積分方程式 的英文怎麼說

中文拼音 [jīfēnfāngchéngshì]
積分方程式 英文
integral equation
  • 積 : Ⅰ動詞（積累） amass; store up; accumulate Ⅱ形容詞（長時間積累下來的） long standing; long pending...
  • 分 : 分Ⅰ名詞1. （成分） component 2. （職責和權利的限度） what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] （料想） judge
  • 方 : Ⅰ名詞1 （方形; 方體） square 2 [數學] （乘方） involution; power 3 （方向） direction 4 （方面） ...
  • 程 : 名詞1 （規章; 法式） rule; regulation 2 （進度; 程序） order; procedure 3 （路途; 一段路） journe...
  • 式 : 名詞1 （樣式） type; style 2 （格式） pattern; form 3 （儀式; 典禮） ceremony; ritual 4 （自然科...
  • 積分 : 1. [數學] integral; integrate; integration 2. [體育] （積累的分數） accumulate points
  • 方程式 : capeta
  1. The method of crack - division is used to make radial cracks at the edge of cavity. a series of integral equations for determining the dsif at tips of anti - plane crack are set up in terms of the green ' s function

    按「契合」的方式和採用裂紋切割技術構造出孔邊徑向界面裂紋對sh波散射的模型，利用green函數建立直接求解m型裂紋尖端動應力強度因子的定解積分方程組。
  2. The paper takes integral calculus equation of time domain to express rails " dynamic response, then obtains the answers to time domain

    將軌道的振動響應用時間域的積分方程式表示，由此得到時域解答。
  3. This technique combines the edge - based finite - element method with physical optics ( po ) and physical theory of diffraction ( ptd ). the hybrid technique is applied to compute the scattering fields from the electrically large bodies with cracks and cavities on their surfaces. it is also used to analyze the scattering characteristics of microstrip antennas residing in a cavity mounted on metal objects with finite sizes

    本文採用edge - basedfem為基本方法，結合物理光學法（ po ） 、物理繞射理論（ ptd ） 、邊界積分方程（ bi ） 、區域分解技術（ ddm ）和完全匹配層（ pml ）吸收邊界條件等求解方法構成的混合方法，對電磁散射和輻射問題進行了研究，主要包括以下內容：提出了一種edge - basedfem與物理光學方法和物理繞射理論相結合的混合方法? fem po - ptd方法，並將該混合方法應用於帶有腔體或槽縫的電大尺寸導體目標的電磁散射特性分析和位於有限導體目標上的背腔式微帶貼片天線的電磁散射特性分析。
  4. In this dissertation, the numerical computation for the acoustic radiation problem ( arp ) is studied deeply and systematically in the theory, method and the application technique, based on analyzing the situation of the home and abroad on the numerical computation for the acoustic radiation problem. the calculation formulas of the boundary element method ( bem ) for the exterior acoustic radiation problem in the full - space and half - space are deduced, based on the wave propagation theorem ; the arising of the non - unique solutions, which is associated with the application of the boundary integral equation ( bie ) in acoustic radiation problem, is analyzed and proofed ; the improved combined helmholtz integral equation formulation ( ichief ) is presented to overcome the non - uniqueness problem more effectively and reliably ; the determination of the singular integral coefficients on various occasions is analyzed ; the properties and treatments of the singular integrals with different orders axe studied ; the computation program of the cubic spline ichief is developed and its ability to overcome the non - uniqueness problem and feasibility to discrete the surface coarsely with the sufficient calculation precision are examined through examples

    第二章在聲波動理論基礎上，詳細地推導出對應于無限域和半無限域的外部振動聲輻射問題的邊界積分方程計算公式；根據fredholm積分理論，對利用邊界積分方程計算振動聲輻射問題過程中解的非唯一性的產生進行了分析和證明；改進了chief法以提高其克服解的非唯一性的有效性和可靠性；對不同條件下奇性系數的計算、強奇性積分的收斂性及其在變量替換時與普通積分的差異性、不同階奇性積分的計算、數值求積分等進行了研究；開發了三次樣條改進chief法計算軟體，並通過算例考核了該方法在特徵波數處克服解的非唯一性的有效性和在保證計算精度的前提下實現剖分粗化以提高計算效率的可行性。
  5. A presentation of the fundamentals of modern numerical techniques for a wide range of linear and nonlinear elliptic, parabolic and hyperbolic partial differential equations and integral equations central to a wide variety of applications in science, engineering, and other fields

    本課程講授求解不同線性及非線性橢圓、拋物線及雙曲線偏微分方程式與積分方程式等之現代數值技巧基礎，並強調在許多科學、工程及相關領域上的應用。
  6. A hybrid technique of fem with boundary integral ( bi ) technique is employed firstly for the evaluation of electromagnetic scattering by microstrip fractal patch antennas residing in a cavity. the calculated results show that the electromagnetic scattering of the microstrip fractal patch antennas residing in a cavity depends largely on the driven element rather than on the parasitic fractal elements

    將edge一basedfem與邊界積分方程相結合，分析了背腔式分形微帶貼片天線的電磁散射特性，得出了分形微帶天線的電磁散射特性主要由分形微帶天線的激勵單元而不是由寄生單元決定的結論。
  7. The boundary integral equation for elasticity is derived through the general green ’ s formula and the corresponding fundamental solution. the paper represents the contact conditions, which are essential for the coupling of the boundary integral equations of the two different elastic contact bodies, in a local coordinate system properly chosen

    利用廣義格林公式和基本解得出彈性問題的邊界積分方程，採用循環迭代的方法，通過尋求與接觸條件相協調的接觸邊界位移及面力增量來確定接觸區域的大小。
  8. As one part of the work, the induced current on perfect conductor surface is computed with mom method and graphed by origin. the factors, such as choice of basis function and sliced mounts of one cell, which affect solution accuracy are summarized. all of these provide a good basis for the latter computation of array scattering field

    其中第一部分工作從電場積分方程出發，利用矩量法計算了理想導體貼片上的感應電流，進而得到平面陣列和曲面陣列的散射場，研究了陣列單元尺寸、排布形式和入射波的角度，以及曲面陣列的陣面形狀等因素對陣列散射場的影響規律。
  9. 2 ) radar incidence angle and surface roughness correction : to make radar incidence correction and eliminate the surface roughness effects, a wide range of surface parameters ( soil moisture, surface rms height, correlation length, incidence angle ) was input to the ibm model to simulate the effect of surface roughness and radar incidence angle on the sensitivity of soil moisture to the radar backscattering coefficient. a simple model was established to simulate the effects of incidence angle and surface roughness. 3 ) establishment of soil moisture change inversion model : according to a modified ibm model simulation results, the bare surface backscattering coefficients can be expressed as a funtion of the dielectric component for a given surface roughness when the surface slope greater than 2. 0, which is valid for most nature surface : in above equation, r0 is the surface reflectivity at normal incidence

    本研究中，首先利用基於微波輻射傳輸方程的微波植被模型和積分方程（ iem ）模型模擬了各種地表土壤水分含量情況下，植被覆蓋、地表粗糙度（包括地表均方根高度和相關長度） 、雷達入射角對c波段（頻率4 . 7ghz ）水平極化（ hh ）雷達後向散射系數的影響，在此基礎上，建立模型消除了植被覆蓋、地表粗糙度、及雷達入射角對雷達後向散射的影響，利用多時相50m解析度radarsatscansar雷達後向散射系數圖像反演得到了地表土壤水分變化模式信息。
  10. In fegm, the shape function is constructed by the moving least square ( mls ) approximation, the weak form of the equivalent integral equation to the governing equation is employed and essential boundary conditions are imposed by the penalty function method

    它採用移動最小二乘法構造形函數，利用能量泛函的弱變分形式的積分方程，並用罰函數法施加本質邊界條件，從而得到積分方程的數值解。
  11. Recently, clusters with distributed memory are popular for parallel computing systems, and mpi is the actual standard of message passing programming. therefore, the application of clusters based on mpi to computational electromagnetics is studied in this dissertation. the methods are mom based on the integral equation method in conjunction with the preconditioning technique to speed up the iterative solution and a matrix order reducing method, namely the characteristic basis function method ( cbfm )

    目前，分散式內存的集群系統是并行計算系統的主流系統， mpi是消息傳遞編程實際上的標準，本文即研究了基於mpi的集群技術在計算電磁學中的應用，採用的方法主要是基於積分方程的矩量法，並結合了加速迭代的預條件技術以及一種矩陣降階方法? ? cbf方法。
  12. In this paper the flow field of falling film along the inner of vertical tube is simulated and it ' s the necessary base of the further research that includes characteristics of heat and mass transfer in the absorber under the fluctuant state. in this paper the ocean fisher ' s movement in the ocean is studied and the physical and the mathematical models of fisher are founded, then the expressions of the force caused by the movement are obtained. the expressions are combined with partial different equations of falling film under the static state, thus the mathematical model of the falling film under fluctuant state can be gained

    本文首先研究了船舶在海洋中的運動，建立了船舶搖擺運動的簡化物理模型和數學模型，得到了運動附加力的表達式；並在此基礎上將吸收管的運動附加力表達式代入靜止狀態下液膜流動的數學模型中，即得到了搖擺狀態下液膜流動的數學模型；然後對液膜流動的數學模型進行了簡化，在假定了速度分佈的條件下，得出了液膜流動的積分方程，經過以上簡化就將求解三維問題轉化成為求解二維問題；將積分方程離散化後用數值計算的方法模擬了整個流場。
  13. In this paper the flow field of falling film along the inner of vertical tube is simulated and it ' s the necessary base of the further research that includes characteristics of heat and mass transfer in the absorber under the fluctuant state. in this paper the ocean fisher ' s movement in the ocean is studied and the physical and the mathematical models of fisher are founded, then the expressions of the force by the movement are obtained. the expressions are combined with partial different equations of falling film under the static state, thus the mathematical model of the falling film under fluctuant state can be gained

    本文首先研究了船舶在海洋中的運動，建立了船舶搖擺運動的簡化物理模型和數學模型，得到了運動附加力的表達式；並在此基礎上將吸收管的運動附加力表達式代入靜止狀態下液膜流動的數學模型中，即得到了搖擺狀態下液膜流動的數學模型；然後對液膜流動的數學模型進行了簡化，在假定了速度分佈的條件下，得出了液膜流動的積分方程，經過以上簡化就將求解三維問題轉化成為求解二維問題；將積分方程離散後用數值計算的方法模擬了整個流場。
  14. Permanent magnetic spherical stepper ( pmss ) is a novel kind of spherical motor, which has advantages of simple structure, small volume, light weight and high torque etc. the model of magnetic field inside pmss is developed using integral equation method ( iem ) and discrete expressions on field distribution are also derived

    永磁步進球形電動機是一種新型的球形電動機，具有結構簡單、體積小、重量輕、力能指標高、控制簡單等優點。本文用積分方程法建立了永磁步進球形電動機磁場的數學模型，導出了用於計算其磁場分佈的離散計算公式。
  15. The fipwa based on electric integral equation ( efie ) is presented firstly, the green ’ s function expansion with sommerfeld identity ( based on bessel kernel ) is studied and the msdp for two cases is formulated. in order to improve the iteration property and avoid inner resonance, the combined field integral equation ( cfie ) fipwa is then constructed successfully

    首先研究了基於電場積分方程的快速非均勻平面波演算法，對索末菲恆等式（基於貝塞爾積分核）展開的格林函數進行了深入研究，分兩種情形解決了修正最陡下降路徑的設計問題。
  16. In this paper, using the fundamental theorems about the existence of the characteristic value of the symmetric integral equation, we prove another two important theorems

    摘要本文利用對稱式方程特徵值存在基本定理證明了關于對稱式積分方程特徵值存在性的兩個重要結論。
  17. In chapter three, the momentum integral equations and their solutions of two - phase fluids in boundary layer are given and the no - disturbance solutions on the surface of vane are required. leading into the disturbance factor of no - dimension and thickness coefficient ks in boundary layer, the numerical method of finite approximation is used to calculate the boundary layer

    第三章給出了固液兩相流泵的邊界層動量積分方程及其解的一般表達式，並得到葉片表面的無擾動解；引入了無量綱擾動因子及邊界層厚度系數k _ ，給出了用於邊界層計算的有限次逼近的計算方法。
  18. Firstly, based on n - s equation, the momentum differential equation （ contained centrifugal force ） is derived by simplification in boundary layer and then integrates the differential equation over the thickness of the boundary layer, the momentum integral equation is deduced. the dimensionless centrifugal factor is introduced, then the solution of the momentum integral equation is obtained. the dimensionless group is introduced to determined separation of boundary layer

    本文首先根據粘性流體力學的一般方程，通過在邊界層內進行量級比較，在所限定的范圍內得到了含有離心力的邊界層動量微分方程並給出其滿足的邊界條件，然後對該微分方程在邊界層內積分得到離心泵葉輪邊界層動量積分方程，在求解過程中引入了無量綱離心因子，並作了相應合理的假設，得出積分方程解的一般表達式，並引入以邊界層動量損失厚度為主要特徵量的無量綱參數對邊界層分離進行評價。
  19. To solve the dual integral equations, the jumps of the displacements across the crack surfaces are expanded in a series of jacobi polynomials

    為了求解對偶積分方程，將裂紋面上的位移差函數展開為雅可畢多項式的級數形式。
  20. Introduction, reviews and concepts of functions, differentiation, vector algebra, vector differetiation, vector integral, orthogonal curvilinear coordinates

    課程介紹及授課計劃、函數觀念及復習、微分、向量代數、向量微分、向量積分、正交曲線座標、微分方程式。
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