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...
Main Authors: | , |
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Other Authors: | , |
Format: | Book |
Language: | English |
Published: |
Amsterdam ; Oxford :
Elsevier,
2004
Amsterdam ; San Diego, CA : 2004 |
Series: | Studies in mathematics and its applications ;
33 Studies in mathematics and its applications ; v. 33 Studies in mathematics and its applications v. 33 |
Subjects: |
Table of 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.