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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Comparing error estimators for Runge-Kutta methods


Authors: L. F. Shampine and H. A. Watts
Journal: Math. Comp. 25 (1971), 445-455
MSC: Primary 65L99
MathSciNet review: 0297138
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Abstract: A way is proposed to compare local error estimators. This is applied to the major estimators for fourth-order Runge-Kutta procedures. An estimator which leads to a production code 18


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1971-0297138-9
PII: S 0025-5718(1971)0297138-9
Keywords: Local error, error estimators, Runge-Kutta methods, step size adjustment, solution of differential equations
Article copyright: © Copyright 1971 American Mathematical Society