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- A Class of Rough Singular Integral Operators on Product Domains 积域上的一类粗糙奇异积分算子
- Rough singular integral 粗糙奇异积分
- Oestreich[9] deal with an optimal control problem of such a type, however for a nonlinear singular integral equation. 在这个假设条件下，我们首先证明了状态方程解的存在唯一性和最优控制的存在性.
- The algorithm that solves weakly singular integral equation by Nystrom method is first discussed. 本文首先研究了Nystrom方法求解弱奇异积分方程的算法。
- An approximate solution of a class of singular integral equation is given, the error and the possibility of the solution is analysed and proved. 给出了一类奇异积分方程的一种近似解法，并对其误差进行了分析估计，同时验证了该方法的可行性.
- By using the method of spherical harmonic, the boundedness of a kind of singular integral operator in product domains is given in this paper. 摘要用球调和的方法研究了一类乘积空间上奇异积分算子的有界性，所获得的结果给出了以往奇异积分算子有界性的应用。
- 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线裂纹问题的奇异积分方程。
- 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. 本文考虑上述核具Dini型条件的奇异积分算子T与BMO函数构成的交换子[b,T]的端点估计,证明了交换子[b,T]满足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:给出了一类奇异积分方程的一种近似解法，并对其误差进行了分析估计，同时验证了该方法的可行性.
- Compared with NAH based on the boundary element method (BEM), variable interpolation, numerical calculation and disposal of singular integral are avoided in this method. 建立了基于分布源边界点法的声散射场重建和预测理论模型。
- The edge internal branch crack problems for half-plane in antiplane elasticity are solved with complex potentials and singular integral equation approach. 利用复变函数和奇异积分方程方法,求解反平面弹性中半平面边缘内分叉裂纹问题。
- 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. 摘要本文对文[2]中的含两个卷积核的对偶型奇异积分方程给出了向量形式求解方法，并且给出了一般解的显式及相应的可解条件。
- Different kinds of integrations have to be evaluated in boundary element methods.The nearly singular integral is the most difficult one of them. 摘要边界元法通常需要采用数值方法解决单元内的各种积分问题，而准奇异积分是各种积分中数值处理最为困难的部分。
- 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. 在正则型的假设下;讨论了封闭曲线带复平移的奇异积分方程;并利用正则化方法得到方程解的表达式;所得结论补充了带平移的奇异积分方程的理论.
- This rough track will soon be a metalled road. 这条坑坑洼洼的路不久就要铺上碎石了。
- The ship pitched and tossed in the rough seas. 轮船在汹涌澎湃的大海中起伏颠簸。
- The difficulty of the treatment of the nearly singular integrals hindered applications of Boundary Element Method(BEM). 摘要几乎奇异积分的计算困难阻碍了边界元法的工程应用。
- This car really comes into its own on rough ground. 这辆汽车在颠簸的路上才真正显示出它独特的性能。
- The cart bumped along the rough road. 运货马车沿着崎岖不平的道路颠簸而行。
- The singular integration will affect the precision of the result while the Boundary Element Method (BEM) is used in calculating sound radiation. 边界元法应用于计算辐射声场时，由于奇异积分的存在，会影响到计算结果的精度。
