Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods

Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods

In this note, simplecticity conditions easy to handle for constructing symplectic Runge-Kutta-Nyström methods fitted to trigonometric functions are given. These conditions generalize that of [1] when the frequencies tends to zero.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mathematical and computer modelling 2005-10, Vol.42 (7), p.873-876
Hauptverfasser: Tocino, A., Vigo-Aguiar, J.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical solutions ODEs
Ordinary differential equations
Runge-Kutta methods
Sciences and techniques of general use
Symplectic integrators
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this note, simplecticity conditions easy to handle for constructing symplectic Runge-Kutta-Nyström methods fitted to trigonometric functions are given. These conditions generalize that of [1] when the frequencies tends to zero.
ISSN:0895-7177
1872-9479
DOI:10.1016/j.mcm.2005.09.015