Abstract

SOTOLONGO AGUIAR, Alina  and  JIMENEZ SOBRINO, Juan Carlos. Construction and study of local linearization adaptive codes for ordinary differential equations. Rev. Mat [online]. 2014, vol.21, n.1, pp.21-53. ISSN 1409-2433.

The aim of this work is to construct adaptive integrators for ordinary differential equations based on the Local Linearization method. Different orders of the involved Padé approximation are considered and their effect on the adaptive integrators is studied.

Keywords : numerical integrators; adaptive codes; local linearization method; Runge-Kutta method; Padé aproximation.

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