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Equilibrium states of Runge Kutta schemes

Equilibrium states of Runge Kutta schemes Understanding the behavior of Runge-Kutta codes when stability considerations restrict the stepsize provides useful information for stiffness detection and other implementation details. Analysis of equilibrium states on test problems is presented which provides predictions and insights into this behavior. The implications for global error are also discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ACM Transactions on Mathematical Software (TOMS) Association for Computing Machinery

Equilibrium states of Runge Kutta schemes

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References (11)

Publisher
Association for Computing Machinery
Copyright
Copyright © 1985 by ACM Inc.
ISSN
0098-3500
DOI
10.1145/214408.214424
Publisher site
See Article on Publisher Site

Abstract

Understanding the behavior of Runge-Kutta codes when stability considerations restrict the stepsize provides useful information for stiffness detection and other implementation details. Analysis of equilibrium states on test problems is presented which provides predictions and insights into this behavior. The implications for global error are also discussed.

Journal

ACM Transactions on Mathematical Software (TOMS)Association for Computing Machinery

Published: Sep 1, 1985

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