Quadrature and Runge-Kutta formulas |
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Authors: | L.F. Shampire |
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Affiliation: | Sandia Laboratories Albuquerque, MexicoNew Mexico 87115 |
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Abstract: | Error estimation and step size adjustment procedures for many high order Runge-Kutta methods fail dramatically when applied to an equation of the form y'(x)=f(x). A practical remedy is proposed and its use exemplified with the Fehlberg [7,8] formulas. The management of storage for this important example is also discussed. |
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