積分差分方程 的英文怎麼說

中文拼音 [jīfēnchāfēnfāngchéng]
積分差分方程 英文
integro-difference equation
  • 積 : Ⅰ動詞（積累） amass; store up; accumulate Ⅱ形容詞（長時間積累下來的） long standing; long pending...
  • 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
  • 差 : 差Ⅰ名詞1 （不相同; 不相合） difference; dissimilarity 2 （差錯） mistake 3 [數學] （差數） differ...
  • 方 : Ⅰ名詞1 （方形; 方體） square 2 [數學] （乘方） involution; power 3 （方向） direction 4 （方面） ...
  • 程 : 名詞1 （規章; 法式） rule; regulation 2 （進度; 程序） order; procedure 3 （路途; 一段路） journe...
  • 積分 : 1. [數學] integral; integrate; integration 2. [體育] （積累的分數） accumulate points
  1. Then the finite element equations are derived with the effective heat capacity method. common time - stepping method and precise time integration ( pti ) method are used to solve the equation

    然後基於等效熱容法推導了伴有相變過程的傳熱控制方程的有限元列式，並且分別研究了用常規的時間差分法和精細積分法求解上述有限元方程。
  2. The difference equations derived will now contain integrals with respect to time because of the convolutions involved.

    由於包含卷積，所推導的差分方程包括對時間的積分。
  3. The integral equations governing the three - dimensional viscous flow inside the turbo - machinery in the rotating coordinate system are presented in this paper, the viscous effects are simulated by the distributed body force described by professor denton j. d. the time - marching method and explicit finite volume difference scheme are employed to solve the flow inside the turbo - machinery

    本文給出了相對旋轉坐標系下葉輪機械內部三維粘性流動的守恆型積分型方程組，利用dentonj . d .教授的粘性體積力法來模擬粘性對葉輪機械內部流動的影響，採用時間推進法和有限體積差分格式對葉輪機械內部的流動進行求解。
  4. The influence of the cloud droplet spectrum character and the spectrum growth and change is considered, which does not use a cut - off value for conversion from cloud water into rain water process. in the continuous coalescence equation, the particles fall velocity difference is not moved out from the integral, but is integrated in the equation as the function of diameter d to avoid the error of using particles average fall velocity. in the new scheme, generation rate of graupel due to the collection of snow by graupel and the collection of cloud ice by graupel are included

    雲中凝結核ccn的數濃度採用超幾何函數表示；雲水向雨水的自動轉換過程採用grabowski （ 1999 ）的公式，考慮了雲滴譜的特徵和發展變化對該過程的影響，而不是採用原方案給定閾值的方法描述該過程；對連續碰並方程不再將粒子落速差作為常量提出積分號外，而是直接作為粒子直徑函數在積分號內求解，這樣處理可以迴避使用粒子群的平均落速帶來的誤差；增加了霰和雪、霰和冰晶的碰並微物理過程。
  5. We can use the mm5 model in definite time, definite area weather forecasting. we conclude that : : the moving route of this necw in its developing progress was direct - south along latitude, the cold air is rough, and just this made the rough vertical velocity ; the necw southern moving and conflicting with the west pacification sub - tropical high makes rough jet steam. the plenty south - west warm and wet air made by the jet stream gave the rainstorm demanded vapor ;. the rough vertical velocity by jet stream is a main reason in this rainstorm ; the mm5 model uses four - direction analysis data as its input, this avoids some errors occurred in observe and transfer, thus made the result more useful

    綜合分析認為： （ 1 ） 、這次冷渦在其發生發展過程中，其移動路徑是沿經圈直線南壓，攜帶的冷空氣勢力較強，形成槽后較強的垂直運動； （ 2 ） 、西太平洋副熱帶高壓偏北位置與東北冷渦南壓形成的急流軸，把源源不斷的西南暖濕氣流輸送到遼西地區，也就是急流軸的左前方位置，為這次暴雨的產生提供了充足的水汽來源； （ 3 ） 、低空急流不但為暴雨輸送水汽，其造成的較強的垂直環流也是產生強降水的一個主要原因； （ 4 ） 、 mm5模式以四維同化資料作為初始場，最大限度地避免了觀測誤差可能造成的積分不穩定，提高了模擬結果的參考價值。
  6. The theoretic calculating method of the maximum and the minimum water level in the differential surge tank has been derived firstly. also the explicit method of calculating surges in the differential surge tank has been deduced firstly by use of thaler series expansion. the calculating method of section of the well and the effective impedance hole in the surge tank has been gived

    根據差動式調壓室的基本微分方程，首次推導出了差動式調壓室涌浪幅值的理論計算公式；並同樣利用泰勒級數展開方法推導出了差動式調壓室水位波動的顯式計算式；導出了差動式調壓室大井面積和有效阻抗孔面積的計算方法。
  7. The terminal states of the vehicle at the taem ( terminal area energy management ) interface box were predicted through the integration of the equation of motion, and to correct the state errors which the angle of attack and the bank angle were corrected in real time

    通過對運動方程積分預測飛行器在能量管理段界面處的終端狀態，實時調整迎角和傾側角方案，以使終端狀態誤差滿足要求。
  8. Compared with octree data structure, the omni - tree data structure could reduce the meshes " total numbers and get better mesh quality. this paper uses cell - centered finite volume spatial discretization and four - stage runge - kutta time - stepping scheme with some convergence acceleration techniques such as local time stepping and enthalpy damping

    在流場計算中，本文採用格心格式的有限體積法用二階中心差分對歐拉方程作空間離散，用四步龍格庫塔方法作顯式時間推進。
  9. In this paper, the upwind scheme and the central scheme are presented for solving 3 - d n - s equations using the cell - center finite volume spatial discretization and four - stage runge - kutta time stepping scheme, with standard convergence acceleration techniques such as local time stepping and implicit residual smoothing

    在n - s方程的數值計算上，採用了中心差分格式和迎風格式，用格心格式的有限體積法進行了空間離散，用四步龍格?庫塔法作顯式時間推進，並採用了當地時間步長和隱式殘差光順等加速收斂措施。
  10. 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。
  11. On the basis of the theory about water potential in soils, a partial differential equation of water movement in unsaturated soils is derived, which chose volumetric water content as the control variable. the numerical solution of the equation using finite difference method is discussed in this paper, and the modality to calculate water movement in slope considering rain infiltration

    基於非飽和土的土水勢理論，本文推導了以體積含水率為因變量的二維非飽和土的水分運動方程，並給出了用有限差分法來求解此偏微分方程的方法，得到了考慮降雨入滲影響的土坡水分運動的計算程式。
  12. In the course of modeling, we present multi - step generalized gradient method and multi - stage curve fitting technique, prove convergence of multi - step generalized gradient method by using differential equation stable theory, analyze the error of multi - stage curve fitting technique by using inner space, creat knowledge base of water network system by using the maximum subordinate principle of and near - select principle of pattern recognition. at last we make the optimal running scheme of water network system based on heuristic search technique of artificial intelligence and global feedback immediate coordination method of large scale system theory

    在建立系統模型的過程中，提出了多步廣義梯度法和多層曲線擬合的建模方法，並用微分方程穩定性理論證明了多步廣度梯度法收斂性，用內積空間的有關知識對多層曲線擬合進行誤差分析;應用模糊數學中的最大隸屬度原則和模糊識別中的擇近原則和人工智慧中狀態空間表示法建立注水系統的知識庫;用人工智慧中的啟發式搜索技術和大系統理論中的具有全局反饋的直接協調法制定注水系統的優化運行方案。
  13. Because of the calculation difficulty when solving the dynamic problems, development of the efficient algorithm for the dynamic differential equations is always an important research and the space - time finite element method can provide a feasible approach to it

    由於求解動力學問題時計算繁瑣且有誤差累積，因此，開發出求解動力學微分方程的有效演算法一直是一個重點的研究方向，而時空有限元法可以為此提供一條可行的途徑。
  14. Based on the unified recursive formula, the four algorithms included in this study are the central difference method, the newrnark ' s method, z - transform method, and duhamel ' s step integral method. the accuracy, the phase and other existent problem are studied in this paper. it is proved in this paper that the recursive parameters b1and b2are relate to the poles of theoretical transfer function

    分析中可以發現，中心差分方法， newmark中點加速度方法、 z變換方法及duhamel逐步積分法在精度范圍內其計算相位是沒有畸變的，中國地震局工程力學研究所頃土學位論文一但是中心差分方法， newmark中點加速度方法隨著采樣間隔及系統自振頻率的增大，系統的固有自振周期被改變，其傳遞函數的共振區域與理論傳遞函數的共振區域會發生分離。
  15. In the 3rd section we introduce how to use mathematical model to study financial problems, whose assets running on mixed jump - diffusion process, first we get the famous non - linear feynman - kac formula by fbsde, then let the solution of the bsde be a investor ' s utility function, and it ' s the so - called recurse utility function. second, we can prove that this utility function is a continue viscosity solution of the variation inequality which we get above, and we get the comparison theory. third we can use the result to financial market to study the optimal consumption and portfolio problem or evaluate the american option

    第三章介紹了利用金融資產價格運行基於復合跳躍? ?擴散過程的數理模型來研究金融經濟問題，通過結合運用正倒向隨機微分方程，推導得到著名的非線性feynman - - kac公式，並且將相應的倒向隨機微分方程的解記為投資者的值函數，這也就是通常所說的效用值函數；接著我們可以證明此效用值函數為某一偏微積分變差不等式的連續粘性解，並且得到了比較原則；這些結果可以應用到金融領域用於消費投資組合的選擇或是美式期權的估值。
  16. 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。
  17. Error eestimates for mixed finite element methods for hyperbolic type integro - differential equation

    雙曲型積分微分方程混合元法的誤差估計
  18. Based on the analysis of previous work in detail, a scheme of a - posteriori error estimation is introduced into the local boundary integral equation method ( lbiem ), which is constructed with the difference between the raw solutions of lbiem and the post - processing solutions with taylor expansion and moving least square approximation ( mlsa )

    通過對無網格演算法在誤差估計方面的工作分析，根據原始解和后處理解的不同，將一種誤差佑計的方案引入到局部邊界積分方程方法中，其中后處理解採用泰勒展開和移動最小二乘近似得到。
  19. Finally the convection - dominated integro - differential equations of parabolic type are considered, the optimal error estimates for the unknown c and the adjoint flux p gained in the previous parts are still hold

    最後將此方法推廣用於求解對流占優的積分微分方程問題，誤差分析表明離散格式對c ， p也具有最優的逼近精度。
  20. The other primary part is that based on the correct water hammer mathematic model ( 3 ), applying character line method, to translate the differential equation group ( 3 ) into character equation group, to count the character equation integral along with character line and at the same time to substitute the integral form for the difference form so as to make use of computer to carry through numerical value calculation of the water hammer pressure

    本論文的另一個主要內容是，在正確的水擊數學模型（ 3 ）的基礎上，應用特徵線法的原理，將微分方程組（ 3 ）轉化成特徵方程組，沿特徵線對特徵方程進行積分，並以其差分方程形式代替積分形式，以便利用計算機進行水擊過程的數值計算。論文對各種邊界條件也做了相應的推導。
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