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Roos, Hans-Görg

Robust Numerical Methods for Singularly Perturbed Differential Equations

Roos, Hans-Görg - Robust Numerical Methods for Singularly Perturbed Differential Equations, ebook

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ISBN: 9783540344674
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Table of contents

I. Ordinary Differential Equations

1. The Analytical Behaviour of Solutions

2. Numerical Methods for Second-Order Boundary Value Problems

II. Parabolic Initial-Boundary Value Problems in One Space Dimension

3. Introduction

4. Analytical Behaviour of Solutions

5. Finite Difference Methods

6. Finite Element Methods

7. Two Adaptive Methods

III. Elliptic and Parabolic Problems in Several Space Dimensions

8. Analytical Behaviour of Solutions

9. Finite Difference Methods

10. Finite Element Methods

11. Time-Dependent Problems

IV. The Incompressible Navier-Stokes Equations

12. Existence and Uniqueness Results

13. Upwind Finite Element Method

14. Higher-Order Methods of Streamline Diffusion Type

15. Local Projection Stabilization for Equal-Order Interpolation

16. Local Projection Method for Inf-Sup Stable Elements

17. Mass Conservation for Coupled Flow-Transport Problems

18. Adaptive Error Control

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Keywords: MATHEMATICS / General MAT000000

Author(s)
 
 
Publisher
Springer
Publication year
2008
Language
en
Edition
1
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9783540344674

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