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math.NA2022
Corner cases of the tau method: symmetrically imposing boundary conditions on hypercubes
Keaton J. Burns, Daniel Fortunato, Keith Julien +1
Polynomial spectral methods produce fast, accurate, and flexible solvers for broad ranges of PDEs with one bounded dimension, where the incorporation of general boundary conditions…
math.NA2022★ 7 cited
A gyroscopic polynomial basis in the sphere
Abram C. Ellison, Keith Julien, Geoffrey M. Vasil
Standard spectral codes for full sphere dynamics utilize a combination of spherical harmonics and a suitableradial basis to represent fluid variables. These basis functions have a…