singular integral equation 中文意思是什麼
singular integral equation
解釋
奇積分方程-
On the solution of a kind of nonlinear singular integral equation
一種非線性奇異積分方程的解法 -
A class of the singular integral equation on several complex variables
一類多復變量的奇異積分方程 -
The stability of cauchy singular integral when the integral curve has a smooth perturbation is discussed in our first partition ; we apply some results of the first partition to the second partition and solve the stability of the solution to the cauchy singular integral equation. finally, on the basis of the stability of the cauchy type integral, we study the stability of the solution to the riemann boundary value problem when the contour perturbs smoothly
在第一部分中，我們主要討論了cauchy奇異積分在積分曲線發生光滑擾動時的穩定性問題；而在第二部分中，我們把第一部分的結果應用到cauchy奇異積分方程，導出了其關于積分曲線攝動的穩定性的研究及其一些結果；最後，在第三部分中，我們在研究cauchy型積分關于積分曲線的穩定性問題的基礎上，探討了riemann邊值問題的穩定性問題。 -
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。 -
Abstract : an approximate solution of a class of singular integral equation is given, the error and the possibility of the solution is analysed and proved
文摘:給出了一類奇異積分方程的一種近似解法，並對其誤差進行了分析估計，同時驗證了該方法的可行性 -
The calculation of nearly singular integrals about points close to boundary in boundary integral equation
邊界積分方程中近邊界點幾乎奇異積分的計算 -
On method of solution for a class of dual completing singular integral equation with two convolution kernels
關於一類含二個卷積核的對偶型完全奇異積分方程的求解 -
In this paper, the method of solution in the vector format for a kind of dual singular integral equation with two convolution kernels is discussed, and the general explicit solution and the related conditions of solvability are obtained
摘要本文對文[ 2 ]中的含兩個卷積核的對偶型奇異積分方程給出了向量形式求解方法，並且給出了一般解的顯式及相應的可解條件。 -
On the solution of a kind of special nonlinear singular integral equation
一種特殊非線性奇異積分方程的求解 -
New results about the existence of the positive solutions to a singular integral equation are obtained in the form of ( the equation is abbreviated ), t ( 0, 1 ), in the boundary layer theory
摘要對邊界層理論新結果中出現的一類奇異積分方程（方程式略） ， t （ 0 ， 1 ）進行討論，並得出了上述方程在（ 1 / 2 ， 0 ）上正解存在性的新結果。
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