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

✍ Scribed by E. Hairer; A. Murua; J. M. Sanz-Serna


Publisher
Springer Netherlands
Year
1994
Tongue
English
Weight
381 KB
Volume
34
Category
Article
ISSN
0006-3835

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Sixth-order symmetric and symplectic exp
✍ M. Calvo; J.M. Franco; J.I. Montijano; L. RΓ‘ndez πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 764 KB

The construction of exponentially fitted Runge-Kutta (EFRK) methods for the numerical integration of Hamiltonian systems with oscillatory solutions is considered. Based on the symplecticness, symmetry, and exponential fitting properties, two new threestage RK integrators of the Gauss type with fixed