SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS OF THE FIRST KIND AND THEIR APPLICATIONS

Lu, 1987 Muskhelishvili, 1968 Erdogan, 1972, On the numerical solution of singular integral equations, Quart, Appl. Math., 29, 525, 10.1090/qam/408277 Krenk, 1975, On the use of the interpolation polynomial for solutions of singualr integral equations, Quart. Appl. Math., 4, 479, 10.1090/qam/474919 loakimidis, 1980, On convergence of two direct methods for solution of Cauchy type singular integral equations of the first kind, BIT, 20, 83, 10.1007/BF01933588 Theocaris, 1977, Numerical integration methods for the solution of singulsar integral equations, Quart. Appl. Math., 35, 173, 10.1090/qam/445873 Gerasoulis, 1981, On the existence of approximate solutions for singular integral equations of Cauchy type discretized by Gauss-Chebyshev quadrature formulae, BIT, 21, 377, 10.1007/BF01941474 Srivastav, 1983, On the polynomials interpolating approximate solutions of singular integral equatiions, Appl. Anal., 14, 275, 10.1080/00036818308839430 Ioakmidis, 1980, comparison between the direct and the classical numerical methods for the solution of Cauchy type singular integral equations, SIAM. J. Numer. Anal., 17, 115, 10.1137/0717012 Ioakimidis, 1981, On the nature interpolation formula for Cauchy type singular integral equations of the first kind, Computing, 16, 73, 10.1007/BF02243425 Du, 1985, On methods for numerical solutions for singular integral equations by interpolatory quadrature formulae (!), Acta Math. Sci., 5, 205 Du, 1985, On methods for numerical solutions for singular integral equations by interpolatory quadrature formulae (I), Acta Math. Sci., 5, 433 Du, 1987, On methods for numerical solutions for singular integral equations (I), Acta Math. Sci., 7, 169 Du, 1988, On methods for numerical solutions for singular integral equations (I), Acta Math. Sci., 8, 33 Du, 1987, Some systems of orthogonal polynomials associated with singular integral equations, Acta Math. Sci., 7, 85, 10.1016/S0252-9602(18)30491-0 Erdelyi, 1953 Du, 1985, The quadrature formulas for singular integral of higher order, Chinese Math. Ann., 6A, 625 Du, 1986, The quadrature formulas of the closed type and the transformed weight type for singular integrals of higher order, J. of Math., 6, 439 Du, 1985, On the numerical evaluation of singular integrals, J. of CentralChinaTeachers College, 2, 15 Ioakimidis, 1980, A remark on the Lobatto-Chebyshev method for the solution of singular integral equations and the evaluation of stress intensity factors, Serdica Buly Math., Publ., 6, 384 Lu, 1991, Nnumerical methods of solution for singular integral equations, Advances in Mathematics, 20, 278 Du, 1984, On the convergence of quadrature formula for singular integral of higher order, J. of WuhanUniversity (Natural Science Edition), 2, 17