Convergence of iterative solutions to integral equations for sound radiation

Chertock, George

doi:10.1090/qam/99855

Author: George Chertock
Journal: Quart. Appl. Math. 26 (1968), 268-272
DOI: https://doi.org/10.1090/qam/99855
MathSciNet review: QAM99855
Full-text PDF Free Access

References | Additional Information

G. Chertock, Sound radiation from vibrating surfaces, J. Acoust. Soc. Amer. 36, 1305–1313 (1964)

Philip M. Morse and Herman Feshbach, Methods of theoretical physics. 2 volumes, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1953. MR 0059774

G. Wiarda, Integralgleichungen unter besonderen Berucksichtigung der Anwendungen, Leipzig, 1930

Hans Bückner, A special method of successive approximations for Fredholm integral equations, Duke Math. J. 15 (1948), 197–206. MR 25290

M. Schönberg, Sur la methode d’iteration de Wiarda el de Buckner pour la resolution de Fredholm, Acad. Roy. Belgique, Bull. C1. Sci. 37, 1941–1156 (1951); 38 and 154–167 (1952)

L. B. Rall, Error bounds for iterative solutions of Fredholm integral equations, Pacific J. Math. 5 (1955), 977–986. MR 79341
W. V. Petryshyn, On a general iterative method for the approximate solution of linear operator equations, Math. Comp. 17 (1963), 1–10. MR 163426, DOI https://doi.org/10.1090/S0025-5718-1963-0163426-5
Carson Flammer, Spheroidal wave functions, Stanford University Press, Stanford, California, 1957. MR 0089520

S. Hanish, The numerical computation of radiation impedance of zonal array on a hard prolate spheroidal baffle, Naval Research Laboratory Report 6108, July 1964

L. H. Chen and D. G. Schweikert, Sound radiation from an arbitrary body, J. Acoust. Soc. Amer. 35 (1963), 1626–1632. MR 155518, DOI https://doi.org/10.1121/1.1918770
Robert P. Banaugh and Werner Goldsmith, Diffraction of steady acoustic waves by surfaces of arbitrary shape, J. Acoust. Soc. Amer. 35 (1963), 1590–1601. MR 156548, DOI https://doi.org/10.1121/1.1918764

G. B. Brundrit, A solution to the problem of scalar scattering from a smooth bounded surface using integral equations, Quart. J. Mech. Appl. Math. 18, 473–489 (1965)

J. L. Hess and A. M. O. Smith, Calculation of non-lifting potential flow about arbitrary bodies, Douglas Aircraft Co. Report ES 4062, March 1962