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On high order symmetric and symplectic trigonometrically fitted Runge-Kutta methods with

✍ Scribed by M. Calvo; J. M. Franco; J. I. Montijano; L. Rández


Publisher
Springer Netherlands
Year
2010
Tongue
English
Weight
505 KB
Volume
50
Category
Article
ISSN
0006-3835

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Sixth-order symmetric and symplectic exp
✍ M. Calvo; J.M. Franco; J.I. Montijano; L. Rández 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 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