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Gosse, Laurent

Computing Qualitatively Correct Approximations of Balance Laws

Gosse, Laurent - Computing Qualitatively Correct Approximations of Balance Laws, ebook

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ISBN: 9788847028920
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Table of contents

1. Introduction and Chronological Perspective
Laurent Gosse

Part I. Hyperbolic Quasi-Linear Balance Laws

2. Lifting a Non-Resonant Scalar Balance Law
Laurent Gosse

3. Lyapunov Functional for Linear Error Estimates
Laurent Gosse

4. Early Well-Balanced Derivations for Various Systems
Laurent Gosse

5. Viscosity Solutions and Large-Time Behavior for Non-Resonant Balance Laws
Laurent Gosse

6. Kinetic Scheme with Reflections and Linear Geometric Optics
Laurent Gosse

7. Material Variables, Strings and Infinite Domains
Laurent Gosse

Part II. Weakly Nonlinear Kinetic Equations

8. The Special Case of 2-Velocity Kinetic Models
Laurent Gosse

9. Elementary Solutions and Analytical Discrete-Ordinates for Radiative Transfer
Laurent Gosse

10. Aggregation Phenomena with Kinetic Models of Chemotaxis Dynamics
Laurent Gosse

11. Time-Stabilization on Flat Currents with Non-Degenerate Boltzmann-Poisson Models
Laurent Gosse

12. Klein-Kramers Equation and Burgers/Fokker-Planck Model of Spray
Laurent Gosse

13. A Model for Scattering of Forward-Peaked Beams
Laurent Gosse

14. Linearized BGK Model of Heat Transfer
Laurent Gosse

15. Balances in Two Dimensions: Kinetic Semiconductor Equations Again
Laurent Gosse

16. Conclusion: Outlook and Shortcomings
Laurent Gosse

Keywords: Mathematics, Computational Mathematics and Numerical Analysis, Partial Differential Equations, Applications of Mathematics, Mathematical and Computational Engineering, Numerical and Computational Physics, Simulation

Author(s)
Publisher
Springer
Publication year
2013
Language
en
Edition
1
Series
SIMAI Springer Series
Page amount
360 pages
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9788847028920
Printed ISBN
978-88-470-2891-3

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