George Forbes
ABSTRACT
The mathematical analog involved in the Digital Differential Analyzer, (Digital Analog Computer), requires a different approach to partial differential equations. The usual boundary and initial condition problem becomes a selection of auxiliary partial differential equations and of point starting values for the various partial derivatives of the dependent variable.
The DDA System is not suited for the usual classical method of condition definition. In some special cases the classical approach may be made more general because the ordinary differential equations need not be solved, In such case, assumed separability may be an order higher.
This paper discusses these problems and describes the nature of the generalities involved. It is pointed out that the Digital Differential Analyzer can “solve” the simultaneous case of the common partial differential equations.
- 1.Forbes, G.F., Digital Differential Analyzers, 4th Edition, 1957, 200 pages. Published by the author at 15415 Lemarsh Street, Mission Hills, California.Google Scholar
- 2.Forbes, G.F., The System Analyzer, Vol I, Number 1, 72 pages, 1961, see above.Google Scholar
- 3.Handel, P. von (ed.) Electronic Computers. 1961, Springer-Verlag Chapter IV, pages 139-209 is an excellent discussion of Digital Differential Analyzers by Hans W. Gschwind.Google Scholar
- 4.Mayorov, F.V., Electronic Digital Integrating Computers—Digital Differential Analyzers. Translated from the Russian by Scriptor Technica, Inc. (Dr. Jackan Chu, ed.) American Elservier Publishing Co. (New York). Originally published in Moscow in 1962. 375 pages.Google Scholar
- 5.Forbes, G.F., The System Simulator (Digital Differential Analyzers). Unpublished, available in limited amount from Guidance and Control Systems Division, Litton Industries, 5500 Canoga Avenue, Woodland Hills, California. 44 pages. This is a simplified discussion of DDAs, Publication Number 3731A.Google Scholar
- 6.Forbes, G.F., An Engineering Simulator, Proceedings of the ACM National Meeting, 1966. Pages 241-255. This is a description of the program permitting use of the IBM 7040 as a DDA. Google ScholarDigital Library
Index Terms
- The simulation of partial differential equations on the digital differential analyzer
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