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math.NA2021
Fourier Continuation Discontinuous Galerkin Methods for Linear Hyperbolic Problems
Daniel Appelo, Kiera van der Sande, Nathan Albin
Fourier continuation is an approach used to create periodic extensions of non-periodic functions in order to obtain highly-accurate Fourier expansions. These methods have been used…
math.NA2019
Fourier spectral methods for nonlocal models
Bacim Alali, Nathan Albin
Efficient and accurate spectral solvers for nonlocal models in any spatial dimension are presented. The approach we pursue is based on the Fourier multipliers of nonlocal Laplace o…