精確解法 的英文怎麼說

中文拼音 [jīngquèjiěfǎ]
精確解法 英文
rigorous solution
  • 精 : Ⅰ形容詞1 （經過提煉或挑選的） refined; picked; choice 2 （完美;最好） perfect; excellent 3 （細）...
  • 確 : 形容詞1. （符合事實; 真實） true; reliable; authentic 2. （堅固; 堅定） firm
  • 解 : 解動詞（解送） send under guard
  • 法 : Ⅰ名詞1 （由國家制定或認可的行為規則的總稱） law 2 （方法; 方式） way; method; mode; means 3 （標...
  • 精確 : accurate; exact; precise
  • 解法 : method of solving; solving process; [數學] solution
  1. 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。
  2. The elastic foundation model is considered as two - parameter elastic foundation model and its effect to moderate - thick plates are taken into account by a set of governing differential equations. united with hu hai - chang ’ s function, least squares collocation weighted residual method which uses b - spline function as trial function is put forward for solving the bending problems. compare with the results of finite element method of lines, spline finite strip method, accurate solution of series etc. it is proved that the method in this article has adequate accuracy and practical feasibility

    本文採用瑞斯納中厚板理論求解彈性地基板，建立雙參數地基與中厚板相互作用的控制微分方程，結合胡海昌的解耦函數，運用雙五次b樣條函數作為試函數的離散型最小二乘加權殘值法分析了雙參數地基上的中厚板的彎曲問題，並將結果與有限元線法、有限條法、級數精確解等進行比較，證明本文方法具有足夠的精確性與實際的可行性。
  3. Firstly we deduce hyperbolic function transformation and then apply to a class of reaction diffusion equation and brusselator reaction diffusion model which has physics, chemistry and biology significance. thus we obtain many new exact and explicit solutions ( including solitary wave soluiton, peoiodic wave solution and rational functions solutions ) to above equations

    推導出了雙曲函數變換，利用此方法探討了一類反應擴散方程， brusselator反應擴散方程這些具有物理、化學、生物意義的方程的精確解（包括奇性孤波解，周期解和有理函數解） 。
  4. So a conclusion can be got that the annealing in n2 raises the la2o2, stability. 3. the exact solution and wkb approximation are compared, the exact solution agrees with the wkb approximation in calculating the mono - layer sio2 tunneling current, but the wkb approximation is inappropriate for the dual layer oxide - lanthanum structure, while the exact algorithm can give a exact result

    比較了wkb和精確解法計算柵介質隧穿電流的方法，精確解法在解決單sio _ 2層和wkb準經典近似有相同的結果，但是wkb不適合計算la _ 2o _ 3 / sio _ 2雙層柵介層的隧穿電流，而精確解法能精確地計算雙層柵介質隧穿電流。
  5. In chapter 7, we discuss exact solutions of bk, dlw, kupershmidt equations by using expension riccati method which yan and zhang developed

    第七章利用閆博士提出的兩種擴展的riccati方法討論了bk ， dlw ， kupershmidt等方程的精確解。
  6. In section 2. 2, by a priori estimates and fourier spectral method, we prove the existence and uniqueness of the global smooth solution for the periodic initial value problem and obtain the large time error estimate between spectral approximate solution and the exact solution. in sections 2. 3 and 2. 4, by a priori estimates and galerkin method, we prove the existence of the global smooth solution and global attrac - tors for the initial - boundary value problem. chapter 3, consider the initial - boundary value problem of the multidimen - sional non - homogeneous gbbm equations

    第二章，考慮一類一維非齊次bbm方程，在第二節中利用fourier譜方法和先驗估計證明了具有周期初值問題的整體光滑解的存在性和唯一性，給出了fourier譜近似解和精確解的長時間誤差估計；在第三、四節中討論了初邊值問題，利用與時間t無關的一致先驗估計，證明了整體光滑解和整體吸引子的存在性。
  7. For obtaining exact solution for the impulse response or step response, the preferred method is to solve the original differential equation on a digital or analog computer.

    要獲得脈沖反應或階躍反應的精確解，最好的辦法是用數字或模擬計算機求解原始微分方程。
  8. New approach for solving nonlinear evolution equations

    求非線性演化方程精確解的新方法
  9. Essential to their utility is the requirement that the evolution of the basic functions through the propagation environment constitutes a simplified problem with an exact or approximate closed form solution to the original wave equation. the evolution of a spatial fourier harmonic through a homogeneous medium is governed by a reduced wave equation, obtained by applying the fourier transform to the helmholtz equation, with a simple and well - known solution - the plane wave

    這些方法均採用一組具有全局特性的基本函數對波場進行分解，如占據整個空間的富氏調諧函數或充滿各個方向的dirac函數（點源） ，並通過求解基本函數滿足波動方程的精確解或近似解來達到波場外推的目的。
  10. Second, on the basis of a lot of present results, the author introduced a new method of searching the most possible sliding surface

    解析法克服了這一不足，可獲得精確解。 2 、提出了一種搜索潛在滑動面的演算法。
  11. Applied seismic forward modeling part : accurate interpretation of the donghe sandstone pinchout by post - stack seismic forward modeling

    用疊后地震正演模擬方法精確解釋東河砂巖尖滅點
  12. If it is not good enough, optimal control module based on principle component analysis and clustering search will function for optimization. this algorithm makes no request for accurate analytical model and maintains search efficiency and self - adjusting performance by an optimal parameter set derived from process data, which is proved to be effective. by practical running of dcs, a prominent tracing performance is gained and variation of parameters is limited in a small range, which enhance stability and production benefit of sintering process obviously

    燒結過程是一個影響因素復雜、干擾嚴重、具有不確定性的工業過程，傳統的基於對象精確解析模型的優化策略難以奏效，因此在控制參數優化模塊中提出了一種基於主元分析和聚類搜索的優化匹配演算法，該演算法不要求對象的精確模型，其搜索效率和自校正性能依賴于從生產過程歷史數據中抽取的優化參數樣本庫，充分利用了燒結生產過程積累的生產數據所包含的信息，取得了不錯的效果。
  13. ( 5 ) discuss some mathematical models of the pollutant transport problems in some local river flow fields. by integral transform method, the paper establishes the usual finite difference approximation scheme to solve the numerical solutions and gives examples for the computation of the approximating solutions, moreover, discusses one - dimensional characteristic finite difference method for a convection - diffusion equation under usual conditions

    （ 5 ）針對水域中污染物輸移問題的數學模型，通過積分變換法，得到了簡化模型在理想化條件下的近似精確解，同時給出數值算例，並且對非理想化條件下模型的特徵差分方法進行了討論。
  14. Then, the minimum - time trajectory planning ( mttp ) for single manipulator is investigated. mttp with dynamic model constrains is presented in detail. then a algorithm of dynamic searching time - optimal trajectory based on phase - plane techniques is proposed and simulated

    其次，研究了沿指定路徑單臂最優時間軌跡規劃，先詳細介紹考慮動力學模型的最小時間軌跡精確解法，然後提出了一種基於相平面動態搜索時間近似最優軌跡的方法，並將該演算法進行了模擬實驗。
  15. On the other hand the research about dry friction system response calculation method is limited in passive control system. in this article, the precise solution to the linear quadratic optimal control system with load is analyzed firstly, and then a gradually deduced response solution method of lq control dry friction system is brought forward

    另外人們對干摩擦系統響應計算方法的研究大都局限於不受外載的控制系統，本文在研究外載作用下lq控制系統riccati方程精確解法的基礎上，也提出了干摩擦lq控制系統響應計算的遞推求解方法。
  16. This method is proved to be an accurate solution of random vibration equation, in which all cross - correlation items, either between earthquake inputs or between participant modes are involved naturally. compared to conventional method, the computational efficiency of the developed method is much higher

    此法計算結果自動包含了振型間及各輸入分量間的相關項，理論上是隨機振動方程的精確解法，且與傳統方法相比可大大減少計算量，非常適合分析大型網殼這種自振頻率密集結構的隨機地震響應。
  17. With the aid of computer algebra system maple, the nonlinear algebra equations corresponding to the nonlinear coupled scalar field equations can be successfully solved this way, and eventually many exact solutions to it can be obtained

    用這種辦法在計算機代數系統maple上成功地求解了非線性耦合標量場方程組所對應的非線性代數方程組，最終獲得了耦合標量場方程組的眾多精確解。
  18. By using the trial function method and integral method, we construct some new exact solutions for a class of shallow water equation

    摘要利用試探函數法和直接積分法構造了淺水波方程的新的精確解。
  19. Based on the exact solution of the static nonlinear bending problem which is given in reference [ 2 ], the characteristic relation between the natural frequency and the static load is gained by means of the modified iteration method

    靜平衡問題採用文獻[ 2 ]給出的精確解，在此基礎上用修正迭代法求解，得到了其固有頻率載荷特徵關系。
  20. We took the ( 3 + l ) - dimensional nnv equation as an example, reduced it by using the travelling wave method. the translation relation between the nnv equation and one - dimensional kdv equation and that between the nnv equation and the one - dimensional mkdv equation were found

    以（ 3 + 1 ）維nnv方程為例，採用行波法約化方程，找到了兩種變換關系，把對該方程的求解分別轉化為求解一維kdv方程和mkdv方程，從而得到其若干精確解。
分享友人
分享到 Line

分享到臉書