Spectral Methods for Axisymmetric Domains (Series in applied mathematics N° 3)

• Date de parution : 01/04/2004
• Editeur : Elsevier
• EAN : 9782842990701
• Série : (-)
• Support : Papier

• Nombre de pages : 344
• Collection : (-)
• Genre : Sciences appliquées
• Thème : Sciences appliquées Mathématiques
• Prix littéraire(s) : (-)

This book is devoted to the mathematical and numerical analysis of partial differential equations set in a three-dimensional axisymmetric domain, that is, a domain generated by rotation of a bidimensional meridian domain around an axis. Thus a three-dimensional axisymmetric boundary value... Voir plus

This book is devoted to the mathematical and numerical analysis of partial differential equations set in a three-dimensional axisymmetric domain, that is, a domain generated by rotation of a bidimensional meridian domain around an axis. Thus a three-dimensional axisymmetric boundary value problem can be reduced to a countable family of two-dimensional equations, by expanding the data and unknowns in Fourier series, and an infinite-order approximation is obtained by truncating the Fourier series. Spectral methods for axisymmetric domains contains a deep analysis requiring precise and optimal parameter-dependent estimates, which is aimed at readers interested in mathematical and numerical analysis. In addition, due to the specificity of the geometry, an accurate discretization of a three-dimensional equation is obtained by solving a small number of two-dimensional systems, which is very efficient for many real-life problems and should be of great help for engineers.