方程式階 的英文怎麼說

中文拼音 [fāngchéngshìjiē]
方程式階 英文
order of an equation
  • 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...
  • 式 : 名詞1 （樣式） type; style 2 （格式） pattern; form 3 （儀式; 典禮） ceremony; ritual 4 （自然科...
  • 階 : 名詞1. （臺階） steps; stairs 2. （等級） rank 3. [醫學] （耳蝸的三個螺旋管的任一個） scala 4. [數學] order 5. [地質學] stage
  • 方程式 : capeta
  1. A one - dimensional oceanic mixed layer model with the m - y level - 2. 5 turbulence closure schemes is employed. the rate of energy loss by breaking waves is estimated by parameterization and incorporated into the model as a source of turbulence kinetic energy ( tke ) by modifying the existing surface boundary condition of tke equation. the velocity field and turbulence energy budget are calculated under different forcing conditions ( the results given below are for a wind speed of 20 m / s. )

    採用一維2 . 5階湍封閉混合層模式，根據參數化方法對波浪破碎導致的能量耗散率進行了估計，通過改變湍動能方程的上邊界條件引入波浪破碎對湍動能生成的影響，計算了不同風應力強迫下的混合層流場結構和湍能量收支（下述給出的結果是取風速為20m s得到的） 。
  2. By making some assumptions, collision frequency were presented. then the the flocculation kinetics model was established through population balance equation. comparison of experimental data and modeling results indicate that there are the same trend between the two. so the model can predict floes number and size during flocculation of yellow river ' s loess particles without using empirical parameters. the tem and sem were used to obsever floes in the study of floe structure. the flocculation was divided as flocculi, floc and floe aggregate. the floes structure model was established by assumption that particles position in floe accords with tetrahedron. the fractal dimension of model and experimental floes was found to be coincidentso the model can reflect the structure of flocs formed in flocculation of yellow river ' s loess particles by macromolecule flocculant at a certain extent

    最後，本文還對絮凝動力學和絮體結構進行了研究，在前人研究的基礎上，針對高分子絮凝黃河泥沙，對絮凝過程作了一些符合試驗條件的假設，建立了顆粒碰撞頻率表達式，應用了顆粒數量平衡方程，從而建立了絮凝過程的動力學生長模型，模型計算結果與試驗數據對比表明，二者趨勢一致，在沒有使用經驗參數的情況下基本上能夠描述黃河泥沙絮凝過程中絮體數量和尺寸分佈的變化過程；對絮體結構的研究中，應用掃描電子顯微鏡和透射電子顯微鏡對絮體進行了觀察，將絮體分為絮粒、絮團和絮網三個不同的生長階段，通過假設顆粒結合位置符西安建築科技大學博士學位論文合正四面體，建立了絮體結構模型，計算得到的模型絮體分形維數基本與試驗中的實際絮體相符，在一定程度上能夠反映高分子絮凝黃河泥沙生成的絮體結構。
  3. Focused on the asymptotic behaviour of mediant for fourth order lagrange ' s mean value theorem and obtained the main results as followed ( the equation is abbreviated )

    摘要對四階拉格朗日中值定理中間點的漸近性質進行了研究，得到的主要結果是（方程式略） 。
  4. A composite 4 - th order adams - bashforth - moulton scheme is used to solve the equations. with this higher - order scheme, the accuracy of numerical computation results is well ensured

    採用四階精度的abm預測-校正差分格式，基本滿足了高階boussinesq方程對數值格式的要求。
  5. The most achievement is that we firstly obtain the analytic accurate solution of the modal fields of the waveguide structure and find some available character : ( 1 ) the different uniaxial crystal materials have the different propagation properties ; ( 2 ) when the optical axis of the crystal is on the plane that is made up of the normal direction of the waveguide plane and the propagation, there are te mode and tm mode in this special waveguide, but the principal mode is different of the character of the uniaxial crystal, the principal mode is the principal mode of te mode for the negative uniaxial crystal, but the one of tm mode for the positive uniaxial crystal ; ( 3 ) when the crystal optical - axis parallel to the waveguide plane, for the positive uniaxial crystal material, the principal mode of the waveguide is a te wave, which can be excited by the light at any frequency ; when the light frequency satisfies a single mode propagation condition, there will be only the principal mode propagating in the waveguide, otherwise some of the higher order modes can be excited, which are neither te modes, nor tm modes, but the hybrid guided modes

    本文就是在此背景下，利用金屬波導和單軸晶體的一些特性，結合麥克斯韋方程組和波導的邊界條件，從三種不同的情況研究了光在對稱平面單軸晶體金屬波導（波導層是單軸晶體，兩個波導界面均為金屬）內的傳輸特性，其主要貢獻為，首次解析地得到了這種波導結構下模式場的精確解，並發現了一些有用的特性： （ 1 ）模式場的性質因單軸晶體的性質不同而異； （ 2 ）當單軸晶體光軸位於波導界面法方向與傳輸方向構成的平面內時，波導中傳輸te波和tm波，只不過其主模因單軸晶體的性質不同而異，當波導層介質為負單軸晶體時，波導主模是te波主模，而波導層介質為正單軸晶體時波導主模是tm波主模。 （ 3 ）當單軸晶體光軸位於波導面內時，對于正單軸晶體，波導的主模是橫電波te _ 0模，任何頻率的光波均可激勵該模式；當光波波長滿足一定條件時，波導內傳輸單模，否則，將激勵起高階模式，高階模即匪te波，也匪tm波，而是兩者耦合而成的混合模。
  6. In this paper, high - order accurate weighted essentially non - oscillatory ( weno ) schemes are investigated and their applications in hyperbolic conservation laws are discussed. based on this, a new weno difference scheme which based on dispersion - relation - preserving relation is developed, and representative test cases with this scheme for computational aeroacoustics ( caa ) problems has been implemented and compared in order to test capability of wave capturing ; in addition, weno schemes generally do not converge at high order in the presence of contact discontinuity of euler equations, so a conservative front tracking technique coupling weno schemes and level set method to simulate the translating density profile is presented here, and numerical simulation with this technique for representative test case has been implemented and results show the desired accuracy

    本文研究了高階精度加權基本無振蕩（ weno ）格式及其在雙曲守恆律方程中的應用，在此基礎上作了兩個方面的工作：一是針對高頻聲波問題構造出一種基於保色散關系（ drp ）的weno有限差分格式，並對計算氣動聲學（ caa ）問題的代表性算例進行了大量數值實驗，比較了該格式捕捉波數的能力；另外，針對高階weno格式在處理euler方程的接觸間斷時精度有所降低的問題，研究了利用界面追蹤技術levelset方法和高階激波捕捉weno格式相結合的一種守恆追蹤方法，並且給出有代表性的密度滑移面問題的算例，得到一致高階精度的數值模擬結果。
  7. 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。
  8. The equations of the mean value functions and the covariance functions are established for dynamical systems whose inputs are fuzzy stochastic processes. an existence and uniqueness theorem of ito fuzzy stochastic differential equations is proved, some explicit representations of solutions and the equations of statistical characteristics are deduced for linear fuzzy stochastic differential equations, and numerical methods to nonlinear fuzzy stochastic differential equations are proposed, the conditions for stability and observability of fuzzy linear systems are derived. the kalman filter algorithms of linear fuzzy stochastic systems are brought forward

    主要成果包括：提出了模糊隨機變量協方差和反向協方差的概念；研究了二階模糊隨機變量的均方收斂性，並在此基礎上得到了均方模糊隨機分析、平穩模糊隨機過程及其譜分解的若干定理；根據均方模糊隨機分析理論，得到了輸入為模糊隨機過程的線性系統的輸出輸入統計特徵關系方程；證明了ito型模糊隨機微分方程解的存在唯一性，並給出了ito型線性模糊隨機微分方程解的表達式，統計特徵方程以及非線性模糊隨機微分方程的數值解法；得到了模糊線性系統的穩定性和可觀性條件、線性模糊隨機系統統計特徵方程和線性模糊隨機系統的kalman濾波演算法；研究了當觀測值是模糊數據時，線性回歸模型的建立。
  9. A normal transform is introduced, and there are enough much grids in the region between the critical layer and the wall, where the variation of the disturbance is the quickest. the finite - difference of governing equations with fourth - order accuracy in the normal direction is utilized in full regions including points close the wall, and is very important for accurately discreting equations. the combination of global and local methods is implemented, and a new iterative formula is derived

    對于曲線坐標系下的拋物化穩定性方程，文中發展了求解的高效數值方法:引進法向變換，使得在臨界層與壁面之間的擾動量變化最快的區域有更多的法向網格點;導出包含邊界鄰域在內的完全四階精度的法向有限差分格式，這對方程精確離散至關重要;採用全局法和局部法相結合的方法及其新的迭代公式，大大加速收斂並得到更精確的特徵值。
  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. In this paper, we develop the high - order accurate essentially non - oscillatory ( eno ) schemes on one and two - dimensional structured meshes in the finite volume formulation, and discuss their applications in hyperbolic conservation laws

    本文構造了一維、二維結構網格中的高階精度基本無振蕩（ eno ）有限體積格式，並且討論了它在雙曲守恆型方程中的應用。
  12. To overcome the disadvantages of pseudo - compressibility algorithm, four - order artificial dissipation term is added to the right of the differential equation, and the recommended formula is offered for the choice of the artificial dissipation coefficient

    為了克服人工可壓縮方法可能帶來的數值振蕩，本文在離散方程的右端顯式添加四階人工耗散項，並就人工耗散系數的選取給出了推薦公式。
  13. Ordinary differential equation, first order differential equations, 2nd order differential equations, power series solution of differential equation, laplace transform, fourier series and transform, matrix, eigen value problem, partial differential equation

    常微分方程式、一階微分方程式、二階微分方程式、微分方程式級數解、拉氏轉換、復利葉級數與轉換、矩陣、本徵值問題、偏微分程式。
  14. On the equation ( the equation is abbreviated ) with initial condition and periodic boundary condition a system of ordinary differential equations to time was built by the four - order difference method, then the precise integration method was used to solve the system

    摘要對于方程（方程式略）的初始值與周期邊值問題，利用四階差分化為關于時間變量的常微分方程組，然後採用精細時程積分法。
  15. Effective dielectric response of ellipsoid composites in which the dielectric function of the grains have the form of ( the equation is abbreviated ) ) embedded in a host medium is investigated in dilute limit based on perturbative expansion method, and general expressions for the effective linear dielectric function and ( - 1 ) - order nonlinear susceptibility of the two - phase system are derived in this paper

    摘要利用微擾展開法討論了任意階弱非線性橢球顆粒復合體系（假定顆粒組分的介電函數隨場變化，表示為（方程式略） ）的有效介電響應，導出了稀釋極限下兩組分橢球顆粒體系的有效線性和有效（ + 1 ）次非線性系數的一般表示式。
  16. The mostly conclusion of this part is as follows, on the conditon of travelling wave, the exact solitary wave solutions to some nonlinear wave equations such as sawada - kotera equation, kaup - kupershmidt equation, the fifth order kdv equation, fisher - kolmogorov equation, on the help of the computer algebraic system ( maple ), are explicitly established by making use of the hyperbolic function method. this part is maken up of three sections

    本部分的主要結論如下，利用雙曲函數展開法，在行波條件下，對sawada - kotera方程， kaup - kupershmidt方程，五階kdv方程， fisher - kolmogorov方程，等幾類非線性波動方程求解，將其孤立波表示為雙曲函數的多項式，從而將非線性波方程的求解問題轉化為非線性代數方程組的求解問題，並藉助于計算機代數系統求解非線性代數方程組，最終獲得了這些非線性波動方程的若干精確孤立波解。
  17. In consideration of computation exactness and cost, the unstructured grid, rng k - e turbulence model, renold - averaged n - s equations and second order upwind scheme were used to solve 3d turbulence flows with and without secondary combustion of a experimental strutjet rbcc in ejecting mode

    在綜合權衡精度和速度的基礎上選取非結構網格技術、 rngk -湍流模型、雷諾平均n ? s方程、二階上風顯式離散格式求解並研究了支板式rbcc引射模態三維燃燒流場。
  18. Beyond the usual method, the one dimensional equation was expressed in the form of ( the equation is abbreviated ), which then was introduced by middle varible ( the equation is abbreviated ), so that the same solution of initial value problem by the characteristic curve method of the first order equations ( the equation is abbreviated ) and ( the equation is abbreviated ) was abtained

    摘要對一維非齊次波動方程的始值問題在傳統的疊加原理、達朗貝爾公式、齊次化原理的方法之外，完全用特徵線方法，先將方程表示為（方程式略）的形式，進而引入中間變量（方程式略） ，得以用一階方程（方程式略）的特徵線方法，推導出維該始植問題的與傳統方法相同的解。
  19. Consider the second - order semi - linear neutral difference equation ( the equation is abbreviated ) ( 1 ) the sufficient conditions are established for oscillation of the solutions of ( 1 )

    摘要考慮二階半線性中立型差分方程（方程式略） （ 1 ）給出了方程（ 1 ）的解的振動性的充分條件。
  20. Some new sufficient conditions for all the solutions of the nonlinear damped the second order difference equations ( 1 ) to be oscillations are given

    摘要本文給出了二階非線性阻尼差分方程（方程式略）一切解均為振動的若干新的充分條件。
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