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Numerical differentiation is that derivative value of a function at a certain point is approximately solved in discrete method.

中文摘要:数值微分就是用离散方法近似地求出函数在某点的导数值,关于数值微分已有许多求解方法,但这些方法都有各自的局限性,并且关于高阶导数近似逼近的方法研究相对较少。

Chapter 5 to text the numerical method put forward carries on the numerical experiment, special two fractional differential equation problem within biologies carries on the test, the number result enunciation method is valid.

第五章对文中所提出的数值方法进行了数值试验,特别就计算生物学中的两个分数阶微分方程问题进行测试,数值结果表明方法是有效的。

Finite difference method is adopted in this model to analyze the temperature distribution and fulgurite resistance of a fuse.

针对所提出的简化模型,用直接差分法进行数值模拟,设计出用直接差分法进行数值计算的通用程序,实现了温度分布和弧后残躯电阻的数值分析。

This paper brief introduce numerical method of algebraic equation,points out their shortcoming of missing multiple root and put forward one new kind of method--multiple derivation numerical method.

本文对通常代数方程的数值计算方法特点进行了简介并给以分析,指出了这些解法无法得出重根数的缺陷,提出了一种新的解决方法———多次求导数值计算法,使得数值计算法更加清晰、明了,且可得出重根数。

Based on the numerical simulation algorithm in this paper, numerical results for temperature field are given and analyzed.

基于我们构造的三维温度场数值模拟算法,给出了变压器运行过程中温度场在空间与时间分布的数值结果,并对所得到的数值结果进行了分析。

In this project, we develop the numerical model of the differential quadrature element analysis of beam problems considering the effects of shear deformations. The results demonstrate this method.

在这个计画中我们开发剪变形梁问题的数值积分表示微分元素分析的数值模式,并做数值计算,证明此种方法的优越性。

Numerical calculations were accomplished by the directly numerical method of the singular integral equations and a large amount of statistical results were obtained. So the issue of influence was systematically solved.

最后利用奇异积分方程的数值解法进行了数值计算,得到了大量的数值结果,从而系统地解决了一般倾斜裂纹对界面的影响分析。

A 550kV SF6 circuit breaker has been taken as an example, the gas blast flow in no-load breaking process has been simulated, the results show that the basic solution of Euler equation set derived is correct, which lays the foundation for developing the Boundary Element Method of numerical solution for the time-dependent compressible flow of fluid.

作为数值模拟实例,文中对550kV SF6断路器空载开断过程中吹弧气体流动规律进行了数值模拟,其结果证明文中导出的基本解是正确的,从而为进一步开发求解非定常可压缩气体流动的边界元数值计算法奠定了基础。

Shule River project area is located in northwest China\'s Gansu province,Hexi Corridor,which is the largest agricultural crop production base of Gansu province and typically arid and semi-arid areas. There are characteristics such as scarce rainfall,the temporal and spatial distribution inequality,strong evaporation,fragile ecological environment,the limited quantity of surface water. Agriculture,the people\'s living and ecological environment are significantly dependent on the groundwater. Based on the collection and processing of regional hydrological and geological data and the groundwater monitoring data,using the numerical simulation,geostatistics theory and multi-objective evolutionary algorithm,this paper studied the monitoring and evaluation of groundwater resources from the three aspects: groundwater numerical simulation and prediction,groundwater spatial variability and distribution and optimization modeling and sloving of groundwater monitoring network. The main work and research lies:(1) Using Yumen-Tashi basin,Anxi-Dunhuang basin and Huahai basin as study area,this paper used modflow model to simulate groundwater flow of three areas.

本文在收集和整理项目区水文地质数据以及地下水监测数据的基础上,基于数值模拟、地统计学理论及多目标进化算法,从地下水数值模拟与预测、地下水空间变异与分布特征分析以及地下水监测网优化建模与求解三个方面展开了对项目区地下水资源监测与评价的研究,主要研究工作如下:(1)以项目区内的玉门-踏实盆地、安西-敦煌盆地和花海盆地为研究区域,在《河西走廊项目中期计划调整报告》规划条件下,基于modflow模型对地下水水流进行数值模拟,计算并生成了三个区域2007-2030年地下水埋深预测数据以及等值图。

The symplectic schemes have the ability to preserve the global symplectic structure of the phase space for a Hamiltonian system. They have substantial benefits in numerical computation for Hamiltonian system, especially in long-term simulations.

辛算法正是保持Hamilton系统内在性质的一种新型数值方法,该算法在长时间的数值计算中,具有常见数值方法无可比拟的计算优势。

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