The article introduces singular integral operators, discretization matrices and quadrature operators of singular integral equations (SIEs) with Hilbert kernel. It utilizes collocation methods for the unified framework of SIE with Hilbert kernel numerical solutions. It says that the results facilitate ...
In this paper the qualocation method (which includes the collocation method as a special case) is applied to index-zero singular integral equations with piecewise-continuous coefficients, using continuous splines defined on a quasi-uniform mesh. Because
Singular Integral Equations' Methods for the Analysis of Microwave Structures 作者: Nickelson, Liudmila 页数: 330定价: $ 194.36ISBN: 9789067644105豆瓣评分 目前无人评价 评价: 写笔记 写书评 加入购书单 分享到 推荐 内容简介 ··· This book describes the solution of electrodynamic boundary problems...
By the methods of singular integral equations, we construct a mathematical model of the antiplane deformation of a body containing thin ribbonlike elastic inclusions. In the model, we take into account the possibility of longitudinal deformation of the inclusion in two mutually perpendicular planes an...
Approximate solution of a class of singular integral equations of second kind For a hypersingular integral equation of the second kind, this method avoids the complex function-theoretic method and produces the known exact solution to... BN Mandal,GH Bera - 《Journal of Computational & Applied Mat...
The methods of complex potentials, singular integral equations and integral transformations in a series of problems for the reinforcement of cracked platesThe methods of complex potentials, singular integral equations and integral transformations in a series of problems for the reinforcement of cracked plat...
A Method for Accelerating the Iterative Solution of a Class of Fredholm Integral Equations R. C. Allen, G. M. Wing Pages 59-81 The Approximate Solution of Singular Integral Equations D. Elliott Pages 83-107 Numerical Solution of a Class of Integral Equations Arising in Two-Dimensional Aerodynam...
In this report, the up-to-date developments on various quadrature formulas of singular integrals and the numerical methods of solutions for the first and the second kinds singular integral equations with Cauchy kernel and Hilbert kernel are briefly presented. The polynomial interpolations and collocatio...
This chapter presents two different numerical methods for solving a general system of hypersingular integral equations in linear crack problems. The first method approximates the unknown crack opening displacements globally over each crack by using Chebyshev polynomials of the second kind. In the second...
Integral transform methods I. N. Sneddon Pages 315-367 Numerical solution of singular integral equations F. Erdogan, G. D. Gupta, T. S. Cook Pages 368-425 Applications of the finite element method to the calculations of stress intensity factors ...