ERC-Numeriwaves Mini Course on L1 Stability theory and error estimates for some 1D systems of balance laws

Fecha: Lun, Nov 24 - Mar, Nov 25 2014

Hora: 12:00

Ponentes: Laurent Gosse, IAC-CNR - Istituto per le Applicazioni del Calcolo Mauro Picone, Bari, Italy

L1 stability theory and error estimates 
for some 1D systems of balance laws

November 24, 12h

- What is a "high order scheme" for discontinuous solutions?
- A few intrinsic limits of this concept, especially accuracy in the context of complex wave interactions
- Bressan-Liu-Yang stability theory applied to 1D scalar equations with a source (numerical illustrations)

November 25, 12h

- Proof of an error estimate for a jin-xin 2 ⇥ 2 relaxation model with position-dependent Knudsen relaxation number (this model "contains" the linear damped wave equation).
- Differences between well-balanced and time-splitting at the level of their total variation estimate.
- Comments on the final estimate in terms of practical applications and numerical results on the locally damped wave equation in 1D.

Link the abstract and references in "archives"

Organizadores:

BCAM 

Ponentes confirmados:

Laurent Gosse, IAC-CNR - Istituto per le Applicazioni del Calcolo Mauro Picone, Bari, Italy