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A note on L^{infty } bounds and convergence rates of summation-by-parts schemes
Authors:Magnus Svärd
Affiliation:1. Department of Mathematics, University of Bergen, P.B 7800, 5020, Bergen, Norway
Abstract:In this note, we prove that Summation-by-parts finite difference schemes approximating linear initial-boundary-value problems are stable in (L^{infty }) . This, along with the standard (L^2) bound is sufficient for optimal convergence rates.
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