finite difference operator 中文意思是什麼
finite difference operator
解釋
有限差分格式- finite : adj. 有限的；【語法】限定的；【數學】有窮的，有盡的。n. 〈the finite〉 有限（性）； 〈集合詞〉有限物。adv. -ly ,-ness n.
- difference : n. 1. 差異，差別。2. 不和，爭論。3. 【數學】差，差額。4. 【邏輯學】特殊性。vt. 〈罕用語〉區別，使有差別。
- operator : n 1 操作者，機務員；司機，駕駛員；【軍事】電話兵；【電話】接線員，話務員（＝telephone operator）...
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In the thesis, the fundamental formula of ffd method derives from the square root that is approximated by a continued fraction expansion in the one - way wave equation. optimizations of the parameters of the finite - difference operator improve the validity of the method
本論文用連分式近似單程波波動方程中的平方根導出ffd演算法的基本公式，並對ffd演算法中的有限差分運算元進行了系數優化，進一步提高了計算的有效性。 -
When the author sets up the mathematics model with describing the process of two - dimensional debris flow, he develops the continuity equation by the law of conservation of mass and establishes the momentum equations by the law of conservation of momentum. the author makes full use of the advanced computer technologies, establishes the finite difference equation of numerical simulation by the differential operator fission method, and writes programs for computers which contact friendly with the other programs. the parameters are directly input on the keyboard
在泥石流堆積數值模擬方面，作者以前人工作成果為基礎，在建立數學模型時，根據質量守恆原理，推導建立了泥石流連續性方程，根據動量守恆原理，推導建立了泥石流運動方程;在數值解法上，充分利用高速發展的計算機技術，採用運算元分裂法建立數學模型的差分格式，開放式編製程序，人機對話方式設置參數，計算機程序具有通用性、可擴展性和易維護性。 -
Author, secondly, starts from the approximate expandness of square root operator, perform mathematical calculations for finite difference operator in frequency - space domain, fourier finite difference operator in mixing domain ( frequency - space and frequency - wavenumber domain ) and general screen operator in mixing domain, compare and discuss their precision of their wavefield, adaptability for lateral velocity variations, computation efficiency and stability. thirdly, author, applies the steady variational reference slowness rytov approximation general screen wavefield extrapolation operator ( vrselrf ) in frequency - wavenumber domain, to the prestack and poststack forward modeling and depth migration
第二，從平方根運算元的近似展開出發對頻率?空間域的有限差分運算元、混合域（頻率?空間域；頻率?波數域）的fourier有限差分運算元、混合域的廣義屏運算元進行了推導並對其波場描述精度、對橫向變速的適應性、計算效率和穩定性進行了比較與評述。 -
A hybrid migration method, named " fourier finite - difference migration ", is a post - stack depth migration scheme. the downward extrapolation operator is split into three operators : one operator is a phase - shift operator for a chosen constant background velocity, another operator is the well - known first - order correction term, and the third operator is a finite - difference operator for the varying of the velocity function. phase - shift downward extrapolation and finite - difference downward extrapolation preserves the advantage of phase - shift method and finite - difference method
傅立葉有限差分（簡稱ffd ）偏移演算法是一種疊后深度偏移演算法，其向下延拓運算元是一種混合運算元，包括三項：一項是處理常速的相移運算元，一項是一階相移修正運算元，最後一項是類似45度方程的有限差分運算元，用來處理劇烈橫向變速。 -
In this model, the operator splitting technique, staggered grid technique and finite difference method were used
採用運算元分裂法、交錯網格法、有限差分法進行計算。
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