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math.NA2020
Sparse spectral methods for partial differential equations on spherical caps
Ben Snowball, Sheehan Olver
In recent years, sparse spectral methods for solving partial differential equations have been derived using hierarchies of classical orthogonal polynomials on intervals, disks, dis…
math.NA2020★ 2 cited
Orthogonal polynomials on planar cubic curves
Marco Fasondini, Sheehan Olver, Yuan Xu
Orthogonal polynomials in two variables on cubic curves are considered, including the case of elliptic curves. For an integral with respect to an appropriate weight function define…