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