finite-difference computation 中文意思是什麼

finite-difference computation 解釋
有限差分計算
  • 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。
  • computation : n. 1. 計算，估算。2. 計演算法。3. 計算結果，得數。
  1. The finite-difference computation must be convergent and stable.

    有限差分計算必須收斂和穩定。
  2. 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
  3. ( 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。
  4. 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。
  5. ( 3 ) on parallel computing of the third generation ocean general circulation model from lasg / iap i ) we present an optimization model by multi - overlapping - boundary for parallel explicit integration with finite difference discretization, and point out that the gap between speed of network and cpu makes it a practical technique. we compare the parallel characteristics of spectral element and finite difference from the point of view of communications, communication - to - computation ratio and scalability

    （ 3 ）關于中科院大氣物理研究所第三代海洋環流模式的高效并行計算? ）基於對有限差分離散的分析，提出了一個面向顯式時間積分并行計算的多重疊國防科學技術大學研究生院學位論文邊界優化模型，指出了網路速度與處理器速度間的落差使得採用冗餘計算取代部分通信成為一種具有相對優勢的實用技術。
  6. The test results demonstrate that this new finite - difference method can be efficient and sufficiently accurate. it may also be an effective and robust tool in other areas involving the numerical computation of partial differential equations

    實驗的結果表明，本文的方法具有高效、精確、實用的特點，並且可以推廣應用到其他涉及偏微分方程數值計算的領域，具有廣闊的應用前景。
  7. This thesis contributed to the comprehensive study of the finite - difference time - domain ( fdtd ) method and its application to the numerical computation of radiated electromagnetic fields in switched mode power supplies. the work includes mainly three parts : the study on the performance of pml absorbing boundary condition applied to pseudo low frequency electromagnetic problems ; the validation of the fdtd method with pml absorbing boundary conditions and the corresponding computer software based on the numerical study of the electromagnetic field of an electric dipole antenna, and its application to the numerical computation of radiated electromagnetic fields in switched mode power supplies ; the development of an improved alternating direction implicit finite - difference time - domain method

    在綜合前人工作基礎上，本文對時域有限差分（ fdtd ）法及其在開關電源輻射電磁場數值計算中的應用進行了系統的分析和研究，其核心內容包括：偽低頻電磁場數值計算中pml吸收邊界條件性能的研究；基於基準問題?電偶極子天線三維輻射電磁場，驗證了本文構造的基於pml吸收邊界條件的三維fdtd法及其計算軟體，並應用於高頻開關電源輻射電磁場的數值分析；提出了一種改進的交替方向隱格式時域有限差分法。
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