Scientific article
English

The non-existence of symplectic multi-derivative Runge-Kutta methods

Published inBIT, vol. 34, no. 1, p. 80-87
Publication date1994
Abstract

A sufficient condition for the symplecticness ofq-derivative Runge-Kutta methods has been derived by F. M. Lasagni. In the present note we prove that this condition can only be satisfied for methods with q<=1, i.e., for standard Runge-Kutta methods. We further show that the conditions of Lasagni are also necessary for symplecticness so that no symplectic multi-derivative Runge-Kutta method can exist.

Keywords
  • Multi-derivative Runge-Kutta methods
  • Symplectic methods
  • Irreducible methods
Citation (ISO format)
HAIRER, Ernst, MURUA, Ander, SANZ-SERNA, Jesus Maria. The non-existence of symplectic multi-derivative Runge-Kutta methods. In: BIT, 1994, vol. 34, n° 1, p. 80–87.
Main files (1)
Article (Published version)
accessLevelRestricted
Identifiers
  • PID : unige:12479
Journal ISSN0006-3835
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