The necessary and sufficient conditions for the qualified convergence of difference methods for approximate solution of the ill-posed Cauchy problem in a Banach space

We study properties of finite-difference methods for approximate solution of the ill-posed Cauchy problem for a homogeneous equation of the first order with a sectorial operator in a Banach space. We obtain the necessary and sufficient conditions for the qualified (with respect to the step of grid)...

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Veröffentlicht in:	Russian mathematics Jg. 53; H. 4; S. 45 - 48
1. Verfasser:	Klyuchev, V. V.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Heidelberg Allerton Press, Inc 01.04.2009
Schlagworte:	Mathematics Mathematics and Statistics sectorial condition finite-difference approximation methods sourcewise representation Banach space ill-posed problem Cauchy problem
ISSN:	1066-369X, 1934-810X
Online-Zugang:	Volltext
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