Before revision:  The framework enables the unified analysis of many popular discontinuous Galerkin (DG) and flux reconstruction (FR) schemes based on properties of the matrix operators constituting such discretizations. The salient components of the proposed methodology include the formulation of a polynomial approximation space and its representation through a nodal or modal basis on the reference element, the construction of discrete inner products and projection operators based on quadrature or collocation, and the weak enforcement of boundary and interface conditions using numerical flux functions. Situating such components common to DG and FR methods within the context of the summation-by-parts property,
After revision:  The framework enables the unified analysis of many popular discontinuous Galerkin (DG) and flux reconstruction (FR) methods for conservation laws on general unstructured grids. Within such an algebraic framework, the multidimensional summation-by-parts (SBP) property is used to establish the discrete equivalence of strong and weak formulations, as well as the conservation and energy stability properties of a broad class of DG and FR methods within the context of the summation-by-parts property,