Accession Number:

AD0607679

Title:

DESIGN OF A SPECIAL PURPOSE DIGITAL SYSTEM.

Descriptive Note:

Master's thesis,

Corporate Author:

MASSACHUSETTS INST OF TECH CAMBRIDGE INSTRUMENTATION LAB

Personal Author(s):

• Green,Alan Irwin

Report Date:

1958-01-01

Pagination or Media Count:

100.0

Abstract:

Design specifications are developed for a special purpose digital system required to perform a real time solution of three simultaneous first order linear differential equations with time varying coefficients. The numerical integration procedure followed is based on Taylor series expansions of the variables to be integrated. A program of typical computer instructions is proposed for the solution. An error analysis is performed to determine the parameters necessary to characterize completely the numerical solution and the computer. It is found that a real time solution can be achieved if a sufficient number of terms is kept in the Taylor series expansions. This is feasible if the input data are sufficiently accurate. Author

Descriptors:

• DIFFERENTIAL EQUATIONS
• DIGITAL COMPUTERS
• SIMULTANEOUS EQUATIONS
• LINEAR SYSTEMS
• NUMERICAL INTEGRATION
• TAYLORS SERIES
• EQUATIONS
• FUNCTIONS(MATHEMATICS)
• COMPUTER PROGRAMMING
• REAL TIME
• DIGITAL SYSTEMS
• ERRORS

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE