Computer formulation of the equations of motion using tensor notation

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Computer formulation of the equations of motion using tensor notation

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Communications of the ACM archive
Volume 10 , Issue 9 (September 1967) table of contents

Pages: 543 - 548

Year of Publication: 1967

ISSN:0001-0782

Author

James C. Howard

Ames Research Center, NASA, Moffett Field, CA

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 5, Downloads (12 Months): 38, Citation Count: 4

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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	JIRAUCH, D. H., AND WESTERURCK, R. A. A use of digital computers for algebraic computation. NASA Tech. Doe. Rep. RTD-TDR-63-4200, March 1964.
	2	John J. Walton, Tensor calculations on the computer, Communications of the ACM, v.9 n.12, p.864, Dec. 1966 [doi>10.1145/365916.365932]
	3	John J. Walton, Tensor calculations on computer: appendix, Communications of the ACM, v.10 n.3, p.183-186, March 1967 [doi>10.1145/363162.363211]
	4	SOKOLNIKOFF, I. S. Tensor Analysis: Theory and Applications. John Wiley & Sons, Inc., London, 1951, p. 62.
	5	SPAIN, B. Tensor Calculus. Oliver and Boyd, Edinburgh, 1960, 3rd ed., p. 4.
	6	McCONNELL, A. J. Application of Tensor Analysis. Dover Publ., Inc., New York, 1957, p. 141.
	7	HOWARD, JAMES C. Theoretical study of orbital element control with potential applications to manned space missions. NASA TN D-2237, 1964.
	8	HOWARD, JAMES C. Application of intrinsic differentiation to orbital problems involving curvilinear coordinate systems. NASA TN D-2861, 1965.
	9	WEATHERBURN, G. E. Advanced Vector Analysis With Application to Mathematical Physics. G. Bell and Sons, Ltd., London, 1949, pp. 4, 8, 10.
	10	MARGENAN, H. AND MURPHY, G. M. The Mathematics of Physics and Chemistry. D. Van Nostrand Co., Inc., New York, pp. 5-7.
	11	KORN, G. A. AND KORN, T. M. Mathematical Handbook for Scientists and Engineers. McGraw-Hill Book Co., Inc., New York, 1961, p. 177.

CITED BY 4

	Jean E. Sammet, The beginning and development of FORMAC (FORmula MAnipulation Compiler), ACM SIGPLAN Notices, v.28 n.3, p.209-230, March 1993
	James C. Howard , Howard Tashjian, An algorithm for deriving the equations of mathematical physics by symbolic manipulation, Communications of the ACM, v.11 n.12, p.814-818, Dec. 1968
	James C. Howard, Relativistic applications of symbolic mathematical computation, ACM SIGSAM Bulletin
	Jean E. Sammet, The beginning and development of FORMAC: FORmula MAnipulation Compiler, History of programming languages---II, ACM Press, New York, NY, 1996