Analysis of ADER and ADER-WAF schemes |
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Authors: | Titarev V A; Toro E F |
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Institution: |
Department of Civil and Environmental Engineering, Laboratory of Applied Mathematics, Faculty of Engineering, University of Trento, Via Mesiano, 77, 38050 Trento, Italy
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Abstract: | We study stability properties and truncation errors of the finite-volumeADER schemes on structured meshes as applied to the linear advectionequation with constant coefficients in one-, two- and three-spatialdimensions. Stability of linear ADER schemes is analysed bymeans of the von Neumann method. For nonlinear schemes, we deducethe stability region from numerical experiments. The truncationerror analysis is carried out for linear ADER schemes in one-,two- and three-space dimensions and for nonlinear ADER schemesin one-space dimension. |
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Keywords: | ADER derivative Riemann problem high-order schemes weighted essentially nonoscillatory multiple space dimensions |
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