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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.…
math.NA2021
An a posteriori strategy for adaptive schemes in time and space
Maria T. Malheiro, Gaspar J. Machado, Stéphane Clain
A nonlinear adaptive procedure for optimising both the schemes in time and space is proposed in view of increasing the numerical efficiency and reducing the computational time. The…