ORDVAC Solutions of the Dirichlet Problem

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ORDVAC Solutions of the Dirichlet Problem

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Journal of the ACM (JACM) archive
Volume 2 , Issue 3 (July 1955) table of contents

Pages: 137 - 161

Year of Publication: 1955

ISSN:0004-5411

Author

David M. Young

University of Maryland, College Park, Md

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 5, Downloads (12 Months): 27, 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	Allen, D.N. de G., Relaxalion rnethods McGraw-Hill, New York, 1954.
	2	Emmons, I-L, Numerical solution of partial differential equations, Quaro App. Math., vol. 2, (1945), pp. 173-195.
	3	Frankel, S., Convergence rates of iterative treatments of partial differential equations, Math. Tables and Other Aids to Computation, vol. 4, (1950), pp. 65-75.
	4	Geiringer, H., On the solution of systems of linear equations by certain iteration methods, Reissner Anniversary Volume, Ann Arbor, Michigan (1949) pp. 365-393.
	5	Gerschgorin, S., FehlerabscltzungflJrda8 Diflerenzenverfahren zur Lstmg partieller Dtfferentialgleichungen, Zeits.f. Angew. Matho u. Mech., vol. 10, (1930), pp. 373-382.
	6	Liebmann, H., Die anenSherte Ermittelunf harmonischer Funktionen und konferrner Abbtldungen, Sitz. der Math.-Natur. K1asse de Bayerischen Acad. der Wiss., Mchen, (1918), pp. 385-416.
	7	Milne, W.E., Numerical solution of differential equations, Wiley, New York, (1953).
	8	Richardson, L .F ., The approximate arithmetical solution by finite differences of physical problems involving differential equations, Phil Trans. Roy. Soc. London, voL 210A, (1910), pp. 307-357.
	9	Rosenbloom, P.C., The difference equation method for solving the Dtrichlet problem, Proceedings of a Symposium on the Construction and Applications of Conformal Maps, National Bureau of Standards Applied Mathematics Series 18, Washington, D.C., (1952).
	10	Seidel, L.p rber etn Verfahren die Gleichungen..., Abhandlungen der Bayeris chen Akademie, vol. 11, Drltte Abteilung, (1873), pp. 81-108.
	11	Shaw, F ., An introduction to relaxation methods, Dover, (1953).
	12	Shortley, G., and Weller, R., The numerical solution of Laplacets equation, Jour. Applied Phys., vol. 9, (1938), pp. 334-344.
	13	Snyder, F. and Livingston, H., Cod/ng of a Laplace boundary value problem for the UNIVAC, Math. Tables and Other Aids to Computation, vol. 3, (1949), pp. 341-350.
	14	Southwell, R. V., Relaxation methods in theoretical physics, Oxford Univ. Press, (1946).
	15	Walsh, J .L ., and Young, D.M., On the accuracy of the numerical solution of the Dtrichlet problem by finite differences, Jour. of Research of the National Bureau of Standards, voL 51, (1953), pp. 343-363,
	16	Walsh, J .L ., and Young, D.M., On the degree of convergence of solutions of difference equations to the solution of the Dirichlet problem, Jour. of Math. and Phys., vol. 33, (1954), pp. 80-93.
	17	Wasow, W., On the truncation error in the solution of Laplace' s equation by finite differences, Jour. of Research of the National Bureau of Standards, vol. 48, (1952), pp. 345-348.
	18	Young, D.M., Iterative methods for solving partial difference equations of elliptic type, Trans. Amer. Math. Soc., vol. 76, (1954), pp. 92-111.
	19	Young, D.M., On the solution of linear systems by iteration, to appear in the Proceedings of the Sixth Symposium in Applied Mathematics, Amer. Math. Soc., Santa Monica, (1953).
	20	Young, D.M., and Lereh, F ., The numerical solution of Laplace's equation on Ordvac, B. R. L. Memo. Report No. 708, Aberdeen Proving Ground, McL, (1953).
	21	Young, D.M., and Warlick, C.H., On the use of Rlchardson's method for the numerical solution of Laplace's equation on Ordvac, B. R. L. Memo. Report No. 707, Aberdeen Proving Ground, Md., (1953).

CITED BY 2

	H. E. Kulsrud, A practical technique for the determination of the optimum relaxation factor of the successive over-relaxation method, Communications of the ACM, v.4 n.4, p.184-187, April 1961
	G. Estrin , R. H. Fuller, Some applications for content-addressable memories, Proceedings of the November 12-14, 1963, fall joint computer conference, November 12-14, 1963, Las Vegas, Nevada