Introduction to numerical analysis: 2nd edition
Introduction to numerical analysis: 2nd edition
A computer analytic method for solving differential equations
IRE-AIEE-ACM '59 (Eastern) Papers presented at the December 1-3, 1959, eastern joint IRE-AIEE-ACM computer conference
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This paper surveys some numerical methods applicable in obtaining the distribution of performance parameters associated with the transient behavior of switching circuits. The methods considered are: (1) Monte Carlo, in which sample circuits are simulated on the IBM 704 and their performance computed and tabulated. (2) Parameter sensitivity methods, including propagation of error, in which the first and second moments of the output distribution are estimated from parameter sensitivities; and a method using the total differential of the performance parameter to estimate the deviation of circuit behavior from its component deviations. (3) A surface fifting method, in which there is developed a formula for delay time in terms of circuit component values. Each method is used to determine the delay time of a simple system. Their merits and drawbacks are compared and discussed, and estimates are given of the IBM 704 machine time necessary for implementation on a ten-transistor switching circuit.