356 citations · 4.2k across the 89 of their papers we have counts for
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Efficient conservative ADER schemes based on WENO reconstruction and space-time predictor in primitive variables
Olindo Zanotti, Michael Dumbser
We present a new version of conservative ADER-WENO finite volume schemes, in which both the high order spatial reconstruction as well as the time evolution of the reconstruction po…
High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids
Michael Dumbser, Ilya Peshkov, Evgeniy Romenski +1
This paper is concerned with the numerical solution of the unified first order hyperbolic formulation of continuum mechanics recently proposed by Peshkov & Romenski, denoted as HPR…
Solving the relativistic magnetohydrodynamics equations with ADER discontinuous Galerkin methods, a posteriori subcell limiting and adaptive mesh refinement
Olindo Zanotti, Francesco Fambri, Michael Dumbser
We present a new numerical tool for solving the special relativistic ideal MHD equations that is based on the combination of the following three key features: (i) a one-step ADER d…