Equilibrium states of Runge Kutta schemes

Authors:
George Hall
Affiliations:
Department of Mathematics, The University, Manchester M13 9PL, England
Venue:
ACM Transactions on Mathematical Software (TOMS)
Year:
1985

Citing 1
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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.