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- Hilbert singular integral equation Hilber奇異積分方程
- Oestreich[9] deal with an optimal control problem of such a type, however for a nonlinear singular integral equation. 在這個(gè)假設條件下，我們首先證明了狀態(tài)方程解的存在唯一性和最優(yōu)控制的存在性.
- The algorithm that solves weakly singular integral equation by Nystrom method is first discussed. 本文首先研究了Nystrom方法求解弱奇異積分方程的算法。
- An approximate solution of a class of singular integral equation is given, the error and the possibility of the solution is analysed and proved. 給出了一類(lèi)奇異積分方程的一種近似解法，并對其誤差進(jìn)行了分析估計，同時(shí)驗證了該方法的可行性.
- By using the method of spherical harmonic, the boundedness of a kind of singular integral operator in product domains is given in this paper. 摘要用球調和的方法研究了一類(lèi)乘積空間上奇異積分算子的有界性，所獲得的結果給出了以往奇異積分算子有界性的應用。
- After using the obtained elementary soluation,the singular integral equation for the collinear crack problem was obtained. 利用此基本解可得共線(xiàn)裂紋問(wèn)題的奇異積分方程。
- The commutators [b, T] to be considered in this paper are composed of singular integral operators with Dini-type kernel defined as above and BMO functions. 本文考慮上述核具Dini型條件的奇異積分算子T與BMO函數構成的交換子[b,T]的端點(diǎn)估計,證明了交換子[b,T]滿(mǎn)足L(log L)型不等式:
- 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(lèi)奇異積分方程的一種近似解法，并對其誤差進(jìn)行了分析估計，同時(shí)驗證了該方法的可行性.
- Compared with NAH based on the boundary element method (BEM), variable interpolation, numerical calculation and disposal of singular integral are avoided in this method. 建立了基于分布源邊界點(diǎn)法的聲散射場(chǎng)重建和預測理論模型。
- The edge internal branch crack problems for half-plane in antiplane elasticity are solved with complex potentials and singular integral equation approach. 利用復變函數和奇異積分方程方法,求解反平面彈性中半平面邊緣內分叉裂紋問(wèn)題。
- 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(gè)卷積核的對偶型奇異積分方程給出了向量形式求解方法，并且給出了一般解的顯式及相應的可解條件。
- Different kinds of integrations have to be evaluated in boundary element methods.The nearly singular integral is the most difficult one of them. 摘要邊界元法通常需要采用數值方法解決單元內的各種積分問(wèn)題，而準奇異積分是各種積分中數值處理最為困難的部分。
- Singular integral equations with complex translations on smooth closed curve are discussed if equations satisfy regularity condition. And the solutions are obtained by the method of regularization. 在正則型的假設下;討論了封閉曲線(xiàn)帶復平移的奇異積分方程;并利用正則化方法得到方程解的表達式;所得結論補充了帶平移的奇異積分方程的理論.
- The difficulty of the treatment of the nearly singular integrals hindered applications of Boundary Element Method(BEM). 摘要幾乎奇異積分的計算困難阻礙了邊界元法的工程應用。
- The singular integration will affect the precision of the result while the Boundary Element Method (BEM) is used in calculating sound radiation. 邊界元法應用于計算輻射聲場(chǎng)時(shí)，由于奇異積分的存在，會(huì )影響到計算結果的精度。
- In this note,several types of the formulas to interchanging order of integration for singular integrals of high order on real aris are given. 給出實(shí)軸上幾種類(lèi)型高階奇異積分的換序公式 .
- Singular integrals can be dealed with successfully for either linear element or quatratic element in the two-dimension shape optimization. 在兩維形狀優(yōu)化中,無(wú)論用線(xiàn)性單元或是二次單元,積分的奇異性都可以完滿(mǎn)處理。
- It is significant for structure analysis to implement object-oriented programming of BEM and improve singular integrals. 用面向對象的方法實(shí)現邊界元結構程序分析和解決奇異積分計算,對結構計算分析具有一定的現實(shí)意義。
- Therefore, there are no problems such as parameters interpolation, singular integration etc. in WSA based acoustic holography, which are inherent to BEM based NAH. 因而 ;基于波疊加法的聲全息就不存在邊界面上的參數插值和奇異積分等問(wèn)題 ;而這些問(wèn)題是基于邊界元法的聲全息所固有的 .
- What is the ending in the singular? 這個(gè)詞的單數詞尾是怎樣的?
