Superconvergent Functional Estimates from Summation-By-Parts Finite-Difference Discretizations

Abstract

Diagonal-norm summation-by-parts (SBP) operators can be used to construct timestable high-order accurate finite-difference schemes. However, to achieve both stability and accuracy, these operators must use s-order accurate boundary closures when the interior scheme is 2s-order accurate. The boundary closure limits the solution to (s + 1)-order global… (More)
DOI: 10.1137/100790987

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