Introduction to Partial Differential Equations: A Computational Approach (Texts in Applied Mathematics)

Tveito, Aslak; Winther, Ragnar

ISBN 10: 0387983279 / ISBN 13: 9780387983271

Edité par Springer-Verlag New York Inc., 1998

Ancien livre de bibliothèque. Edition 1998. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Very good. Former library book. Edition 1998. Ammareal gives back up to 15% of this item's net price to charity organizations. N° de réf. du vendeur D-343-715

Synopsis :

This book teaches the basic methods of partial differential equations and introduces related important ideas associated with the analysis of numerical methods for those partial differential equations. Standard topics such as separation of variables, Fourier analysis, maximum principles and energy estimates are included. Numerical methods are introduced in parallel to the classical theory. The numerical experiments are used to illustrate properties of differential equations and theory for finite difference approximations is developed. Numerical methods are included in the book to show the significance of computations in partial differential equations and to illustrate the strong interaction between mathematical theory and the development of numerical methods. Great care has been taken throughout the book to seek a sound balance between the analytical and numerical techniques. The authors present the material at an easy pace with well-organized exercises ranging from the straightforward to the challenging. In addition, special projects are included, containing step by step hints and instructions, to help guide students in the correct way of approaching partial differential equations. The text would be suitable for advanced undergraduate and graduate courses in mathematics and engineering. Necessary prerequisites for this text are basic calculus and linear algebra. Some elementary knowledge of ordinary differential equations is also preferable.

Présentation de l'éditeur: This book teaches basic methods of partial differential equations and introduces related important ideas associated with the analysis of numerical methods for those partial differential equations. Coverage details such topics as separation of variables, Fourier analysis, maximum principles, and energy estimates. The book introduces numerical methods in parallel to the classical theory and also includes many engaging exercises.

Détails bibliographiques

Titre : Introduction to Partial Differential ...
Éditeur : Springer-Verlag New York Inc.
Date d'édition : 1998
Reliure : Hardcover
Etat : Très bon