NDLI: Error Analysis in the Computer Simulation of Dynamic Systems: Variational Aspects of the Problem

Content Provider	IEEE Xplore Digital Library
Author	Vichnevetsky, Robert
Copyright Year	1963
Abstract	Error analysis in the computer simulation of dynamic systems is fundamentally a variational problem. The computing errors are small variations of the computed solutions with respect to the exact solution of the differential equations being integrated. It is not surprising, therefore, that many of the mathematical tools used to perform error analysis in the computer simulation of dynamic systems are similar to those used in the variational or perturbational analysis of those systems themselves. Fundamental papers in this direction have been published previously [8], [9], [13]. The present paper, however derives the error-propagation equations in a more basic form, which makes it easier to apply such variational mathematical tools as Liapunoff's second method to analyze error stability, and Pontryagin's maximum principle to study ``worst-case'' errors in computation.
Starting Page	403
Ending Page	411
Page Count	9
File Size	1059186
File Format	PDF
ISSN	03677508
Volume Number	EC-16
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1967-08-01
Publisher Place	New York, U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Error analysis Computer simulation Computer errors Differential equations Computational modeling Analytical models Stability analysis Analog computers Integral equations Performance analysis simulation differential equations error analysis error propagation error stability hybrid computers
Content Type	Text
Resource Type	Article
Subject	Theoretical Computer Science Computational Theory and Mathematics Software Hardware and Architecture

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