Articles liés à Numerical Analysis of Transport Equations Motivated...

Numerical Analysis of Transport Equations Motivated by Neuroscience: Numerical study of transport equations arising in neuronal variability - Couverture souple

Singh, Paramjeet

 
9783659286971: Numerical Analysis of Transport Equations Motivated by Neuroscience: Numerical study of transport equations arising in neuronal variability
Couverture souple
ISBN 10 : 3659286974 ISBN 13 : 9783659286971
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

This book provides a unified and accessible introduction to the numerical analysis of the first-order hyperbolic partial differential (transport) equations having point-wise delay as well as advance. For model problem in neuronal transport, which leads to advection equations with point-wise delay, the numerical methods have been derived and analyzed. Finite difference and finite volume approaches are used to develop the numerical techniques. Analysis is performed for the mathematical properties of the numerical approximations like estimates for stability and convergence. This book is developed as the result of the doctoral thesis of the author. The book is intended for a wide audience, and will be of great use both to numerical analysis and computational researcher in a variety of applications.

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

Présentation de l'éditeur

This book provides a unified and accessible introduction to the numerical analysis of the first-order hyperbolic partial differential (transport) equations having point-wise delay as well as advance. For model problem in neuronal transport, which leads to advection equations with point-wise delay, the numerical methods have been derived and analyzed. Finite difference and finite volume approaches are used to develop the numerical techniques. Analysis is performed for the mathematical properties of the numerical approximations like estimates for stability and convergence. This book is developed as the result of the doctoral thesis of the author. The book is intended for a wide audience, and will be of great use both to numerical analysis and computational researcher in a variety of applications.

Biographie de l'auteur

Dr. Paramjeet Singh has obtained his PhD degree in Mathematics from Panjab University at Chandigarh in India. He is the author of several article published in reputed journals. The author is a Postdoctoral Researcher at the University of Cape Town in south Africa. His research interests include numerical analysis and partial differential equations.

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 
3659286974
ISBN 13 
9783659286971
Reliure
Broché
Nombre de pages
132
Coordonnées du fabricant
non disponible
Personne responsable
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