One Fewer Quadrature Point and the Solution Blew Up — DG's Integration Floor and the Taylor Basis
·8 min read
The minimum number of Gauss points in a DG cell integral is set by the degree of the integrand, not by the mesh. Going from three points to two changes nothing; going to one destroys the scheme.
[Paper Review] Suspect the Cell After Solving It — A Posteriori MOOD Subcell Limiter for DG
·6 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.