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A method for exponential propagation of large systems of stiff nonlinear differential equationsA new time integrator for large, stiff systems of linear and nonlinear coupled differential equations is described. For linear systems, the method consists of forming a small (5-15-term) Krylov space using the Jacobian of the system and carrying out exact exponential propagation within this space. Nonlinear corrections are incorporated via a convolution integral formalism; the integral is evaluated via approximate Krylov methods as well. Gains in efficiency ranging from factors of 2 to 30 are demonstrated for several test problems as compared to a forward Euler scheme and to the integration package LSODE.
Document ID
19910026520
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Friesner, Richard A.
(Texas Univ. Austin, TX, United States)
Tuckerman, Laurette S.
(Texas Univ. Austin, TX, United States)
Dornblaser, Bright C.
(Texas Univ. Austin, TX, United States)
Russo, Thomas V.
(Texas, University Austin, United States)
Date Acquired
August 14, 2013
Publication Date
December 1, 1989
Publication Information
Publication: Journal of Scientific Computing
Volume: 4
ISSN: 0885-7474
Subject Category
Numerical Analysis
Accession Number
91A11143
Funding Number(s)
CONTRACT_GRANT: NSF DMS-89-01767
CONTRACT_GRANT: NSF PHY-82-17853
Distribution Limits
Public
Copyright
Other

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