高階方程 的英文怎麼說

中文拼音 [gāojiēfāngchéng]
高階方程 英文
equation of higher order
  • 高 : Ⅰ形容詞1 （從下向上距離大; 離地面遠） tall; high 2 （在一般標準或平均程度之上; 等級在上的） above...
  • 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 : 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...
  • 高階 : high [higher] order高階導數 higher derivative; higher order derivative; derivative of higher orde...
  1. 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。
  2. Forced oscillation for a class of high order functional differential equations

    一類高階泛函微分方程的強迫振動性
  3. Forced oscillation for a class of high order partial functional differential equations

    一類高階偏泛函微分方程的強迫振動性
  4. High - order decay estimates of solutions to the riemann problem of the inviscid burgers equation

    方程黎曼問題光滑近似解的高階衰減估計
  5. 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。
  6. Oscillations of higher order linear odes with impulses

    高階線性脈沖微分方程解的振動性
  7. The motion of plunger of oleo damper excited by colored gaussian noise with exponential correlation time is governed by first order nonlinear differential equation

    摘要油液阻尼器受指數型高斯色噪聲外激勵時，活塞在油腔內的運動可用一階非線性動力學方程描述。
  8. For the regular curves, we find two killing fields for the purpose of integrating the structural equations of the p - elastic curves and express the p - elastica by quadratures in a system of cylindrical coordinates. for the star - like affine curves, we solve the euler - lagrange equation by quadratures and reduced the higher order structure equation to a first order linear system by using killing field and the classification of linear lie algebra sl ( 2, r ), sl ( 3, r ) and sl ( 4, r ). we solve the centroaffine p - elastica completely by quadratures

    對于正則曲線的情形，我們發現了兩個用於求解p -彈性曲線的結構方程的killing向量場並用積分將p -彈性曲線在一個柱面坐標系中表示出來，而對仿射星形曲線的情形，我們用積分方法解出了歐拉-拉格朗日方程，利用killing向量場及線性李代數s1 （ 2 ， r ） 、 s1 （ 3 ， r ）和s1 （ 4 ， r ）的分類將高階結構方程降為一階線性方程，因此我們用積分完全解出了中心仿射p -彈性曲線。
  9. 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。
  10. 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。
  11. ( 4 ) finally, the ginzberg - landau equation is considered. by the ansatz method, the chirped femtosecond solitonlike solution is given, and the stability of the solutions are studied in detail by linear stability analysis with variation method. also the long - distance stability of the ultrashort pulse and the interaction between the solutions are also discussed by numerical method

    （ 4 ）討論描述超短光脈沖傳輸的高階ginzberg - landau方程，給出該方程的啁啾類孤波解，並利用變分法解析地討論啁啾類孤波解的線性穩定性，同時研究這種類孤波解的長距離穩定性和相互作用。
  12. It is demonstrated that the solution for 141 000 order normal equations for a simulated astro - geodetic network ( 47 057 points ) and a space one ( 476 points ) iterates 4 993 times to converge to 1 10 - 18 second, taking 28 min and 47 seconds, on a pii / 233 computer, showing over 40 times more efficiency, as compared with the coefficients unadjusted

    利用模擬的天文大地網（ 47057點）和空間網（ 476點）在pii / 233微機上解算14 . 1萬階方程組共迭代4993次（收斂至1 10 - 18角秒） ，花費機時28分47秒，與未進行系數調整相比，功效提高40多倍。
  13. 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。
  14. 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。
  15. In this paper, we study the oscillation of the higher order differential equa tion with impulses

    本文主要討論了高階脈沖微分方程解的振動性，得到了高階脈沖微分方程解振動的充分條件。
  16. Considering enough the property of the equa - tion, we prove existence of absorbing set of the solution in h ~ ( 1 ) by the method of changeing the higher order nonlinear term as nonnegative guadratic form and prove existence of absorbing set of the solution in h ~ ( 2 ) by the method of linear combining of energy inequality and multiform classical inequality

    我們充分考慮方程的特點，將高階非線性項化為一非負定二次型使得解在h ~ 1中的吸收集的存在性得以證明。通過能量估計的巧妙組合以及多種形式的不等式進行精細的估計以獲得h 「的吸收集的存在性
  17. Existence and uniqueness theorems of solutions for a class of higher - order boundary value problems

    一類高階常微分方程邊值問題的解的存在惟一性
  18. Hyper order of meromorphic solutions of a class of higher order homogeneous linear differential equations

    一類高階線性微分方程解的超級
  19. The existence and uniqueness of positive solution for a class of higher order equations

    一類高階方程正解的存在唯一性
  20. In chapter 2, we study the regularity of solutions of some second order differential equations. in chapter 3, we study the regularity of solutions of higher order non - homogeneous differential equations where coefficients are rational functions or super entire functions. in chapter 4, we study the regularity of solutions of higher order homogeneous differential equations where coefficients are super meromorphic functions

    其中第二章研究了某些二階方程解的正規性；第三章在系數分別為有理函數和超越整函數的情況下研究了高階非齊次方程解的正規性；第四章在系數為超越亞純函數的情況下研究了高階齊次方程解的正規性；第五章則是假設在方程系數為正規亞純函數的條件下得到的解的增長性方面的結果。
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