On an Alternating Direction Method for Solving the Plate Problem with Mixed Boundary Conditions

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On an Alternating Direction Method for Solving the Plate Problem with Mixed Boundary Conditions

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Journal of the ACM (JACM) archive
Volume 7 , Issue 3 (July 1960) table of contents

Pages: 264 - 273

Year of Publication: 1960

ISSN:0004-5411

Authors

Samuel D. Conte	Space Technology Laboratories, Los Angeles, California
Ralph T. Dames	Ramo-Wooldridge Corp., Los Angeles, California

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 2, Downloads (12 Months): 37, Citation Count: 7

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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	BIRKHOFF, G., AND VARGA, R. S., Implicit alternating direction methods. Report WAPD- T-650, Bettis Plant, Westinghouse Electric Corporation, Pittsburgh, Pa., October, 1957.
	2	BODEWI6, E., Matrix Calculus. Interscience Publishers Inc., New York; 1956.
	3	CONTE, S. D., AND DAMES, R. T., All alternating direction method for solving the biharmonic equation. Math. Tables Aids Comput. 12 (1958), 198---205.
	4	DOUGLAS, J., JR., AND RACHFORD, H. H., JR., On the numerical solution of heat conduction problems in two and three space variables. Trans. Amer. Math. Soc. 8Z (1956), 421-439.
	5	HXLD~BRAND, F. B., Methods of Applied Mathematics. Prentice-Hall, Inc., Englewood Cliffs, N. J., 1956.
	6	WAC~SP~ESS, E. L., CURE, a generalized two-space dimension multi-group code for the IBM 704. KAPL-1724, AEC R & D Report.

CITED BY 7

	D. Greenspan , D. Schultz, Fast finite-difference solution of biharmonic problems, Communications of the ACM, v.15 n.5, p.347-350, May 1972
	Louis W. Ehrlich, Iterative vs. a directive method for solving fourth order elliptic difference equations, Proceedings of the 1966 21st national conference, p.29-35, January 1966
	T. P. Witelski , M. Bowen, ADI schemes for higher-order nonlinear diffusion equations, Applied Numerical Mathematics, v.45 n.2-3, p.331-351, May 2003
	John B. Greer , Andrea L. Bertozzi , Guillermo Sapiro, Fourth order partial differential equations on general geometries, Journal of Computational Physics, v.216 n.1, p.216-246, 20 July 2006
	X. -H. Tang , C. I. Christov, Non-linear waves of the steady natural convection in a vertical fluid layer: A numerical approach, Mathematics and Computers in Simulation, v.74 n.2-3, p.203-213, March, 2007
	C. I. Christov , T. T. Marinov , R. S. Marinova, Variational imbedding approach to coefficient identification in an elliptic partial differential equation, International Journal of Computational Science and Engineering, v.3 n.4, p.277-286, May 2007
	X-H. Tang , C. I. Christov, A multiunit ADI scheme for biharmonic equation with accelerated convergence, International Journal of Computational Science and Engineering, v.3 n.4, p.295-304, May 2007