Title :
On the Microprocessor Solution of Ordinary Differential Equations Using Integer Arithmetic
Author :
Bazelow, Alexander R. ; Raamot, Jaan
Author_Institution :
Data Communications Services, on contract assignment with the Technical Publication Department, Bell Laboratories
Abstract :
Integer arithmetic is a numerical method which exploits the architecture and instruction set of a microcomputer in a way analogous to that of computational techniques which utilize the capabilities of analog and digital computers. Exact solutions of phase plane trajectories for ordinary differential equations are obtained by coupling a pair of F space difference terms to a pair of bit slice microprocessors. This is an alternative to previously reported solution methods.
Keywords :
Algorithm; contour following; coupled microprocessors; differential equation; errors; incremental calculation; integer arithmetic; numerical method; Analog computers; Computer aided instruction; Computer aided manufacturing; Computer architecture; Computer errors; Difference equations; Differential equations; Digital arithmetic; Microcomputers; Microprocessors; Algorithm; contour following; coupled microprocessors; differential equation; errors; incremental calculation; integer arithmetic; numerical method;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1983.1676207