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math.NA2026
An efficient implicit scheme for the multimaterial Euler equations in Lagrangian coordinates
Simone Chiocchetti, Giovanni Russo
Stratified fluids composed of a sequence of alternate layers show interesting macroscopic properties, which may be quite different from those of the individual constituent fluids.…
math.NA2025
High order well-balanced Arbitrary-Lagrangian-Eulerian ADER discontinuous Galerkin schemes on general polygonal moving meshes
Elena Gaburro
In this work, we present a novel family of high order accurate numerical schemes for the solution of hyperbolic partial differential equations (PDEs) which combines several geometr…