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
Call Number:Libro Electrónico
Main Author: Neittaanm�aki, P. (Pekka)
Other Authors: Repin, Sergey I.
Format: Electronic eBook
Language:Inglés
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 num�erique.
Codes correcteurs d'erreurs (Th�eorie de l'information)
Th�eorie de l'approximation.
COMPUTERS > Computer Simulation.
Approximation theory
Numerical analysis
Online Access:Texto completo
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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.

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