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math.NA2026
Summation-by-parts operators for general function spaces: optimal nodes
Nicholas Hale, Charis Harley, Prince Nchupang +1
Gauss-Lobatto quadrature nodes and weights are optimal for closed summation-by-parts (SBP) formulations based on polynomial approximation spaces in the sense that for a prescribed…
math.NA2026
Construction of Laguerre pseudospectral differentiation matrices
Emma Nel, Nicholas Hale
In this paper, we present a stable and efficient approach for constructing Laguerre pseudospectral differentiation matrices. The proposed method reformulates the off-diagonal entri…