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math.NA2021
The Projection Extension Method: A Spectrally Accurate Technique for Complex Domains
Saad Qadeer, Ehssan Nazockdast, Boyce E. Griffith
An essential ingredient of a spectral method is the choice of suitable bases for test and trial spaces. On complex domains, these bases are harder to devise, necessitating the use…
math.NA2021
Machine-learning custom-made basis functions for partial differential equations
Brek Meuris, Saad Qadeer, Panos Stinis
Spectral methods are an important part of scientific computing's arsenal for solving partial differential equations (PDEs). However, their applicability and effectiveness depend cr…