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math.NA2012
Locally Linearized Runge Kutta method of Dormand and Prince
Juan Carlos Jimenez, Alina Sotolongo, Jose Miguel Sanchez-Bornot
In this paper, the effect that produces the local linearization of the embedded Runge-Kutta formulas of Dormand and Prince for initial value problems is studied. For this, embedded…
math.NA2012
Local Linearization-Runge Kutta Methods: a class of A-stable explicit integrators for dynamical systems
H. de la Cruz, R. J. Biscay, J. C. Jimenez +1
A new approach for the construction of high order A-stable explicit integrators for ordinary differential equations (ODEs) is theoretically studied. Basically, the integrators are…