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数值方法 的英文翻译、例句

数值方法

词组短语
numerical method · numerical approach
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With the development of computer technology and numerical modeling techniques, many numerical methods have been established and applied to this field. Finite element method is one of the most effective.

随着计算机科学和数值计算方法的发展,目前已经有很多数值方法应用于大体积混凝土结构温度应力仿真分析中,其中有限单元法是一种十分有效的数值分析方法。

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。

This thesis is divided into six parts. The first chapter is preface, the current status of research in the inverse problems for parabolic partial differential equations is reported; the second chapter is "regularization methods for numerical differentiation and their applications ", in this chapter we investigate many regularization methods from a viewpoint of regularization theory and algorithm, some applications in the inverse problems for parabolic partial differential equations are given; the third chapter is "spectral regularization methods". Based on Fourier analysis, within the framework of regularization theory, we apply the spectral methods to some ill-posed problems. Many numerical experiments are done in order to show the validity of the methods; the fourth chapter is devoted to wavelet dual least squares method and a revised wavelet method; in the fifth chapter,we combine finite difference method with method of lines and apply it to the backward heat conduction problem in time; in the sixth chapter "identification problems for unknown source ", the essence and the degree of two problems related to source identification are pointed out, at the same time, some numerical methods are reported.

本文分为六个部分,第一章前言简要分析了国内外抛物型偏微分方程反问题的研究现状;第二章数值微分的正则化及其应用从正则化理论和算法的角度出发,考察了许多正则化方法,还给出了数值微分在抛物型偏微分方程反问题的一些应用;第三章谱正则化方法是在Fourier分析的基础上,在一般正则化理论的框架下,给出了这种方法在各种不适定问题中的应用,数值实验表明谱方法是有效的;第四章研究了小波对偶最小二乘方法和改进的小波方法;第五章主要研究了有限差分方法结合线方法在时间反向热传导问题中的应用;第六章是未知源识别问题,主要指出了两类未知源问题的不适定程度和不适定本质,同时报告了一些数值方法

The main results can beexpressed as follows:(1)Based on πtheory, some affected factors about wave forces are given, and therelation between affected factors and wave forces is analysised by experimentalresults.(2) The distribution of wave press at representative time and reflection nature aregiven and their variety charactes are discussed by experimental results.(3)By comparing the wave forces of quarter-circular breakwater and semi-circularbreakwater under the same wave conditions,some approximately wave forcesexpressions of quarter-circular breakwater are given.(4)Based on VOF method to trace water free surface,solve numerical value ofRANS equation,and get the distributions of flow field and wave press ofquarter-circular breakwater at the same time during one period,the mechanism ofwave force is also discussed elementarily.(5) Based on the result that RANS equation of numerical simulation agree wellwith experimental results,a new approach to study hydraulic natures of quarter-circular breakwater is provided.

其主要结论如下:一、通过π定理,确定影响波浪力的无因次参变量,根据试验结果对其影响因素进行分析;二、基于模型试验,给出典型时刻圆弧面防波堤的同步波压分布和反射特性,讨论它们的变化特点;三、通过相同条件下圆弧面防波堤与半圆型防波堤两种堤型试验波浪力的比较,给出了圆弧面防波堤波浪力的近似方法;四、利用VOF法追踪自由水面,数值求解RANS方程,得到圆弧堤堤体周围的流场和压力场,初步分析了速度涡流与压力场的相互影响;五、对比数值分析与试验结果,探讨数值方法研究圆弧面防波堤水力特性的可行性,提供新的研究途径

Thus the distribution of surface field and near field can be obtained..Numerical results for sphere and prolate spheroid are in excellent agreement with thos...

本文给出的球体及长椭球体的数值计算结果表明,这种方法可获得与本征函数级数解相当吻合的结果,优于OSRC方法的结果,说明这种方法可能成为一种对现有解析或数值方法的有效替代方法。

In the third chapter, the contractilities and asymptotical stabilities of neutral delay integro-differential equations are concerned. The extended Runge-Kutta methods, with the compound quadrature formula and the Pouzet quadrature formula, are numerically stable under suitable conditions. The numerical experiments prove this result.

第三章,研究了中立型延迟积分微分方程,其理论解的收缩性和渐近稳定性,利用复合求积公式与Pouzet求积公式扩展Runge-Kutta方法,并获得了数值方法的稳定性条件,随后的数值试验结果进一步证明了方法是数值稳定的。

The advantages and limitations of every kind of methods for calculating the failure probability is reviewed. The frist order reliability method, the second order reliability method and many kinds of boundary method have achieved remarkable success and formed nature fields of reliability. However, the precision of these methods decrease as the increase of complexity of problem. The numrical methods are versatile, except numerical intergration is only adaptable to special problems which have small number variables and regular intergral domain. Particularly, the advanced variance reduction techniques own the following character: high precision and a small amount computation. But some questions remain to study in the future because only an initial work about these techniqes is developed.

全面评述了计算失效概率各种方法的优点和局限性,其中经典的解析法包括一次可靠性方法、二次可靠性方法、一阶边界法、Vanmarcke上边界、PENT上边界和Ditlevsen二阶窄边界法,这些方法对于多设计点、变量较多且相关、密度函数不是正态以及极限状态方程较复杂的情况,其计算精度较差;而已有的数值方法却是具有较好的通用性,其中除数值积分法只对变量较少、积分域较规则的特殊问题适用外,各种数值模拟方法均具有较广的适应性,特别是各种改进的方差减小技术,精度高、计算量小,但由于其处在研究的初级阶段,还有许多问题有待于解决。

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。

In 1997,Their infinite-dimensional dissipativity wasfurther studied by Hill,who also studied the finite-dimensional and infinite-dimensionaldissipativity of one-leg methods.However,up to now,no papers have been concernedwith the dissipativity of delay dynamical systems and their numerical solutions.Thethird part of the thesis is devoted to discussing it.

当用数值方法求解这些系统时,自然希望数值方法能保持系统的该重要特性。1994年,Humphries和Stuart首次研究了Runge-Kutta方法对有限维系统的散逸性。1997年Hill进一步研究了Runge-Kutta方法的无穷维散逸性和单支方法的有限维和无穷维散逸性。

Numerical method of maro/micro coupling and coupling of calculation of phase diagrams in simulation on microsegregation were discussed in this paper.

论述了在显微偏析数值模拟研究中宏/微观模型的耦合数值方法和显微偏析模型与相图计算耦合的数值方法

更多网络解释与数值方法相关的网络解释 [注:此内容来源于网络,仅供参考]

numerical algorithm:数值算法

因为研究的是数学问题,所用方法是数学方法,因此也称之为数值数学(numerical mathematics),数值分析是总称,对一个数学问题通过数值运算得到数值解答的方法,称为数值方法(numerical method),如果这数值方法可以在计算机上实现,就称为数值算法(numerical algorithm).

numerical analysis method:数值分析

数值方法:numerical analysis method | 数值分析:numerical analysis method | 数值方法:numerical method

numerical analysis method:数值方法

数字势场:numerical potential method | 数值方法:numerical analysis method | 数值分析:numerical analysis method

Numerical Calculation in ElectromagneticFields:电磁场中的数值计算

电磁场中的数值方法 Numerical Methods in ElectromagneticFields | 电磁场中的数值计算 Numerical Calculation in ElectromagneticFields | 电磁学 Electromagnetics

numerical keyboard:数值小键盘

numerical integration 数值积分 | numerical keyboard 数值小键盘 | numerical method 数值方法

numerical mathematics:数值数学

因为研究的是数学问题,所用方法是数学方法,因此也称之为数值数学(numerical mathematics),数值分析是总称,对一个数学问题通过数值运算得到数值解答的方法,称为数值方法(numerical method),如果这数值方法可以在计算机上实现,

numerical method:数值方法

因为研究的是数学问题,所用方法是数学方法,因此也称之为数值数学(numerical mathematics),数值分析是总称,对一个数学问题通过数值运算得到数值解答的方法,称为数值方法(numerical method),如果这数值方法可以在计算机上实现,

numerical method analysis:数值法分析

numerical method 数值法,数值方法,数值计算法 | numerical method analysis 数值法分析 | numerical methods of integration 数值积分法

numerically equivalence:数值等价

数值代数|numerical algebra | 数值等价|numerically equivalence | 数值方法|numerical method

Numberical Methods in Potential Theory:势理论的数值方法

13 Electromagnetic Wave Propagation Problems Related to Geophysics 与地球物理相关的静电波传播问题 | 14 Green's Function 格林函数 | 15 Numberical Methods in Potential Theory 势理论的数值方法