Firstly , we want to solve the problem that based on the background of some numerical problem . it is the special nondifferentiable optimization problem 本文首先來解決以某些數值計算問題為背景提出的一類比較特殊的非光滑優化問題。
In recent years , nonlinear methods have attracted more and more attention and there have been some successful cases , such as median filter , mathematical morphology , etc . as a preferred way to inverstigate nonlinear numerical problems , the continued fractions method can effectively express the gradually changing data or abrupt data , so it is meaningful to study image processing by means of the continued fractions theory and algorithms 近年來在圖像處理領域,利用非線性方法進行圖像處理取得較好效果的有中值濾波、數學形態學等,非線性方法已引起越來越多研究者的重視。作為研究非線性數值問題的首選方法?連分式方法,不僅能反映數據的漸變性,也能反映數據的突變性。鑒于這些原因,本文將連分式插值和逼近引入到數字圖像處理領域,開展了圖像插值、圖像重建等方面的研究。
An improved finite volume technique and total variation diminish scheme has been presented for solving the numerical problem with complex flow gas and space time processing synchronously , based on analysis of some numerical method for increasing the convergence , precise and strong capture capacity of shock wave 針對高壓sf _ 6斷路器氣流場求解的復雜性和特殊性,在對常用氣流場數值求解方法應用特點分析的基礎上,本文采用改進的有限體積tvd格式進行斷路器氣流場數值求解,提高了解的收斂性、準確性和激波的捕捉能力。
This paper introduces the basic concepts of object - oriented programming to the finite element method for linear static analysis . in the view of ooad ( object - oriented analysis and design ) method , a set of basic classes for the fem system are founded and their relationship is discussed too . all these fem classes are implemented in c + + language because the hybrid language c + + is an object - oriented extension of c . ( this language includes all the feature of c and is well suited to solve numerical problems because of its efficiency . ) 本文在靜態線性有限元系統中引入了面向對象的程序設計方法,介紹了面向對象方法的基本概念及特征,并通過有限元的面向對象分析和設計,確定了一套基本的有限元對象類及有限元的面向對象模型,本文設計的所有類均采用c + +編程語言進行了實現,最終形成了一套fem類庫,它們以動態連接庫的形式存在。
Important missing aspects are : turbulent flow , numerical discretization techniques specially the relevant and difficult topic of numerical treatment of advection and related numerical methods of solution , variable property fluids , boundary layers , stability , etc . rather , it focuses on more primitive and fundamental issues of numerical treatment of advective equation and proper formulation of initial boundary value ( ib vp ) . numerical problems associated with advective dominated transport include spurious oscillation , numerical dispersion , peak clipping , and grid oriention . however , the key of numerical solution of three - dimensional advective problem is searching for a high - precision interpolating function , which can keep the computational stability and low damping 3 、針對三維純對流方程提出了實用的擬協調單元模式,并與線性插值模式和協調單元模式比較后表明,在物理量大梯度變化的情況下,線性插值模式會產生較大的數值阻尼,導致解的失真;協調單元模式具有極高的計算精度和良好的計算穩定性,還可較好地克服數值阻尼,但由于計及物理量的二階導數項,計算工作量大,邊界條件給定尚存在一定的困難;而擬協調單元模式不僅具有協調單元模式計算精度高的優點,還避免了物理量的二階導數項,可大大地減少計算工作量。
Moreover , previous study has also shown that mec has the ability in solving successfully the non - numerical problem , such as tsp , job - shop and dynamic modeling of system , etc . mec has been used in image analysis area , and attained the better results . a preliminary integrated system has already been established for mec Mec還成功地解決了一些非數值優化問題,如tsp 、 job - shop 、系統動態建模等,此外, mec也已被用于圖像分析中,取得了較好的結果,所有這些工作已經為mec建立了一個初步完整的體系。