Algorithm 629

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Algorithm 629: An integral equation program for Laplace's equation in three dimensions

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 11 , Issue 2 (June 1985) table of contents

Pages: 85 - 96

Year of Publication: 1985

ISSN:0098-3500

Author

Kendall E. Atkinson

Mathematics Department, University of Iowa, Iowa City, IA

Publisher

ACM New York, NY, USA

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appendices and supplements references index terms collaborative colleagues

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APPENDICES and SUPPLEMENTS

LAPLAC (629.gz) (67 KB)

integral equation techniques: interior Dirichlet problem for Laplace's equation on a general three dimensional domain
Gams: I2b1a1b

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	ABRAMOWlTZ, M., AND STEGUN, I., EDS. Handbook of Mathematical Functions. National Bureau of Standards, Washington, D.C., 1964.
	2	ATKINSON, K. The solution of non-linear integral equations. Numer. Math. 10 (1967), 117-124.
	3	ATKINSON, K. A Survey of Numerical Methods for the Solution of Fredholm Integral Equations of the Second Kind. SIAM, Philadelphia, Pa., 1976.
	4	ATKINSON, K. Introduction to Numerical Analysis. John Wiley, New York, 1978.
	5	ATKINSON, K. The numerical solution of Laplace's equation in three dimensions--Ii. In Numerical Treatment of Integral Equations, J. Albrecht and L. Collatz, Eds. Birkhauser Verlag, Basel, 1980, pp. 1-23.
	6	ATKINSON, K. Numerical integration on the sphere, J. Austral. Math. Soc. (Series B) 23 (1982), 332-347.
	7	ATKINSON, K. The numerical solution of Laplace's equations in three dimensions. SIAM J. Numer. Anal. 19 (1982), 263-274.
	8	ATKINSON, K. The numerical evaluation of particular solutions for Poisson's equation. IMA: Numer. Anal. (1985), to be published.
	9	GUNTER, N. Potential Theory. Ungar Publishing, New York, 1967.
	10	MACROBErtT, T. Spherical Harmonics, 3rd ed. Pergamon Press, Elmsford, N.Y., 1967.
	11	ROBINSON, I. AND DE DONCKER, E. Algorithm 45: Automatic computation of improper integrals over a bounded or unbounded planar region. Comput. 27 (1981), 253-284.