An Automatic Program for Linear Fredholm Integral Equations of the Second Kind

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An Automatic Program for Linear Fredholm Integral Equations of the Second Kind

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 2 , Issue 2 (June 1976) table of contents

Pages: 154 - 171

Year of Publication: 1976

ISSN:0098-3500

Author

Kendall Atkinson

Department of Mathematics, University of Iowa, Iowa City, IA

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 8, Downloads (12 Months): 77, Citation Count: 2

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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	ANSELONE, P.M. Colleetwely Compact Operator Approximation Theory. Prentice-Hall, Englewood Cliffs, N. j., 1971.
	2	ATKINSON, K.E. The numerical solution of Fredholm integral equations of the second kind. SIAM J. Numer. Anal. ~ (1967), 337-348.
	3	ATKINSON, K.E. A Survey of Numerical Methods for the Solution of Fredholm Integral Equations of the Second Kind. SIAM Publ., Philadelphia, Pa. (SIAM Monograph), 1976.
	4	Kendall Atkinson, Algorithm 503: An Automatic Program for Fredholm Integral Equations of the Second Kind [D5], ACM Transactions on Mathematical Software (TOMS), v.2 n.2, p.196-199, June 1976 [doi>10.1145/355681.355689]
	5	ATKINSON, K.E. Iterative variants of the Nystr(im method for the numerical solution of integral equations. Numer. Math. ~2 (1973), 17-31.
	6	ATKINSON, K.E. The numerical solution of Fredholm integral equations of the second kind with singular kernels. Numer. Math. 19 (1972), 248-259.
	7	BRAKHAGE, H. t~ber dm numensche Behandlung von Integralgleichungen nach der Quadraturformel methode. Numer. Math. 2 (1960), 183-196.
	8	DELVES, L.M. An automatic Ritz-Galerkm procedure for the numerical solution of hnear Fredholm integral equations of the second kind. Submitted for publication.
	9	DELVES, L.M., AND WALSH, J., EDS. Numerical Solutwn of Integral Equations. Clarendon Press, New York, 1974.
	10	ELLIOT, D., AND WARNS, W. An algorithm for the numerical solution of hnear integral equations. Int. Comput. Cent. Bull. 6 (1967), 207-224.
	11	NOBLE, B. A bibhography on methods for solving integral equations, author listing and subject hstmg. Tech. Reps. 1176 and 1177, Math. Res. Cent., U. of Wisconsin, Ma&son, Wls., 1971.
	12	John Rischard Rice, Mathematical Software, Academic Press, Inc., Orlando, FL, 1971
	13	Riwsz, F., ANI) Sz.-NAQr, B. Functwnal Analysis, 2nd ed., translated by L.F. Boron. Ungar, New York, 1955.
	14	STROUD, A., AND SECRWST, D. Gaussian Quadrature Formulas. Prentice-Hall, Englewood Cliffs, N.J., 1966.

CITED BY 2

	Kendall Atkinson, Algorithm 503: An Automatic Program for Fredholm Integral Equations of the Second Kind [D5], ACM Transactions on Mathematical Software (TOMS), v.2 n.2, p.196-199, June 1976
	Kendall E. Atkinson , Lawrence F. Shampine, Algorithm 876: Solving Fredholm Integral Equations of the Second Kind in Matlab, ACM Transactions on Mathematical Software (TOMS), v.34 n.4, p.1-20, July 2008