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math.NA2025
Rational function approximation with normalized positive denominators
James Chok, Geoffrey M. Vasil
Recent years have witnessed the introduction and development of extremely fast rational function algorithms. Many ideas in this realm arose from polynomial-based linear-algebraic a…
math.NA2024
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…