解的延拓 的英文怎麼說

中文拼音 [jiědeyántà]
解的延拓 英文
continuation of solutions
  • 解 : 解動詞（解送） send under guard
  • 的 : 4次方是 The fourth power of 2 is direction
  • 拓 : 拓動詞（把碑刻、銅器等的形狀和上面的文字、圖形印下來; 拓印） make rubbings from inscriptions pict...
  1. A highly efficient numerical algorithm by using multi - grid method ( mgm ) is introduced to solve the three dimensional field distribution in the present paper. formulae of the restriction and prolongation in mgm computation is deduced, and a 3d program of mgm is accomplished, which can solve the field distributions in electron optical systems for various electrostatic lenses. the 3d field distribution in an electrostatic concentric spherical model is tested with mgm algorithm and an algorithm based on finite difference method ( fdm ) respectively. comparing these two results in view of computational efficiency and computational accuracy, it appears that mgm is superior to fdm in solving electrostatic field distribution for the electron optics problem. this paper shows that the 3d field computation using mgm greatly improves the computational efficiency of field distributions in electron optical systems and shortens the computational time

    本文將一種高效率的數值計算方法? ?多重網格法引入三維靜電場分佈的計算，多重網格法利用限制和延拓可迅速求得滿足精度要求的場分佈.研究了求解各種靜電透鏡電子光學系統三維場分佈的多重網格法程序，驗算了靜電同心球模型的三維場分佈.通過與目前在場計算中常用的有限差分法進行比較，可以看出多重網格法的計算效率和計算精度優于有限差分法.本文表明利用多重網格法計算三維場大大提高了場分佈的計算效率，縮短了計算時間，因此為后續計算打下了良好的基礎
  2. Thirdly, we consider the n - dimensional duffing type equation with damping term. by virtue of homeomorphism, extension and fixed point method, we discuss the existence of periodic solution under the nonresonance condition

    再次，我們考慮n維的帶有阻尼項的duffing型方程，運用同胚延拓及不動點方法，討論了非共振條件下周期解的存在性問題。
  3. The solution s characteristic of the elliptic type eq uat ion and the system of elliptic type equations with first order are discussed by using the methods of several complex analysis. a series new extended results of t he soutions for the system of elliptic type equations are obtained

    將一階橢圓型實方程和橢圓型實方程組轉化為橢圓型復方程和橢圓型復方程組，藉助于多元復分析的方法，研究了一階橢圓型方程和橢圓型方程組的解的特徵，得到了有關一階橢圓型方程組解的一系列新的延拓結果
  4. The theoretical model calculation shows that, under the condition without any priori information, the energy weight value resolved from the continuation field or the maximum characteristic value of the matrix related to the continuation field can be used to judge the position of the potential field source, thus determining the burial depth of the geological body

    理論模型計算表明：在沒有任何先驗信息的條件下，可以用延拓場分解的能量權值異常或延拓場相關矩陣的最大特徵值，判斷位場場源所在位置，從而能確定地質體的埋深。
  5. The values of analytical continuation at different depths from the potential field downward constitute the continuation field, on which the principal component analysis is made

    摘要位場向下在不同深度上解析延拓的值構成延拓場，可對延拓場進行主成份分析。
  6. Through the analytic continuation of first order perturbation function in the - plane, we have that the integral path of dispersion equation should use the landau path

    。通過將一級微擾函數在整個復頻率平面上解析延拓，得到色散方程中的積分路徑應採用landau積分路徑。
  7. We reduce the cauchy problem of equations ( 8 ), ( 9 ) to an equivalent integral equations by the fundamental solution of a second order partial differential equation. then using the contraction mapping principle and the extension theorem of the solution we prove the existence and uniqueness of the global generalized solutions and the existence and uniqness of the global classical solution

    先是通過一個二階偏微分方程的基本解，把imbq型方程組歸） ， p ）的初值問題轉化為等價的積分方程組，然後利用壓縮映射原理、解的延拓定理等證明了歸） ，問的初值問題的整體廣義解和整體古典解的存在唯一性
  8. The one - step non - interior continuation method of chen and xiu for lcps is refined in chapter four. it is extended to nlps. the control parameter is replaced by the smoothing parameter in the perturbation term of newton step

    第四章細化了chen - xiu求解線性互補問題的一步非內點延拓演算法，並且推廣到非線性互補問題。
  9. The explaining for region gravity and magnetic data is accomplished by using result of potency field transformation through level and vertical relating with level one - difference of several height and vertical two - difference and working out construct map of region geophysics

    對區域重磁資料的解釋就是利用位場變換結果，是通過不同延拓高度的水平一階導數、垂向二階導數圖的解釋，再進行水平和垂向關聯，編制區域物探構造圖的方式實現。
  10. First, previous methods that used to process the magnetic data, especially the algorithms that used to compute the continued data and the derivative data, and the factors that affect the resolution of these algorithms are all discussed in detail

    首先，在研究傳統的磁測資料處理方法（主要是解析延拓和導數）的基礎上，討論了傳統處理方法的問題所在及能提高精度的途徑。
  11. Such organic combination of the determined signal analytical method for potential field analytical continuation with the stochastic signal analytical method for principal component analysis provides a new channel for the inversion of geophysical potential field

    這種將位場解析延拓的確定信號分析法與主成份分析的隨機信號分析法有機聯合，為解決地球物理位場反演問題提供了一種途徑。
  12. The advantage is that it can be used to directly calculate the real physics quantities in an economic way. in this way, we need n ' t perform the analytical continuation from the result in the itf. this new rule has the following property ; the vertex is only related with the coupling constant and independent of the orientation of the momenta, one half of the vertex components vanish

    它的優點在於能直接計算與實際物理相關的觀測量，不用象虛時溫度場論中做計算后再作解析延拓，使得計算得到一定的簡化，並具有如下特點：頂角函數只與耦合常數相關，獨立於外線動量方向，而且一半的分量為零。
  13. Using riemann - schwarz ' s symmetry principle of complex functions, the above problems are transformed into riemann - hilbert boundary problems. by combining the analysis of singularity of complex functions, generalized liouville ' s theorem, cauchy model integral and residue theorem, the general solutions of above problems are presented

    創造性運用復變函數解析延拓原理，將上述問題轉化為riemann - hilbert邊值問題，結合復應力函數奇性主部分析方法、廣義liouville定理、 cauchy型積分和留數定理，獲得了上述問題的一般解答。
  14. Tested on synthetic example, the results show that the spatial domain data processing methods presented in the thesis have higher resolution than the previous wave number domain methods. 2. wavelet has been discussed, this is a new data processing method and the test on synthetic examples and field data show that it is a good latent method

    通過數值實驗本文認為，用本文空間域的解析延拓和導數的求取方法，在網格尺度相對于延拓高度很小的情況下，對磁異常進行延拓和求垂向導的精度是比較高的。
  15. Based on the search - extend - method ( sem ) that proposed by c. m. chen and z. q. xie for computing multiple solutions of nonlinear elliptic equation, this paper introduces the fem and the interpolated coefficient finite element method into the sem and calls this improved version as isem. isem not only can reduce our expensive computation greatly but also can be generalized to non - odd nonlinearity cases as well as many different domains ( including the concave domains )

    本文在c . m . chen和z . q . xie提出的一種全新的計算非線性橢圓型方程多解的搜尋延拓方法sem的基礎上，引入了有限元方法和插值系數方法，改進后的sem （稱為isem ）大大減少了計算量，並且將原方法推廣到非奇非線性情形和多種區域（包括凹域）上。
  16. A general solution function extending method for solving mixed problems of wave equation

    求解波動方程混合問題的通解函數延拓法
  17. The adaptive homotopy method uses the homotopy with parameter to get a enough good approximation xn of the genuine solution x, and then use the newton iteration to attain a more precise one

    自適應延拓演算法用含參同倫迭代求出一個真解x ~ *的較好近似x ~ n ，再用newton迭代精確化。
  18. Continuation of solutions

    解的延拓
  19. In this paper, we compare two kinds of local maps. from the anti - integrability limit, we study the question whether the equilibria at the anti - integrability limit can persist or not with growing coupling coefficient e

    我們在這篇文章里主要比較兩類性質不同的局部函數，從反可積的極限出發，隨著耦合系數的增大，討論平衡解的延拓和分支。
  20. In the third chapter, we will study the existence and uniqueness of the classical global solution and generalized global solution to the periodic boundary value problem and the cauchy problem for this kind of equation. in the second chapter, we study the following nonlinear wave equation of higher order : with the initial boundary value conditions or with where a1, a2, a3 > 0 are constants, ( s ), f ( s0, s1, s2 s3, s4 ) are given nonlin - ear functions, u0 ( x ) and, u1 ( x ) are given initial functions. for this purpose, by green ' s function of a boundary value problem for a fourth order ordinary differential equation we first reduce the problem ( 1 ) - ( 3 ) to an equivalent intergral equation, then making use of the contraction mapping principle we prove the existence and uniqueness of the local classical solution for the intergral equation

    本文分三章，第一章為引言；第二章研究一類非線性高階波動方程的初邊值問題的整體古典解的存在性和唯一性，以及古典解的爆破；第三章研究此方程的周期邊界問題和cauchy問題的整體廣義解和整體古典解的存在性和唯一性，具體情況如下：在第二章中，我們研究一類非線性高階波動方程的如下初邊值問題：或或其中a _ 1 ， a _ 2 ， a _ 3 0為常數， （ s ） ， （ s _ 0 ， s _ 1 ， s _ 2 ， s _ 3 ， s _ 4 ， ）為已知的非線性函數， u _ 0 （ x ） ， u _ 1 ， （ x ）為已知的初始函數，為此，我們先用四階常微分方程邊值問題的green函數把上述問題轉化為等價的積分方程，然後利用壓縮映射原理證明此積分方程局部古典解的存在性和唯一性，又用解的延拓法證明上述問題整體古典解的存在性和唯一性，主要結果有：定理1設u _ 0 （ x ） ， u _ 1 （ x ） c ~ 4 [ 0 ， 1 ]且滿足邊界條件（ 2 ） ，若以下條件滿足：其中a ， b月0為常數， w
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