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Error behavior of multistep methods applied to unstable differential systemsThe problem of modeling a dynamic system described by a system of ordinary differential equations which has unstable components for limited periods of time is discussed. It is shown that the global error in a multistep numerical method is the solution to a difference equation initial value problem, and the approximate solution is given for several popular multistep integration formulas. Inspection of the solution leads to the formulation of four criteria for integrators appropriate to unstable problems. A sample problem is solved numerically using three popular formulas and two different stepsizes to illustrate the appropriateness of the criteria.
Document ID
19770026997
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Brown, R. L.
(Virginia Univ. Charlottesville, VA, United States)
Date Acquired
September 3, 2013
Publication Date
January 1, 1977
Subject Category
Systems Analysis
Report/Patent Number
NASA-CR-155169
Accession Number
77N33941
Funding Number(s)
CONTRACT_GRANT: NSG-1335
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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