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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.NA2025

Structure-preserving finite-element approximations of the magnetic Euler-Poisson equations

Jordan Hoffart, Matthias Maier, John N. Shadid +1

We develop a structure-preserving numerical discretization for the electrostatic Euler-Poisson equations with a given magnetic field. Our focus is on the efficient solution of prob…

math.NA2025

A conservative invariant-domain preserving projection technique for hyperbolic systems under adaptive mesh refinement

Jake Harmon, Martin Kronbichler, Matthias Maier +1

We propose a rigorous, conservative invariant-domain preserving (IDP) projection technique for hierarchical discretizations that enforces membership in physics-implied convex sets…