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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★ 3 cited
A high-order fast direct solver for surface PDEs
Daniel Fortunato
We introduce a fast direct solver for variable-coefficient elliptic partial differential equations on surfaces based on the hierarchical Poincaré-Steklov method. The method takes a…