Bulletin of the American Mathematical Society

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Book Information:

Author: V. V. Ivanov
Title: The theory of approximate methods and their application to the numerical solution of singular integral equations
Additional book information: Noordhoff International Publishing, Schuttersveld 9, P. O. Box 26, Leyden, The Netherlands, xvii + 330 pp., price Dfl. 70,--.

N. I. Muskhelishvili, Singular integral equations, Wolters-Noordhoff Publishing, Groningen, 1972. Boundary problems of functions theory and their applications to mathematical physics; Revised translation from the Russian, edited by J. R. M. Radok; Reprinted. MR 0355494

Ilja Vekua, On the theory of singular integral equations, Bull. Acad. Sci. Georgian SSR [Soobščenia Akad. Nauk Gruzinskoi SSR] 3 (1942), 869–876 (Russian, with Georgian summary). MR 0010243

B. V. Hvedelidze, Regularization problem in the theory of integral equations with Cauchy kernel, Dokl. Akad. Nauk SSSR 140 (1961), 66–68 (Russian). MR 0142996

A. N. Tihonov, On the solution of ill-posed problems and the method of regularization, Dokl. Akad. Nauk SSSR 151 (1963), 501–504 (Russian). MR 0162377

A. N. Tihonov, On the regularization of ill-posed problems, Dokl. Akad. Nauk SSSR 153 (1963), 49–52 (Russian). MR 0162378

Joel N. Franklin, On Tikhonov’s method for ill-posed problems, Math. Comp. 28 (1974), 889–907. MR 375817, DOI 10.1090/S0025-5718-1974-0375817-5

I. Ts. Gokhberg and I. A. Fel′dman, Uravneniya v svertkakh i proektsionnye metody ikh resheniya, Izdat. “Nauka”, Moscow, 1971 (Russian). MR 0355674

1.

N. I. Mushelišvili, Singular integral equations, 2nd ed., Noordhoff, Groningen, 1953. MR 15, 434. MR 0355494

2.

I. N. Vekua, On the theory of singular integral equations, Soobšč. Akad. Nauk Gruzin. SSR 3 (1942), 869-876. MR 5, 268. MR 10243

3.

B. V. Hvedelidze, Regularization problem in the theory of integral equations with Cauchy kernel, Dokl. Akad. Nauk SSSR 140 (1961), 66-68 = Soviet Math. Dokl. 2 (1961), 1169. MR 26 #563. MR 142996

4.

A. N. Tihonov, Solution of incorrectly formulated problems and the regularization method, Dokl. Akad. Nauk SSSR 151 (1963), 501-504 = Soviet Math. Dokl. 4 (1963), 1035-1038. MR 28 #5576. MR 162377

5.

A. N. Tihonov, Regularization of incorrectly posed problems, Dokl Akad. Nauk SSSR 153 (1963), 49-52 = Soviet Math. Dokl. 4 (1963), 1624-1627. MR 28 #5577. MR 162378

6.

J. N. Franklin, On Tikhonov's method for ill-posed problems, Math. Comp. 28 (1974), 889-907. MR 51 #12007. MR 375817

7.

I. C. Gohberg and I. A. Fel'dman, Convolution equations and projection methods for their solution, "Nauka", Moscow, 1971; English transl., Transl. Math. Monographs, vol. 41, Amer. Math. Soc. Providence, R. I., 1974. MR 50 #8148; #8149. MR 355674