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20232026
most citedA high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations

1 citations · 1 across the 5 of their papers we have counts for

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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…

math.NA2024

Graph-based methods for hyperbolic systems of conservation laws using discontinuous space discretizations

Martin Kronbichler, Matthias Maier, Ignacio Tomas

We present a graph-based numerical method for solving hyperbolic systems of conservation laws using discontinuous finite elements. This work fills important gaps in the theory as w…