R. G. Selfridge
ABSTRACT
This paper describes a system of coding a general-purpose digital computer so that differential equations may be solved easily and rapidly. While originally developed for an IBM 701, the system is applicable to any of several large computers, in that at no stage is any reference to a particular machine needed.
The process is such that any engineer who has learned how to set up an analog computer should be able to code without hesitation, and should have very little difficulty even if no prior computer experience exists.
No attempt has been made to solve partial differential equations. The present system could be used, but would be inefficient in all but the simplest problems.
Recommendations
Monte Carlo Solution of Partial Differential Equations by Special Purpose Digital Computer
The discrete Monte Carlo method for the solution of partial differential equations has been studied theoretically and experimentally. A special purpose digital computer, the PDE machine, was designed and constructed from macromodules, and Monte Carlo ...
The simulation of partial differential equations on the digital differential analyzer
ACM '72: Proceedings of the ACM annual conference - Volume 2The 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 ...
The solution of partial differential equations by difference methods using the electronic differential analyzer
AIEE-IRE '53 (Western): Proceedings of the February 4-6, 1953, western computer conferencePartial differential equations can be approximated by systems of simultaneous ordinary differential equations by replacing one or more of the partial derivatives by the appropriate finite differences. The resulting systems of equations can sometimes be ...
Comments