On a class of finite difference methods for ill-posed Cauchy problems with noisy data

We consider a class of finite difference schemes for approximating solutions to ill-posed Cauchy problems for first order linear operator differential equations in a Hilbert space. Both the operator and the initial state in the problems are supposed to be noisy. Using an appropriate coordination bet...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Journal of inverse and ill-posed problems 2011-03, Vol.18 (9), p.959-977
Hauptverfasser:	Bakushinsky, Anatoly B., Kokurin, Mikhail Yu, Kokurin, Mikhail M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Cauchy problem Differential equations error estimates Errors Finite difference method Ill posed problems Ill-posed problem Inverse Linear operators Mathematical analysis operator differential equation
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!