Reliable methods for computer simulation : error control and a posteriori estimates /

Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations. In general, a reliab...

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Bibliographic Details
Main Author:	Neittaanmäki, P. (Pekka)
Corporate Author:	ScienceDirect (Online service)
Other Authors:	Repin, Sergey I.
Format:	eBook
Language:	English
Language Notes:	English.
Published:	Amsterdam ; San Diego, CA : Elsevier, 2004.
Series:	Studies in mathematics and its applications ; v. 33.
Subjects:	Numerical analysis. Error-correcting codes (Information theory) Approximation theory. Analyse numérique. Codes correcteurs d'erreurs (Théorie de l'information) Théorie de l'approximation. COMPUTERS > Computer Simulation. Approximation theory Numerical analysis Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Contents
1. Introduction.
2. Mathematical background.
3. A posteriori estimates for iteration methods.
4. A posteriori estimates for finite element approximations.
5. Foundations of duality theory.
6. Two-sided a posteriori estimates for linear elliptic problems.
7. A posteriori estimates for nonlinear variational problems.
8. A posteriori estimates for variational inequalities.
Bibliography.
Notation.
Index.