Computing qualitatively correct approximations of balance laws : exponential-fit, well-balanced and asymptotic-preserving
Substantial effort has been drawn for years onto the development of (possibly high-order) numerical techniques for the scalar homogeneous conservation law, an equation which is strongly dissipative in L1 thanks to shock wave formation. Such a dissipation property is generally lost when considering h...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Milano :
Springer Milan : Imprint: Springer
[20..].
Cham : Springer Nature |
| Schriftenreihe: | SIMAI Springer Series
2 |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Computing qualitatively correct approximations of balance laws, exponential-fit, well-balanced and asymptotic-preserving, Laurent Gosse, 2013, Milan [etc.], Springer, 1 vol. (XIX-340 p.), SIMAI Springer Series, 978-88-470-2891-3 • Computing Qualitatively Correct Approximations of Balance Laws, Texte imprimé, 9788847028913 |
Inhaltsangabe:
- Introduction and chronological perspective Lifting a non-resonant scalar balance law Lyapunov functional for linear error estimates Early well-balanced derivations for various systems Viscosity solutions and large-time behavior for non-resonant balance laws Kinetic scheme with reflections and linear geometric optics Material variables, strings and infinite domains The special case of 2-velocity kinetic models Elementary solutions and analytical discrete-ordinates for radiative transfer Aggregation phenomena with kinetic models of chemotaxis dynamics Time-stabilization on flat currents with non-degenerate Boltzmann-Poisson models Klein-Kramers equation and Burgers/Fokker-Planck model of spray A model for scattering of forward-peaked beams Linearized BGK model of heat transfer Balances in two dimensions: kinetic semiconductor equations again Non-conservative products and locally Lipschitzian paths A tiny step toward hypocoercivity estimates for well-balanced schemes on 2x2 models Preliminary analysis of the errors for Vlasov-BGK