Theoretical Numerical Analysis: A Functional Analysis Framework

Kendall Atkinson

ISBN 10: 1441904573 / ISBN 13: 9781441904577

Edité par Springer-Verlag New York Inc., 2009

A propos de cet article

This item is printed on demand. New copy - Usually dispatched within 5-9 working days 1102. N° de réf. du vendeur C9781441904577

Détails bibliographiques

Titre : Theoretical Numerical Analysis: A Functional...

Éditeur : Springer-Verlag New York Inc.

Date d'édition : 2009

Reliure : Hardback

Etat : New

Edition : 3ème Édition

A propos de ce titre

Synopsis :

This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation theory, Fourier analysis and wavelets, iteration methods for nonlinear equations, finite difference methods, Sobolev spaces and weak formulations of boundary value problems, finite element methods, elliptic variational inequalities and their numerical solution, numerical methods for solving integral equations of the second kind, and boundary integral equations for planar regions. The presentation of each topic is meant to be an introduction with certain degree of depth. Comprehensive references on a particular topic are listed at the end of each chapter for further reading and study.

Because of the relevance in solving real world problems, multivariable polynomials are playing an ever more important role in research and applications. In this third editon, a new chapter on this topic has been included and some major changes are made on two chapters from the previous edition. In addition, there are numerous minor changes throughout the entire text and new exercises are added.

Review of earlier edition:

"...the book is clearly written, quite pleasant to read, and contains a lot of important material; and the authors have done an excellent job at balancing theoretical developments, interesting examples and exercises, numerical experiments, and bibliographical references."

R. Glowinski, SIAM Review, 2003