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Mathematics > Numerical Analysis

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By Philipp Öffner, Henry Haase, Finnja Stafforst
| arXiv
Function-space summation-by-parts (FSBP) operators enable conservative and energy-stable numerical methods for hyperbolic conservation laws based on general, non-polynomial approximation spaces. Recent works show that using generalized Gaussian quadrature significantly reduces the number of grid points required compared to existing constructions that have mostly focused on equidistant grids.
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