The Montecinos-Balsara ADER-FV polynomial basis: Convergence properties & extension to non-conservative multidimensional systems

In Montecinos and Balsara [8] a new, more efficient class of basis polynomials for the one-dimensional ADER-FV method was presented. This new class of basis polynomials, originally presented for conservative systems, is extended to multidimensional, non-conservative systems here, and the corresponding property regarding the eigenvalues of the Galerkin matrices is proved.