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math.NA2024
Preconditioning of the generalized Stokes problem arising from the approximation of the time-dependent Navier-Stokes equations
Melvin Creff, Jean-Luc Guermond
The paper compares standard iterative methods for solving the generalized Stokes problem arising from the time and space approximation of the time-dependent incompressible Navier-S…
math.NA2024★ 1 cited
A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations
Jean-Luc Guermond, Matthias Maier, Eric Tovar
We introduce a high-order space-time approximation of the Shallow Water Equations with sources that is invariant-domain preserving (IDP) and well-balanced with respect to rest stat…