Abstract
We study stability properties and truncation errors of the finite-volume ADER schemes on structured meshes as applied to the linear advection equation with constant coefficients in one-, two- and three-spatial dimensions. Stability of linear ADER schemes is analysed by means of the von Neumann method. For nonlinear schemes, we deduce the stability region from numerical experiments. The truncation error analysis is carried out for linear ADER schemes in one-, two- and three-space dimensions and for nonlinear ADER schemes in one-space dimension.
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