𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Revised exponentially fitted Runge–Kutta–Nyström methods

✍ Scribed by D’Ambrosio, R.; Paternoster, B.; Santomauro, G.

Book ID
121460280
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
144 KB
Volume
30
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Gauss-Runge-Kutta-Nyström methods
Gauss-Runge-Kutta-Nyström methods
✍ Christopher Burnton; Rudolf Scherer 📂 Article 📅 1998 🏛 Springer Netherlands 🌐 English ⚖ 417 KB
A phase-fitted collocation-based Runge–K
A phase-fitted collocation-based Runge–Kutta–Nyström method
✍ B. Paternoster 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 275 KB

We consider collocation-based Runge-Kutta-Nyström methods with symmetric points and derive a three-stage method which results exact in phase for second order linear ODEs having a periodic or an oscillatory solution. We assume that the dominant frequency k can be estimated in advance; then the result

Structure preservation of exponentially
Structure preservation of exponentially fitted Runge–Kutta methods
✍ M. Calvo; J.M. Franco; J.I. Montijano; L. Rández 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 227 KB

The preservation of some structure properties of the flow of differential systems by numerical exponentially fitted Runge-Kutta (EFRK) methods is considered. A complete characterisation of EFRK methods that preserve linear or quadratic invariants is given and, following the approach of Bochev and Sc