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间断函数

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In order to meet the required simulation precision and meet the real-time simulation in ballistic simulation calculation,this paper analyzes the selection method of the simulation step,and then introduces variable step integration methods in Runge-Kutta to Adams and educes Adams variable step integral formulas,and then put forwards a method by seeking zero of condition function in discontinuous nonlinear system of the ballistic simulation.

在弹道仿真计算中,为了既达到要求的仿真精度又能满足实时仿真,分析了仿真步长的选择方法,然后在龙格-库塔转阿当姆斯法中引入变步长积分方法,推导了阿当姆斯变步长积分公式,同时对弹道仿真中的间断非线性系统提出条件函数求零的方法来解算弹道。

In this paper,we generalize the intermediate value theorem from continuous to discontinuous .

本文将连续函数的介值定理推广到间断的情况,文中的思想方法在其他领域如数论中也是有用的。

The thought based on the hyperbola function method is extended,and more explicit and exact solutions are successfully derived,including shock wave type solutions with break point and exponential function type solutions .

在此基础上又对双曲函数法的思想进行了推广,从而获得了其更多的显式精确解,包括间断型激波解和指数函数型解。

Based on the fundamental solution of two perfectly bonded elastic halfspaces, the boundary integral equation method is used to reduce the problem to a hypersingular integral equation in which the unknown function is the crack opening displacem...

首先根据双材料空间的弹性力学基本解,使用边界积分方程方法,在有限部积分的意义下导出了以裂纹面位移间断为未知函数的超奇异积分方程,并为其建立了数值法。

In the second chapter and third chapter, for showing the convergence of Kohonen self-organizing algorithm, we consider the simulated annealing with a potential function of which the gradient is discontinuous.

为说明Kohonen自组织算法的收敛性,在第二章,第三章中,我们考虑了具有间断梯度的势函数的模拟退火。

The space between stations is about 3-20 km.The crust and upper mantle structure down to 100 km deep along our profile is obtained from our teleseismic waveform data in terms of the receiver function method.

利用记录的远震P波波形数据和接收函数方法,获得了沿剖面100km深度范围内地壳上地幔S波速度结构以及地壳上地幔一级间断面的形态。

In addition, the calculating formulae of stress intensity factors corresponding to the fundamental function of displacement discontinuities are provided.

另外,还给出了相应于位移间断基本函数概念的应力强度因子的计算表达式。

This paper reviews and summarizes the progress in this field as follows: the mathematical model and the difficulty of the analytical solutions is introduced; discusses the latest progress of the numerical solutions is discussed; the finite difference method, the Godunov method, the Boltzmann method, and the KFVS method of one-dimensional dam-break problem are introduced; the TVD method, the discontinuous finite element method, the finite volume method and characteristic method of two-dimensional dam-break problem are discussed; the applicability, the advantage and the disadvantage of each method are analyzed; and the progress in the numerical calculations of flow of fluid with free surface are presented.

回顾和总结了国内外对溃坝水流演进问题的研究进展:介绍了溃坝水流的数学模型及解析解法存在的困难,进而讨论了数值解法的最新进展;论述了求解溃坝水流一维问题的有限差分法、近似黎曼解的Godunov格式法、Boltzmann法、KFVS法和二维问题的TVD格式法、间断有限元法、有限体积法、特征线法,并分析了各种方法的适用范围和优缺点,及讨论了限制函数的使用;介绍了利用自由水面追踪方法计算溃坝水流的研究进展,并根据目前存在的不足和实际工程的需要,提出了进一步研究的方向和发展趋势。

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