3 papers
math.NA2026
On the Role of Split Formulations on Aliasing Errors and Entropy Stability of Discontinuous Galerkin Schemes
Mathias Dufresne-Piché, Siva Nadarajah
In this work, we formally investigate the dealiasing properties of split form discontinuous Galerkin (DG) discretizations for the one-dimensional Burgers problem. By generalizing t…
math.NA2025
On the Superconvergence of ESFR Schemes
Mathias Dufresne-Piché, Siva Nadarajah
The energy stable flux reconstruction (ESFR) method provides an efficient and flexible framework to devise high-order linearly stable numerical schemes which can achieve high level…
math.NA2025
Linearly Stable Generalizations of ESFR Schemes
Mathias Dufresne-Piché, Siva Nadarajah
The energy stable flux reconstruction (ESFR) method encompasses an infinite family of high-order, linearly stable schemes and thus provides a flex- ible and efficient framework for…