3 papers
math.NA2026
On the Strong Stability Preserving Property of Runge-Kutta Methods for Hyperbolic Problems
Mohammad R. Najafian, Brian C. Vermeire
Strong Stability Preserving (SSP) time integration schemes maintain stability of the forward Euler method for any initial value problem. However, only a small subset of Runge-Kutta…
math.NA2024
Quasi-Orthogonal Runge-Kutta Projection Methods
Mohammad R. Najafian, Brian C. Vermeire
A wide range of physical phenomena exhibit auxiliary admissibility criteria, such as conservation of entropy or various energies, which arise implicitly under exact solution of the…
math.NA2024
Energy Conservative Relaxation-Free Runge-Kutta Schemes
Mohammad R. Najafian, Brian C. Vermeire
A wide range of physical phenomena exhibit auxiliary admissibility criteria, such as conservation of entropy or various energies, which arise implicitly under the exact solution of…