Application of Sobolev gradient to Poisson Boltzmann system: Sobolev inner products as preconditiong operators in the steepest descent minimization process - Couverture souple

Majid, Abdul; Sial, Sultan

 
9783659169403: Application of Sobolev gradient to Poisson Boltzmann system: Sobolev inner products as preconditiong operators in the steepest descent minimization process
Couverture souple
ISBN 10 : 3659169404 ISBN 13 : 9783659169403
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

This book offers an application of Sobolev gradient approach to Poisson Boltzmann system. A detailed description of Sobolev gradient method is given and its application is demonstrated on the Poisson Boltzmann system when there are large non-linearities and discontinuities in the coefficient functions. Poisson Boltzmann is a physical model that governs the electrostatic potential of macromolecules when immersed in solvent. It is shown that in some cases Sobolev gradient performs better in terms of efficiency than other existing fast methods such as multigrid and Newton's methods. The experiments' results are given in both finite element and finite difference settings. This book presents a fine blend of Functional Analysis, Numerical Analysis and Biophysics. It is the Ph.D. work that Dr. Abdul Majid completed under the supervision of Dr. Sultan Sial.

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

Présentation de l'éditeur

This book offers an application of Sobolev gradient approach to Poisson Boltzmann system. A detailed description of Sobolev gradient method is given and its application is demonstrated on the Poisson Boltzmann system when there are large non-linearities and discontinuities in the coefficient functions. Poisson Boltzmann is a physical model that governs the electrostatic potential of macromolecules when immersed in solvent. It is shown that in some cases Sobolev gradient performs better in terms of efficiency than other existing fast methods such as multigrid and Newton's methods. The experiments' results are given in both finite element and finite difference settings. This book presents a fine blend of Functional Analysis, Numerical Analysis and Biophysics. It is the Ph.D. work that Dr. Abdul Majid completed under the supervision of Dr. Sultan Sial.

Biographie de l'auteur

A Ph.D. in Applied Mathematics from Lahore University of Management Sciences(LUMS), Pakistan. He completed his M.Sc. in Pure Mathematics from KU Karachi and is currently working as an Assistant Professor in the Institute of Business Administration(IBA) Karachi, Pakistan. He has been a Research Associate at the Mathematics Dept. at LUMS.

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
2012
Langue
anglais
ISBN 10 
3659169404
ISBN 13 
9783659169403
Reliure
Broché
Nombre de pages
144
Coordonnées du fabricant
non disponible
Personne responsable
KreGa Onlinehandel GmbH
4950000000000
info@krega-onlinehandel.de

Birkenweg 31
Brakel
33034
Allemagne