𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Symplectic exponentially-fitted four-stage Runge–Kutta methods of the Gauss type

✍ Scribed by Guido Vanden Berghe; Marnix Van Daele


Publisher
Springer US
Year
2010
Tongue
English
Weight
356 KB
Volume
56
Category
Article
ISSN
1017-1398

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


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

A symplectic exponentially fitted modifi
✍ Hans Van de Vyver 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 244 KB

A symplectic exponentially fitted modified Runge-Kutta-Nystro ¨m method is derived in this paper. It is a two-stage second-order method with FSAL-property. An application to some well known orbital problems shows the properties of the developed method.

An exponentially-fitted Runge-Kutta meth
✍ T.E. Simos 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 335 KB

An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems wi',h periodic or oscillating solutions is developed in this paper. Numerical and theoretical results obtained for several well known problems show the efficiency of the new method. (~