One Fewer Quadrature Point and the Solution Blew Up — DG's Integration Floor and the Taylor Basis
·9 min read
For DG-P2 the volume integrand has degree 3, so two Gauss points match three points at 5.989e-3. One point leaves L2 error near 11.7 and order 0.13.
[Paper Review] Suspect the Cell After Solving It — A Posteriori MOOD Subcell Limiter for DG
·7 min read
Solve first, doubt later — reproducing the MOOD limiter of Ioriatti, Dumbser, Loubère (2020)
[Paper Review] When the Sound Speed Diverges and the Time Step Survives — Orlando–Bonaventura (2024) AP-IMEX for Non-Ideal Gases
·6 min read
An AP-IMEX-DG scheme that frees the time step from the sound speed across all Mach numbers and any EOS, reproduced in NumPy.