A Technique for the Numerical Solution of Certain Integral Equations of the First Kind

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A Technique for the Numerical Solution of Certain Integral Equations of the First Kind

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Journal of the ACM (JACM) archive
Volume 9 , Issue 1 (January 1962) table of contents

Pages: 84 - 97

Year of Publication: 1962

ISSN:0004-5411

Author

David L. Phillips

Argonne National Laboratory, Argonne, Illinois

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 23, Downloads (12 Months): 181, Citation Count: 14

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	CROUT, P. D. J. Math. Phys. 19 (1940), 34.
	2	CROUT, P. D.; Al) ttILI)Eg, AND, F. B. J. Math. Phys. 20 (1941), 310.
	3	DIXON, W. 1., AND AITKEN, J.H. Canad. J. Phys. 36 (1958), 1624.
	4	Fox, T.; AND GOODWlN, E.J. Philos. Trans. Roy. Soc. London. A 245 (1953), 501.
	5	GOLD, R.; AND SCOFIELD, N. E. Bull. Amer. Phys. Soc. 2 (1960), 276.
	6	KEISrEL, G. Proc. Roy. Soc. London. A 197 (1949), 160.
	7	NYSTRO, E. J. Acta Math. 54 (1930), 185.
	8	REiz, A. Ark. Mat. Astr. Fys. 29.4 No. 29 (1943).
	9	VAN DE I'IULsT, H. C. Bull. Astr. Inst. Netherlands 10 (1946), 75.
	10	YOUNG, A. Proc. Roy. Soc. London. A224 (1954), 561.

CITED BY 14

	S. Twomey, On the Numerical Solution of Fredholm Integral Equations of the First Kind by the Inversion of the Linear System Produced by Quadrature, Journal of the ACM (JACM), v.10 n.1, p.97-101, Jan. 1963
	Otto Neall Strand , Ed. R. Westwater, Statistical Estimation of the Numerical Solution of a Fredholm Integral Equation of the First Kind, Journal of the ACM (JACM), v.15 n.1, p.100-114, Jan. 1968
	Richard J. Hanson, Integral equations of immunology, Communications of the ACM, v.15 n.10, p.883-890, Oct. 1972
	S. C. Sahasrabudhe , A. D. Kulkarni, On Solving Fredholm Integral Equations of the First Kind, Journal of the ACM (JACM), v.24 n.4, p.624-629, Oct. 1977
	Alexander G. Ramm , Alexandra B. Smirnova, On deconvolution problems: numerical aspects, Journal of Computational and Applied Mathematics, v.176 n.2, p.445-460, 15 April 2005
	S. Morigi , L. Reichel , F. Sgallari , F. Zama, Iterative methods for ill-posed problems and semiconvergent sequences, Journal of Computational and Applied Mathematics, v.193 n.1, p.157-167, 15 August 2006
	Peter Mathé , Sergei V. Pereverzev, The discretized discrepancy principle under general source conditions, Journal of Complexity, v.22 n.3, p.371-381, June 2006
	George Pelekanos , Vassilios Sevroglou, Inverse scattering by penetrable objects in two-dimensional elastodynamics, Journal of Computational and Applied Mathematics, v.151 n.1, p.129-140, 1 February 2003
	A. D. Kulkarni, Neural nets for image restoration, Proceedings of the 1990 ACM annual conference on Cooperation, p.373-378, February 20-22, 1990, Washington, D.C., United States
	S. Morigi , L. Reichel , F. Sgallari , F. Zama, An iterative method for linear discrete ill-posed problems with box constraints, Journal of Computational and Applied Mathematics, v.198 n.2, p.505-520, 15 January 2007
	Alan M. Thompson , John C. Brown , Jim W. Kay , D. Michael Titterington, A Study of Methods of Choosing the Smoothing Parameter in Image Restoration by Regularization, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.13 n.4, p.326-339, April 1991
	M. Heyouni , H. Sadok, A new implementation of the CMRH method for solving dense linear systems, Journal of Computational and Applied Mathematics, v.213 n.2, p.387-399, April, 2008
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	G. Landi, The Lagrange method for the regularization of discrete ill-posed problems, Computational Optimization and Applications, v.39 n.3, p.347-368, April 2008