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A Polynomial Spectral Calculus for Analysis of DG Spectral Element Methods

Published 3 Apr 2017 in math.NA | (1704.00709v1)

Abstract: We introduce a polynomial spectral calculus that follows from the summation by parts property of the Legendre-Gauss-Lobatto quadrature. We use the calculus to simplify the analysis of two multidimensional discontinuous Galerkin spectral element approximations.

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