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math.NA2021
Stability and Functional Superconvergence of Narrow-Stencil Second-Derivative Generalized Summation-By-Parts Discretizations
Zelalem Arega Worku, David W. Zingg
We analyze the stability and functional superconvergence of discretizations of diffusion problems with the narrow-stencil second-derivative generalized summation-by-parts (SBP) ope…
math.NA2021★ 10 cited
A unifying algebraic framework for discontinuous Galerkin and flux reconstruction methods based on the summation-by-parts property
Tristan Montoya, David W. Zingg
We propose a unifying framework for the matrix-based formulation and analysis of discontinuous Galerkin (DG) and flux reconstruction (FR) methods for conservation laws on general u…