singular integral 中文意思是什麼

singular integral 解釋
奇積分
  • singular : adj 1 唯一的,獨一的,單獨的,一人的,一個的;【法律】各自的,各個的;【邏輯學】單稱的;【語法】...
  • integral : adj 1 完全的;缺一不可的,主要的。2 【數學】整的,積分的。n 全體,整體;【數學】積分。 definite i...
  1. The boundedness of the multilinear singular integral on hardy spaces

    空間的有界性
  2. Normalization of singular integral equations

    奇異積分方程的標準化
  3. 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
  4. A class of the singular integral equation on several complex variables

    一類多復變量的奇異積分方程
  5. 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。
  6. 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。
  7. Singular integral equations and boundary element method of cracks in thermally stressed planar solids

    熱載荷作用下平面裂紋問題的奇異積分方程與邊界元法
  8. 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
  9. Weighted inequalities for vector valued commutators of singular integral operators

    奇異積分向量值交換子的加權不等式
  10. In order to verify the feasibility of the present method, chapter 3 takes the fluid flow of sphere, cylinder and the additive mass of two spheres as three examples, finishes the calculation by disposing the source or sink whose strength is expressed as the format of nurbs and emphatically the processing of the singular integral. it can be drawn from the comparison of the results of present method and the theoretical solution, i. e. a good precision can be gotten under a few collocation points with the method

    為了考查本文方法的可行性,第3章以圓球體繞流、圓柱繞流以及兩個等圓球體在流場中的附加質量作為例子,通過在物體表面布置強度以非均勻有理b樣條表達的源匯和著重對奇異積分的處理后完成了相應的計算,從與理論解的比較可以看出本方法的優越:在數目很少的配置點下數值解可取得十分良好的精度。
  11. In section 4, by the use of the method of the singular integral and the precise computations of singular series, we estimate mi

    在第四節,對奇異積分進行詳細的討論,並通過對a ( q )仔細的計算,我們估計了m _ 1
  12. 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
  13. Some problems on the solution of the singular integral equations with both cauchy kernel and convolution kernels

    核和卷積核混合的奇異積分方程求解方法的研究問題
  14. 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。
  15. Boundedness of strongly singular integral operators with rough kernels

    粗糙核強奇異積分運算元的有界性
  16. Boundedness of commutators of - type calder 243 ; n - zygmund singular integral operators

    運算元交換子的有界性
  17. Weighted inequalities for generalized maximal and singular integral operators in generalized morrey spaces

    空問中奇異積分運算元和極大運算元的加權不等式
  18. 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乘積空間上奇異積分運算元的有界性,所獲得的結果給出了以往奇異積分運算元有界性的應用。
  19. The solution to these problmes will not only enrich singular integral operator theory and function space theory, but also push on the research of partial differential equations

    這些問題的解決不僅會極大的豐富奇異積分運算元理論和函數空間理論,而且會對偏微分方程的研究起到推動作用。
  20. A note of the fractional multilinear singular integral

    關于多線性分數次奇異積分的一個注
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