Convergence of a semi-discrete finite difference scheme applied to the abstract Cauchy problem on a scale of Banach spaces

We show convergence of a finite difference scheme to solve the abstract Cauchy problem on a scale of Banach spaces which includes that for Kowalevskaya’s system. We show convergence of consistent difference schemes even for unstable cases.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Proceedings of the Japan Academy. Series A. Mathematical sciences 2011-07, Vol.87 (7), p.109-113
1. Verfasser:	Iso, Yuusuke
Format:	Artikel
Sprache:	eng
Schlagworte:	35A10 65J10 65M12 Cauchy-Kowalevskaya’s theorem finite difference scheme ill-posed problems multiple-precision arithmetic Numerical analysis for partial differential equations
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We show convergence of a finite difference scheme to solve the abstract Cauchy problem on a scale of Banach spaces which includes that for Kowalevskaya’s system. We show convergence of consistent difference schemes even for unstable cases.
ISSN:	0386-2194
DOI:	10.3792/pjaa.87.109