galerkin discretization 1imex schemes 1lava flow modeling 1shallow water equations 1stability analysis 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.NA2026
Second-order optimally stable IMEX (pseudo-)staggered Galerkin discretization with application to depth-integrated lava flow simulations
Federico Gatti, Giuseppe Orlando
The paper proposes second‑order IMEX Runge‑Kutta schemes combined with a novel pseudo‑staggered Galerkin discretization for shallow‑water‑type equations used to simulate lava flows…
math.NA2025
A quantitative comparison of high-order asymptotic-preserving and asymptotically-accurate IMEX methods for the Euler equations with non-ideal gases
Giuseppe Orlando, Sebastiano Boscarino, Giovanni Russo
We present a quantitative comparison between two different Implicit-Explicit Runge-Kutta (IMEX-RK) approaches for the Euler equations of gas dynamics, specifically tailored for the…