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

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"

• ERC-NUMERIWAVESMiniCourse20141124-25 GOSSE1
• ERC-NUMERIWAVESMiniCourse20141124-25 GOSSE2
• ERC-NUMERIWAVESMiniCourse20141124-25 GOSSE