高階近似 的英文怎麼說

中文拼音 [gāojiējìnsì]
高階近似 英文
high-order approximation
  • 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
  • 近 : Ⅰ形容詞1 （空間或時間距離短） near; close 2 （接近） approaching; approximately; close to 3 （親...
  • 高階 : high [higher] order高階導數 higher derivative; higher order derivative; derivative of higher orde...
  • 近似 : approximate; similar; approach; approximation; roughness; propinquity
  1. 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
  2. It is especially attractive for the downlinks and suppressing intercell mai. when multiuser detector is adapted in blind mode, it usually adopts eignvalue decomposition or singularvalue decomposition of received sample correlation matrix and tracking alrithgms, which result in high computational complexity. at the same time, approximation computation in tracking alrithgms also result in slow convergence

    為實現盲自適應檢測，通常採用對接收信號樣本矩陣進行特徵值分解（ evd ）或奇異值分解（ svd ）后進行跟蹤，由此帶來的子空間秩跟蹤使得實現復雜度很高；另一方面，在跟蹤演算法中考慮一些實際情況而作出近似處理，從而引起誤差積累和正交性誤差，導致每次跟蹤開始階段跟蹤速度變慢。
  3. For unmagnetized, relativistic and hot ion plasmas, the ion - acoustic waves can be described by the kadomtsev - petviashvili ( kp ) equation ( ( ut + auux + buxxx ) x + duyy = 0 ). it suggests that the nonlinear ion - acoustic solitary waves in a relativistic hot ion plasma are stable even there are some higher order transverse perturbations. there are only compressive solitary waves in the relativistic hot ion plasmas which has been vertified analytically

    在低階近似下，無磁場相對論熱離子等離子體可由kp方程（ （ u _ t + auu _ （ x ） + bu _ （ xxx ） _ x + cu _ （ yy ） = 0 ）來描述，相對論熱離子等離子中的非線性離子聲孤波在高階橫向擾動下是穩定的，且在相對論熱離子等離子體中僅存在壓縮型孤波
  4. But difficulty in maths will come forth when meeting high spin particles if we using such method. on base of the characteristic of energy space, we obtained the wavefunctions and geometric phase by the trial function method in this paper. the berry phase of the system are also obtained after an evolution period

    文中在絕熱近似下根據自旋粒子能級間隔特點用嘗試波函數法求出了旋轉磁場中高自旋粒子系統的波函數及幾何相位，解決了用一般方法求解時出現高階微分方程的困難。
  5. First, we apply the method of galerkin and the fixed theorem of the larey - schauder to prove the existence of the approximate solution. next, we give the priori estimates of the higher order derivatives ( with respect to spa - tial variable and time variable ) of the approximate solution

    首先應用galerkin方法和larey一schaude :不動點定理證明近似解的存在性，然後進行近似解的高階導數的先驗估計（關于空間變量和時間變量） 。
  6. In this paper, we expand eigenvalue of poisson equation using bilinear element, by the formulation of the error expanition, we can conclude that it is a upper bound. and by two numerical example, we computer the approximate eigenvalue of poisson equation in square and l - shape domains, then we analyses the approximate eigenvalue. we also extraplate the error expansion and enhance the accuracy of the eigenvalue form the second order to the forth order

    本論文對poisson方程的特徵值採用雙線性元進行展開，得到了誤差展開式，通過誤差展開式，我們能得到特徵值是上界。通過數值算例，計算方形與l形區域上的poisson方程的近似特徵值，並對數據進行分析，驗證了理論的正確性，然後通過對誤差展開式外推，收斂級數可以從二階提高到四階，得到了高精度的解。
  7. Abstract : based on two order approximation of the variation of refraction index produced by self - action while optical pulses are traveling in kerr - medium, the propagation equation has been solved. furthermore, the strict analytical expressions of the amplitude, width and chirp parameter of chirped gaussian pulse, relative to the propagation distance, are deduced. the solitary wave traveling conditions of fundamental mode gaussian pulse have been discussed

    文摘:將光脈沖在克爾介質中自作用產生的折射率變化作二階近似，求解所得到的傳播方程，得到啁啾高斯脈沖幅度，脈沖寬度和周啾參數隨傳播距離變化的嚴格解析解，討論了基模高斯脈沖孤波傳播的條件。
  8. Finally, we present the approximate distribution of trapping potential of the guided cold atoms in the atomic funnel based on the vccc or the uccc. by using a similar method in the analysis of optical coherence, we study the coherent evolution of the ground - state wave function of ultra - cold atoms in atomic funnel, and obtain some normalized correlation functions of the first, second, third and high order

    最後，給出了原子在基於v -型和u -型載流導體構建的原子漏斗中所感受到的囚禁勢的摘要採用漂流導體的原子易引及其原於光學器件近似分分，並採用類似於光場相干性的分析方法，計算了超冷原子物質波的基進波函數及其在原子漏斗中傳播時相干性的演化，得到了物質波的一階、二階、三階和高階相於度。
  9. This dissertation studies mainly approximations to special classes of set - valued maps and their applications, in order to compute differentials of some class of set - valued maps and to solve basis theories of constructing high - ordered methods of nonsmooth functions. then results obtained in this dissertation are applied to optimality theories in optimization

    本文針對研究非光滑函數的高階演算法的理論基礎和集值映射的微分的計算的課題，主要研究幾類特殊類型的集值映射的（方向）導數的計算與近似，並將得到的結果應用到優化的最優性理論中。
  10. Firstly, a reduced order model of this flexible structure is obtained by frequency domain identification, then unstructured uncertainties constituted by neglected modes are taken care of in the time of design process by choosing appropriate weighting functions, arid finally a robust feedback controller is designed based on the reduced order model and the approximate knowledge of unmodeled uncertainties

    首先通過頻域辨識得到柔性結構的降階模型，而剩餘高階模態構成的非結構不確定性，通過對權函數的選擇在設計階段就加以考慮，然後基於降階模型和未建模不確定的近似特性設計了魯棒反饋控制器。
  11. The results of numerical experiments, using the four - dimensional variational data assimilation system of the nonhydrostatic mesoscale model mm5, show that : the tangent linear model and adjoint model conducted by keeping the " on - off " switches the same as the basic state, can provide a good approximation of the first - order information to the nlm perturbation and a good descent direction for the minimization procedure ; switching on and off at every other time step in the kuo cumulus parameterization scheme do n ' t impact the convergence rate of cost function ; the existence of the switches do n ' t impact improvement to the mm5 model rainfall prediction because that not only specific humidity, but also wind, temperature and pressure are assimilated into the model

    非靜力中尺度數值模式mm5的四維變分資料同化系統進行的數值試驗結果表明： 「開關」變量保持與基態一致，所構造的切向線性模式能夠提供關于非線性模式擾動的一階近似，伴隨模式所計算的梯度值能夠為最小化過程提供較好的下降方向；郭氏降水參數化方案中對流每隔一個積分步的交替發生並不影響目標函數最小化的收斂速度； 「開關」變量的存在也不影響將風、溫度、氣壓和比濕結合起來同化對mm5降水預報準確性的提高。
  12. Eno schemes are based on the approximation theory, which achieve high - order spatial accuracy by reconstructing piecewise smooth high - order approximate polynomial from the cell - averaging values. during the reconstruction, adaptive stencil technology, which automatically chooses the relatively smoothest stencil from all possible stencils, is adopted to guarantee essentially non - oscillation near the discontinuity

    Eno格式基於近似理論，採用自適應基架技術（即自動選取所有基架中相對最為光滑的基架） ，對網格平均值構造分段光滑的高階多項式來獲得高階空間精度，同時保證格式在間斷附近具有基本無振蕩性質。
  13. Through such a study, it is also shown that when the time delay is long enough such that the stability switches of the equilibrium of system halt, the bifurcation branches originated from the critical time delays cannot be surely stable or unstable in the whole solution space, that is, their stability depends on cases. this phenomenon also implies that the stability of the periodic solutions on the bifurcation diagrams indicates only the stability on the local center manifo ld. some distinguished features of delay dyn

    利用打靶法的數值結果說明了當系統平衡點不再發生穩定性切換時，源自這些臨界時滯處的解支的穩定性在整個解空間的穩定性具有不可判定性，這也說明由多尺度法所得高階近似判定的解支的穩定性事實上只表示解支在局部中心流形上的穩定性，而非在整個解空間中的穩定性。
  14. The multiscale sample paths based on distinctive order tree are presented by computer simulation. second, we present the method of 3x3 - order tree - based of redundant multiscale representation for 2 - d markov random fields, and we propose a class of non - redundant multiscale model for reduced - order approximately representing gaussian markov random fields making ties to multiscale analysis

    2 、給出了2 - d馬爾可夫隨機場基於3 3階樹有冗餘的多尺度表示方法，並結合多尺度分析的思想，建立了2 - d高斯馬爾可夫隨機場降階、近似、無冗餘的多尺度表示模型。
  15. This dissertation presented two new methods of robust adaptive track control for a class of mimo strong nonlinear system with external disturbance. one method makes use of taylor approximation principle to linearize the mimo strong nonlinear system at the ideal equilibrium point, meanwhile external disturbance is considered, and then designs two on - line neural network controller respectively, which can dynamically compensate the high order items of taylor series and the control signals at ideal equilibrium point under the drive of state error between linear and nonlinear system. a linear feedback controller obtained by pole assignment and two on - line neural network act on the practical mimo high nonlinear system together, guaranteeing the whole system robust stable and tracking the specified signal ; the other method designs three on - line neural networks for this class of system

    本文對於一類含有外部擾動的多輸入多輸出（ mimo ）強非線性系統，提出了兩種新的魯棒自適應跟蹤控制方法，第一種利用了taylor近似的原理，在考慮了外部擾動的情況下，將mimo強非線性系統在理想平衡點處線性化，分別設計了兩個在線神經網路控制器，在線性和非線性系統之間的狀態誤差驅動下動態補償系統的taylor近似高階項及理想平衡點處的控制信號，滿足極點配置方法的線性反饋控制器和兩個在線神經網路聯合作用於實際的被控mimo強非線性系統，在保證整個系統魯棒穩定性的情況下，能夠跟蹤給定的指令信號；另一種方法是針對這類系統設計了3個在線神經網路，分別實時抵消這類非線性系統中的非線性部分、與控制量耦合的非線性項以及外部擾動，使得受控系統的輸出可以完全跟蹤給定輸入參考信號。
  16. We expand the eigenvalue of possion equation using wilson nonconforming element. by the formulation of the error expanition, we can not conclude whether it is a upper bound or a lowr bound. but we guess it is a lower bound, and by two numerical example, we find thatwe are right. we also extraplate the error expansion and enhance the accuracy of the eigenvalue from second order to third order

    通過數值算例，計算方行與l行區域上的poisson方程的近似特徵值，並對數據進行分析，驗證了我們的推測是正確的，然後通過對誤差展開式外推，收斂階數可以從二階提高到三階，得到了高精度的解。
  17. Through extrapolation, the order is poromted from 2 to 4. for rannacher - turek element, its single root also gives lower - bound approximation. however, it can reach fourth order and further extrapolation leads to sixth order, while its repeted root has only second order precision and extrapolation leads to fourth order precision

    實驗結果表明拓廣rannacher - turek元確實給出特徵值的下逼近，並且要優于線性元，外推可以使2階精度提高到4階，而rannacher - turek元對單根同樣給出下逼近，但近似解本身便可達到4階高精度，外推可以獲得更高階（ 6階）精度，重根卻給出上逼近，只具有2階精度，但可以通過外推達到4階精度。
  18. Two - order enhanced un - split finite volume euler method for multi - fluid flow, which combines the roe approximate riemann solver, is developed to simulate the multi - fluid interactions, such as the fluid described by polynomial eos, stiffen gas eos, jones - wilkins - lee ( jwl ) gaseous explosive eos, cochran - chan ( cc ) solid explosive eos and hom shock wave eos, etc. numerical results of the id, 2d and 3d multi - fluid interaction examples show that the high - resolution method and interface capturing equations can resolve the multi - fluid flow correctly and successfully. a simple fluid - mixture type ppm algorithm for multi - fluid flow, which is based on vof interface capturing method and resolved by langange / remap two steps, is developed to simulate the high density or high pressure ratio flow at both sides of the interface

    本文提出了實用於多介質流體的增強型二階精度有限體積歐拉數值計算方法，採用roe方法近似求解riemann問題，可以適用於多項式狀態方程、 「 stiffengas 」狀態方程、 jones - wilkins - lee爆轟產物狀態方程、 cochran - chan固體炸藥狀態方程以及hom狀態方程等，並對多介質流體相互作用的一維、二維、三維問題進行數值計算，數值驗證了本文給出的高精度差分格式和界面捕捉方法的正確性，兩種方法耦合形成的多介質流體數值計算方法是成功的。
  19. The results show that : the whole bit wear process can be divided into three phases ; the regularity of the machining time per hole with the number of holes machined is close to a periodic variation ; higher machining efficiency or working life can be obtained when the drilling pressure and the wall thickness of the bit are advisable

    發現鉆頭的整個磨損過程可分為3個階段；孔加工時間隨孔數近似呈周期性變化；鉆壓和鉆頭壁厚適當時，可獲得更高的加工效率或者工具壽命。
  20. The biorthogonal multi - scaling vector with higher approximation order was constructed using tst

    利用雙尺度相似變換構造了高逼近階的雙正交尺度向量。
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