One more approach to the computation of Cauchy principal value integrals
Tài liệu tham khảo
Davis, 1975
Delves, 1967, The numerical evaluation of principal value integrals, Comput. J., Vol. 10, 389, 10.1093/comjnl/10.4.389
Elliott, 1979, Gauss type quadrature rules for Cauchy principal value integrals, Math. Comput., Vol. 33, 301, 10.1090/S0025-5718-1979-0514825-2
Gautschi, 1967, Numerical quadrature in the presence of a singularity, SIAM J. Numer. Anal., Vol. 4, 357, 10.1137/0704031
Hunter, 1972, Some Gauss-type formulae for the evaluation of Cauchy principal values of integrals, Numer. Math., Vol. 19, 419, 10.1007/BF01404924
Ioakimidis, 1976, General methods for the solution of crack problems in the theory of plane elasticity, doctoral thesis at the National Technical University of Athens, Athens
Ioakimidis, 1977, On the numerical evaluation of Cauchy principal value integrals, Rev. Roumaine Sci. Tech. Sér. Méc. Appl., Vol. 22, 803
Korneichuk, 1964, Quadrature formulae for singular integrals, 64
Kutt, 1958, The numerical evaluation of principal value integrals by finite-part integration, MTAC, Vol. 12, 205
Piessens, 1970, Numerical evaluation of Cauchy principal values of integrals, BIT, Vol. 10, 476, 10.1007/BF01935567
Rabinowitz, 1967, Gaussian integration in the presence of a singularity, SIAM J. Numer. Anal., Vol. 4, 191, 10.1137/0704018
Theocaris, 1977, Numerical Solution of Cauchy Type Singular Integral Equations, Pragm. Akad. Athenon (Trans. Acad. Athens), Vol. 4, 1
Theocaris, 1980, On the numerical evaluation of two dimensional principal value integrals, Intern. J. Numer. Methods Engrg., Vol. 15, 629, 10.1002/nme.1620150414