有限差分逼近 的英文怎麼說

中文拼音 [yǒuxiànchāfēnbījìn]
有限差分逼近 英文
finite difference approximation
  • 有 : 有副詞[書面語] （表示整數之外再加零數）: 30 有 5 thirty-five; 10 有 5年 fifteen years
  • 限 : Ⅰ名詞（指定的范圍; 限度） limit; bounds Ⅱ動詞（指定范圍, 不許超過） set a limit; limit; restrict
  • 差 : 差Ⅰ名詞1 （不相同; 不相合） difference; dissimilarity 2 （差錯） mistake 3 [數學] （差數） differ...
  • 分 : 分Ⅰ名詞1. （成分） component 2. （職責和權利的限度） what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] （料想） judge
  • 逼 : Ⅰ動詞1 （逼迫; 給人以威脅） compel; force; drive; threaten 2 （強迫索取） extort; exert pressure ...
  • 近 : Ⅰ形容詞1 （空間或時間距離短） near; close 2 （接近） approaching; approximately; close to 3 （親...
  • 有限 : limited; restricted; finite; a little; not much
  • 逼近 : 1 （靠近 接近） press on towards; gain on [upon]; approach; crowd on; close in on; draw near 2 [...
  1. Its biquadratic finite element approximation is considered and under the appropriately graded meshes, quasi - optimal order error estimates in the - weighted h ^ 1 - norm, up to a logarithmic factor in the singular perturbation parameter, are proved

    然後，考慮此方程在分層網格剖分上的雙二次有限元逼近，在-加權h ^ 1 -模意義下得到了至多相差一個關于攝動參數對數因子的擬最優階收斂的誤差估計。
  2. In chapter two, we consider full disceret scheme of mixed finite element methods for the following initial - value problems of linear integro - differential equations of parabolic in this chapter, we give the error analysis of this full discrete scheme and get optimal error estimates for the discrete solutions of u and p

    第二章討論下述線性拋物型積分微分方程初邊值問題混合有限元方法的后差全離散格式。給出了該全離散格式的誤差分析，得到了離散解逼近未知函數u以及伴隨速度p的關于空間和時間的最優階誤差估計。
  3. On these bases, the author combined the method of analytic function, finite difference and numerical approximate in the optimizing design of valve train cam profile, and developed a special software with the exclusive purpose in the valve train cam profile design

    在此基礎上，採用解析函數與有限差分法及數值逼近相結合的方法對配氣凸輪型線進行了優化設計，開發出了用於配氣凸輪型線設計的專用軟體。
  4. The transient mathematical equations are addressed for the coupled heat and moisture transfer by taking account of moisture accumulation procedure. an analytical method by means of the transfer function is proposed to predict the transient distributions of temperature and moisture content at different interfaces in walls. a numerical analysis approach based on an efficient finite - difference method is developed to deal with the procedure of coupled heat and moisture transfer in a multilayer wall with nonlinear boundary conditions considered

    建立了考慮濕積累過程的瞬態熱濕耦合模型，在方程中引入了濕積累項；發展了一種傳遞函數解析方法進行墻體內不同剖面處溫度和含濕量的動態預測；首次提出了一種基於有效有限差分法預測非線性邊界條件下多層多孔結構內的傳熱傳濕過程的數值分析方法，求解過程中考慮了瞬態邊界條件，從而避免了通常處理中由於邊界條件設定為常數而給計算帶來的誤差，對于多層結構每一層物性參數的非連續性，則採用了有效的有限差分逼近處理。
  5. Meanwhile, the definition and method of finite difference as well as the theory of numerical approximate were further studied. with the emphasis on their application, the finite difference, the theory of numerical approximate and the optimizing design of valve train were harmoniously integrated

    同時對有限差分的定義、方法及數值逼近理論進行了研究，著重研究了有限差分和數值逼近理論在配氣機構機構優化設計中的應用，使有限差分、數值逼近理論與配氣機構優化設計有機地結合了起來。
  6. In chapter one, we propose a new mixed method called characteristics mixed finite element method for a convection - dominated diffusion problems with small parameter e : we handle the convection part whth backward difference scheme along the characteristics, obtain much smaller time - trunction errors and avoid numerical dispersion on the front of the peak curve of the flow : we use a lowest order mixed finite element method to deal with the diffusion part, so this scheme can approximate the unknow function and its following vector with high accuracy at the same time

    第一章中我們對小參數對流占優擴散問題提出了新的數值方法? ?特徵混合有限元方法，即對方程的對流部分採用沿特徵線的後退差分格式求解，以保證較小的截斷誤差限並避免了在流動的鋒線前沿數值彌散現象的出現；對流動的擴散部分採用最低次混合元方法求解，以保證格式對未知函數及伴隨向量的同時高精度逼近。由於該方法中檢驗函數可取分片常數，此格式在某種意義上具有局部守恆性質。
  7. In this paper, we consider mixed finit element methods for the initial - boundary value problems of two order hyperbolic equations and linear integro - differential equations of parabolic type, obtain the error estimates of the discrete schemes for this two kinds of problems. in chapter one, we consider the expanded mixed finite element methods for the followling 2nd order hyperbolic problems this method expands the standard mixed formulation in the sense that three variable are explixitly treated : the scalar unknwon, its gradient and its flux

    本文討論了二階雙曲方程和線性拋物型積分微分方程方程初邊值問題的混合有限元方法，得到了這兩類問題混合有限元離散格式的誤差估計。第一章討論二階雙曲初邊值問題的擴展混合元方法。該方法能同時逼近未知函數、未知函數的梯度和流體的流量，較好的模擬了帶有混合型邊界條件的二階雙曲問題。
  8. One is, based on answering the above open problem on a finite dimensional euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable - parameter three - step iterative algorithms for generalized set - valued variational inclusion problems by using - resolvent operator of set - valued mapping. two is to consider the convexity, closedness and boundedness of the solution set of general set - valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. three is to discuss directly the existence of solutions by using analytical methods for set - valued mixed quasi - variational - like inequalities and suggest a class of direct variable - parameter three - step iterative algorithms for solving generalized set - valued variational inclusions

    研究分有三個方面：一是藉助于偏序理論在有限維歐氏空間中解決了上述公開問題，在此基礎上利用集值映射的-預解運算元，研究了廣義集值變分包含問題解的存在性、逼近解的全局誤差界、參數唯一解的靈敏性，並提出了一類變參數三步迭代演算法；二是藉助于圖收斂理論研究了一般集值變分包含問題解集的凸性、閉性和有界性以及參數解集的靈敏性；三是用分析的方法直接討論了集值混合擬類變分不等式問題解的存在性並提出了一類求解廣義集值變分包含問題的直接變參數三步迭代演算法。
  9. This feature reflects the physical phenomenon of breaking of waves and development of shock waves. in the fields of fulid dynamics, ( 0. 2. 1 ) is an approximation of small visvosity phenomenon. if viscosity ( or the diffusion term, two derivatives ) are added to ( 0. 2. 1 ), it can be researched in the classical way which say that the solutions become very smooth immediately even for coarse inital data because of the diffusion of viscosity. a natural idea ( method of regularity ) is obtained as follows : solutions of the viscous convection - diffusion pr oblem approachs to the solutions of ( 0. 2. 1 ) when the viscosity goes to zeros. another method is numerical method such as difference methods, finite element method, spectrum method or finite volume method etc. numerical solutions which is constructed from the numerical scheme approximate to the solutions of the hyperbolic con - ervation laws ( 0. 2. 1 ) as the discretation parameter goes to zero. the aim of these two methods is to construct approximate solutions and then to conside the stability of approximate so - lutions ( i, e. the upper bound of approximate solutions in the suitable norms, especally for that independent of the approximate parameters ). using the compactness framework ( such as bv compactness, l1 compactness and compensated compactness etc ) and the fact that the truncation is small, the approximate function consquence approch to a function which is exactly the solutions of ( 0. 2. 1 ) in some sense of definiton

    當考慮粘性后，即在數學上反映為（ 0 . 1 . 1 ）中多了擴散項（二階導數項） ，即使很粗糙的初始數據，解在瞬間內變的很光滑，這由於流體的粘性擴散引起，這種對流-擴散問題可用古典的微分方程來研究。自然的想法就是當粘性趨于零時，帶粘性的對流-擴散問題的解在某意義下趨于無粘性問題（ 0 . 1 . 1 ）的解，這就是正則化方法。另一辦法從離散（數值）角度上研究僅有對流項的守恆律（ 0 . 1 . 1 ） ，如構造它的差分格式，甚至更一般的有限體積格式，有限元及譜方法等，從這些格式構造近似解（常表現為分片多項式）來逼近原守恆律的解。
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