Articles liés à On the Numerical Solutions of Ill-Posed Problems

On the Numerical Solutions of Ill-Posed Problems - Couverture souple

Nagy, A. M.

 
9783659310409: On the Numerical Solutions of Ill-Posed Problems
Couverture souple
ISBN 10 : 3659310409 ISBN 13 : 9783659310409
Editeur : LAP LAMBERT Academic Publishing, 2013

Synopsis

Ill-posed problem has been steadily and surely gaining popularity in mathematical literature for many years. It occurs in a wide variety of applications such as geophysics, astrometry, mathematical biology, and image restoration. The notion of a well-posed problem and ill-posed problem goes back to a famous paper by Jacques Hadamard published in 1902. In many science and engineering applications it is necessary to compute an approximate solution of the linear system. In this work, we present and analyze a recent method called dynamical systems method (DSM) for a stable solution of linear ill-posed problems. Also, we present one of the traditional stable method for solving linear ill-posed problems, this method called Tikhonov or variational regularization method. Comparison between the two methods is one of the main goals of this book. This book is highly recommended to both postgraduate students and researchers in wide variety of applications.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Ill-posed problem has been steadily and surely gaining popularity in mathematical literature for many years. It occurs in a wide variety of applications such as geophysics, astrometry, mathematical biology, and image restoration. The notion of a well-posed problem and ill-posed problem goes back to a famous paper by Jacques Hadamard published in 1902. In many science and engineering applications it is necessary to compute an approximate solution of the linear system. In this work, we present and analyze a recent method called dynamical systems method (DSM) for a stable solution of linear ill-posed problems. Also, we present one of the traditional stable method for solving linear ill-posed problems, this method called Tikhonov or variational regularization method. Comparison between the two methods is one of the main goals of this book. This book is highly recommended to both postgraduate students and researchers in wide variety of applications.

Biographie de l'auteur

Dr. Abdelhameed Mohamed Abdelhameed Nagy Abdo. Lecturer at Department of Mathematics, Faculty of Science, Benha University , Egypt. Dr. Abdelhameed has obtained his PhD in Numerical Analysis in 2012 from Bari University, Italy.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2013
Langue
anglais
ISBN 10 
3659310409
ISBN 13 
9783659310409
Reliure
Broché
Nombre de pages
80
Coordonnées du fabricant
non disponible
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