A unified optimization framework derives finite-difference schemes that jointly manage order of accuracy, spectral resolution, and stability, and proves that spectrally optimal even- and odd-derivative stencils are symmetric and antisymmetric.
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A Unified Approach for Deriving Optimal Finite Differences
A unified optimization framework derives finite-difference schemes that jointly manage order of accuracy, spectral resolution, and stability, and proves that spectrally optimal even- and odd-derivative stencils are symmetric and antisymmetric.