A Modular Organization of a Digital Integrating Computer for the Numerical Solution of Differential Equations
STANFORD UNIV CA STANFORD ELECTRONICS LABS
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The automatic solution of differential equations may be accomplished by either modeling the equation on an analog computer or by solving it numerically on a general-purpose computer. Both methods are cumbersome and have the disadvantages of low accuracy and slow speed, respectively. The development of the digital differential analyzer promised a machine with improved accuracy and speed. The difficulty in programming and the reliance on complex switching networks or patch boards brought about by ever-increasing parallelism, however, have prevented the full exploitation of the DDA capabilities. A modular machine structure employing serial-parallel processing and using incremental integration as its basic algorithm has been developed. The system consists of self- contained modules which may be operated independently or may be operated independently or may be combined to solve numerically one or more differential equations. Modularity and serial-parallel processing simplify the communication methods within and between modules to permit automatic programming the hardware requirements are reduced as in serial processing, but the iteration time cannot exceed a fixed maximum regardless of the problem.
- Numerical Mathematics
- Computer Programming and Software
- Computer Hardware