Wow! eBook
Numerical Approximation of Partial Differential Equations: 23 1st ed. 1994. 2nd printing 2008 Edition
Author(s): Alfio Quarteroni (Author), Alberto Valli (Author)
- Publisher: Springer
- Publication Date: 24 Sept. 2008
- Edition: 1st ed. 1994. 2nd printing 2008
- Language: English
- Print length: 560 pages
- ISBN-10: 3540852670
- ISBN-13: 9783540852674
Book Description
This soft cover reprint of the popular hardbound thoroughly illustrates numerical methods. It carries out their stability and convergence analysis, derives error bounds, and discusses the algorithmic aspects relative to their implementation.
Editorial Reviews
Review
“…The book is excellent and is addressed to post-graduate students, research workers in applied sciences as well as to specialists in numerical mathematics solving PDE. Since it is written very clearly, it would be acceptable for undergraduate students in advanced courses of numerical mathematics. Readers will find this book to be a great pleasure.”–MATHEMATICAL REVIEWS
From the Back Cover
This book deals with the numerical approximation of partial differential equations. Its scope is to provide a thorough illustration of numerical methods, carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is one of its main features. Many kinds of problems are addressed. A comprehensive theory of Galerkin method and its variants, as well as that of collocation methods, are developed for the spatial discretization. These theories are then specified to two numerical subspace realizations of remarkable interest: the finite element method and the spectral method.
From the reviews:
“…The book is excellent and is addressed to post-graduate students, research workers in applied sciences as well as to specialists in numerical mathematics solving PDE. Since it is written very clearly, it would be acceptable for undergraduate students in advanced courses of numerical mathematics. Readers will find this book to be a great pleasure.”–MATHEMATICAL REVIEWS
