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Stability with large step sizes for multistep discretizations of stiff ordinary differential equationsOne-leg and multistep discretizations of variable-coefficient linear systems of ODEs having both slow and fast time scales are investigated analytically. The stability properties of these discretizations are obtained independent of ODE stiffness and compared. The results of numerical computations are presented in tables, and it is shown that for large step sizes the stability of one-leg methods is better than that of the corresponding linear multistep methods.
Document ID
19870035530
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Majda, George
(Brown University Providence, RI, United States)
Date Acquired
August 13, 2013
Publication Date
October 1, 1986
Publication Information
Publication: Mathematics of Computation
Volume: 47
ISSN: 0025-5718
Subject Category
Numerical Analysis
Accession Number
87A22804
Funding Number(s)
CONTRACT_GRANT: NAS1-17070
CONTRACT_GRANT: N00014-85-K-0620
Distribution Limits
Public
Copyright
Other

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