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On the stability of numerical integration routines for ordinary differential equations.Numerical integration methods for the solution of initial value problems for ordinary vector differential equations may be modelled as discrete time feedback systems. The stability criteria discovered in modern control theory are applied to these systems and criteria involving the routine, the step size and the differential equation are derived. Linear multistep, Runge-Kutta, and predictor-corrector methods are all investigated.
Document ID
19730044595
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Glover, K.
Willems, J. C.
(MIT Cambridge, Mass., United States)
Date Acquired
August 7, 2013
Publication Date
April 1, 1973
Publication Information
Publication: Institute of Mathematics and Its Applications
Subject Category
Mathematics
Accession Number
73A29397
Funding Number(s)
CONTRACT_GRANT: NGL-22-009-124
Distribution Limits
Public
Copyright
Other

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