Partial Differential Equations with Numerical Methods - Couverture souple

Larsson, Stig

Couverture souple

ISBN 10 : 3540887059 ISBN 13 : 9783540887058

Editeur : Springer, 2008

Synopsis

Book by Larsson Stig Thomee Vidar

A propos du livre

Présentation de l'éditeur

The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the two-point boundary value problem for ordinary differential equations. Similarly, the chapters on time-dependent problems are preceded by a chapter on the initial-value problem for ordinary differential equations. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. The required background on linear functional analysis and Sobolev spaces is reviewed in an appendix. The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering.

Présentation de l'éditeur

This softcover reprint of a very popular book presents a very well written and systematic introduction to the finite difference and finite element methods for the numerical solution of the basic types of linear partial differential equations (PDE).

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2008
• ISBN 10: 3540887059
• ISBN 13: 9783540887058
• Reliure: Broché
• Langue: anglais
• Numéro d'édition: 1
• Nombre de pages: 276