Round-Off Error and Exceptional Behavior Analysis of Explicit Runge-Kutta Methods

Numerical integration schemes are mandatory to understand complex behaviors of dynamical systems described by ordinary differential equations. Implementation of these numerical methods involve floating-point computations and propagation of round-off errors. This paper presents a new fine-grained ana...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	IEEE transactions on computers 2020-12, Vol.69 (12), p.1745-1756
Hauptverfasser:	Boldo, Sylvie, Faissole, Florian, Chapoutot, Alexandre
Format:	Artikel
Sprache:	eng
Schlagworte:	Biological system modeling Computer Arithmetic Computer Science Differential equations Error analysis Floating point arithmetic linear stability Mathematical model Numerical integration Numerical methods Numerical stability Ordinary differential equations Overflow Round-off error Roundoff error Runge-Kutta method Stability Stability criteria underflow
Online-Zugang:	Volltext bestellen
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Schreiben Sie den ersten Kommentar!