asymptotic expansion 中文意思是什麼

asymptotic expansion 解釋
漸進展開
  • asymptotic : 漸近的
  • expansion : n 1 張開，伸展。2 擴大；擴建；展開；發展。3 廣袤，遼闊。4 擴張物，擴大部分。5 （講題等的）詳述，...
  1. By introducing proper stretchy variable and constructing boundary layer function, it concludes n - order approximate solution, and using theory of differential inequality, uniformly validity of asymptotic expansion is proved

    通過引進適當的伸長變量，構造邊界層函數，得到了解的n階近似值，並利用微分不等式理論證明了解的漸近展開式的一致有效性。
  2. By using the asymptotic analysis method and the diagonalization technique, considers the singular perturbation of boundary value problem for system of third order nonlinear integro - differential equation. under appropriate assumptions, the existence of the solution of perturbation problem has been proved and a asymptotic expansion of the solution and the estimation of the corresponding remainder term are geven as well

    研究三階非線性積分微分方程組邊值問題的奇攝動.在適當的條件下，利用漸近分析方法和對角化技巧，證得解的存在性並給出解的漸近展開式及其餘項估計
  3. Reagarding the inertia force of rotor as the force acting on the shaft, the effect of thermal expansion upon the natural transversal vibration frequencies of rotor system is studied by a new nonlinear asymptotic method

    摘要把轉子的慣性力看成作用在軸上的外力，採用新的非線性漸近法研究熱膨脹對轉子系統固有橫振頻率的影響。
  4. Laplace inverse transformation and asymptotic expansion for n - times integrated c - semigroups

    逆變換及漸近展開
  5. A class of nonlinear singularly perturbed elliptical problems with boundary perturbation are considered. the uniform valid of the constructed asymptotic expansion is proved

    摘要研究了一類具有邊界攝動的非線性奇攝動橢圓型問題。並證明了邊值問題解的漸近展開的一致有效性。
  6. Asymptotic expansion solution

    漸近級數解法
  7. The integrands in the dispersion equation are not integrable in general, so we used the asymptotic expansion solution to analyze the behavior of the dispersion relation at the singularity and mapped the dispersion relation curves approximately the system composed of collisionless particles which obey maxwellian distribution or all kinds of degenerate distribution, even in their mixture system, their dispersion relation are analogous

    一般來說，色散方程中的被積函數都是難以求積的，本文是用函數逼近法分析色散方程在奇點處的行為，並大致劃出色散關系曲線。由無碰撞粒子組成的系統，不管初始分佈是maxwell分佈還是各種簡並分佈，甚至是這些分佈的混合體，色散關系都是相似的。
  8. In this paper, we clearly and strictly prove the asymptotic formulas for the eigenvalues and the expansion theorems

    本文用留數方法清晰而嚴格的證明了特徵值的漸進估計公式和特徵展開定理。
  9. By resorting to the residue method, the asymptotic formulas for the eigenvalues and the expansion theorems of dirac eigenvalue problems are proved under the self - adjoint and non - self - adjoint boundary conditions

    本文用留數方法證明了自伴和非自伴的dirac運算元的特徵值估計和特徵展開定理。
  10. Using the matching condition, a class of nonlinear singularly perturbed problems for two boundary layers are discussed. asymptotic expansion of solution for boundary value problem are obtain

    摘要利用匹配條件，討論了一類三階非線性奇攝動問題，得出了奇攝動邊值問題的漸近展開式。
  11. Firstly, the voronovskaja type formula of asymptotic expansion of this kind of operators is given. then the approximation of the bounded variation functions by the kinds of operators is discussed

    第一節給出該運算元的voronovskaja型漸近展開公式；第二節討論該運算元對有界變差函數的逼近。
  12. Under appropriate assumptions, the existence of solution is proved by means of the theory of differential inequalities and the uniformly valid asymptotic expansion for arbitrary nthorder is obtained

    在適當的條件下，利用微分不等式理論證明?解的存在性，得到?解的任意階近似的一致有效漸近展開式。
  13. From 1920s up to now, various techniques and methods for wave field decomposition, propagation and migration / imaging have been well developed, such as the kirchhoff asymptotic method, frequency - wavenumber domain phase - shift and phase - shift - plus - interpolation methods, and the one - way wave equation based phase - screen and generalized screen methods, etc. wave field extrapolation in these methods is implemented based on the expansion of the wave field by sets of basic functions like spatial fourier harmonies, modes, and green ' s functions

    自上個世紀二十年代至今，波場分解、傳播與偏移成像技術經歷了將近一個世紀的發展，形成了多種不同的方法，如kirchhoff波動方程高頻近似解方法，頻率-波數域的相移（ phase - shift ）方法和相移-內插（ pspi ）方法，以及在混合域中基於單向波動方程的相位屏、廣義屏方法等。
  14. It was suggested to employ asymptotic expansion - based homogenization method to establish the equivalent homogenized model of oblique joint rock, macroscopic equivalent constitutive parameters of the model were predicted and compared with those given by other equivalent models

    摘要將斜交節理巖體作為一種廣義復合材料，選取恰當的代表元，採用均勻化技術，建立復合等效本構關系，可預測斜交節理巖體的宏觀力學性能。
  15. Different from the scattering theory used in the derivation of conventional generalized screen propagator, in this paper, a high order formula of generalized screen propagator for one - way wave equation is proposed by using the asymptotic expansion of single - square - root operator

    摘要不同於常規廣義屏傳播運算元的推導中使用散射理論，本文利用單平方根運算元的漸近展開，推導出了單程波方程廣義屏傳播運算元的高階表達式。
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