解该方程组。
At last, those differential equations are solved by the classic precision integration method.
在瞬态温度场正问题求解中采用了精细积分方法以提高计算精度。
The precise integral method is used to solve the instantaneous heat transfer equations to improve solution precision.
钟万勰院士提出的偏微分方程的子域精细积分方法是一种半解析方法，方法简单，精度高。
The Precise Integration Method in the time domain developed by Zhong is very useful to solve a kinds of differential equations because it possesses very high efficiency and accuracy.
提出了一种求解一类非齐次线性常微分方程的精细积分方法，通过该方法可以得到逼近计算机精度的结果。
Precise integration method for a kind of non-homogeneous linear ordinary differential equations is presented. This method can give precise numerical results approaching the exact solution.
将小波配置方法和精细积分方法相结合，提出了一种对水土侵蚀模型进行数值分析的新方法——小波精细积分法。
A new numerical method on rill erosion model was proposed by combining the wavelet collocation method with the precise integration method, which is called wavelet precise integration method (WPIM).
在动力分析方法方面，本文将精细积分法应用到短肢剪力墙结构中，提出了纽马克—精细时程法。
Precise time integration method is applied in short-leg shear wall, and a new scheme is put forward which is referred as Newmark-precision time history method.
与原有的精细直接积分法进行了对比，简化方法在保持高精度的同时提高了计算效率。
Compared with the precise immediate integration method, simplified method can maintain the calculation accuracy and improve the calculation efficiency at the same time.
该文通过耦合方法与精细时程积分法的结合，对载荷辨识问题进行时域分析和推导。
In this paper, load identification is studied in the time domain by combining the coupling method and the precise time integration method.
基于齐次扩容精细积分法，提出了求解复杂载荷作用下任意外形弹性拱平面弯曲的一种新方法。
Based on the extended homogeneous capacity precision integration method, a novel method was presented for solving plane bending problems of elastic arches with arbitrary profile.
提出了计算转子系统瞬态响应的精细迭代积分方法。
An iterative precise integration method is proposed to calculate the transient response of rotor-bearing systems.
利用精细积分技术对同伦摄动方法进行了改进，构造了一种求解非线性动力学方程的新的渐近数值方法。
A new asymptotic numerical method for nonlinear dynamic equations was proposed. In this method, the homotopy perturbation method was improved by using the precise integration technique.
文末的数值算例进一步表明，精细积分法对大的时间步长和长时间计算均有效，因此是一种很实用的方法。
Results show that this method has high accuracy even for very large time-step sizes, and possesses excellent long-time numerical calculation behavior.
文中给出一个算例，其数值结果与直接积分法、精细积分法作了比较，文中方法对结构动力响应计算是十分有效的。
A numerical example is given, the results are compared with direct integration method and precision integration method. It is quite effective for computing the structural dynamic response.
本文给出了精细时程积分法求解柔性机械臂动力学方程的方法。
A precise time integration algorithm is developed for solving the dynamic equation in flexible manipulators.
该模型的建立为应用新型齐次扩容精细积分技术，构建一种高效率和高精度的半解析半数值方法奠定了基础。
The model lays a foundation for applying the technologies of homogenized precise integration and building a semi-analytical and semi-numerical method with high efficiency and accuracy.
基于精细积分和状态空间法提出了一种新的浮筏系统动态响应分析方法，并结合侧挂式浮筏系统算例对该方法进行了验算。
This paper proposed a new response analysis method for raft isolation system by the combination of precise integration and state-space.
讨论了精细直接积分法中积分方法选择问题。
The selection of numerical integration method of precise direct integration is discussed in this paper.
通过矩阵变换，利用矩阵对称性、子结构等方法改进精细积分计算效率。
Utilizing the symmetry of matrices and the idea of substructure, the computational precision and efficiency of the PIM are improved.
本文研究了基于精细积分法的结构时域瞬态动力响应及其灵敏度分析的方法并程序实现。
This thesis studies the numerical methods of the analysis for structural transient dynamic responses and their sensitivities.
本文研究了基于精细积分法的结构时域瞬态动力响应及其灵敏度分析的方法并程序实现。
This thesis studies the numerical methods of the analysis for structural transient dynamic responses and their sensitivities.
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