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Approximate preservation of quadratic invariants by explicit Runge-Kutta methods

Calvo, M. ( ; Laburta Santamaría, María Pilar ( ; Montijano, Juan I. ( ; Rández, Luis (

Published in: 7, 2020047–2020048

Abstract: The aim of this note is to extend the analysis of B. Cano and J. M. Sanz-Serna (refer to fulltext for more details) on the global error behaviour of general one step methods in the numerical integration of a periodic orbit to the case that such a periodic orbit can be embedded into a family of periodic orbits.

Language: eng

Knowledge area: Matemática Aplicada
Department: Matemática Aplicada

Keyword(s): quadratic invariants ; Runge-Kutta methods


 Record created 2009-05-13, last modified 2012-01-23

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