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math.NA2023
An almost fail-safe a-posteriori limited high-order CAT scheme
E. Macca, R. Loubere, C. Pares +1
In this paper we blend the high order Compact Approximate Taylor (CAT) numerical schemes with an a-posteriori Multi-dimensional Optimal Order Detection (MOOD) paradigm to solve hyp…
math.NA2021
a posteriori stabilized sixth-order finite volume scheme with adaptive stencil construction -- Basics for the 1D steady-state hyperbolic equations
Gaspar J. Machado, Stéphane Clain, Raphaël Loubère
We propose an adaptive stencil construction for high order accurate finite volume schemes aposteriori stabilized devoted to solve one-dimensional steady-state hyperbolic equations.…