7 citations · 13 across the 12 of their papers we have counts for
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math.NA2026
A sparse spectral method on a class of domains bounded by planar algebraic curves
Jiajie Yao, Marco Fasondini, Sheehan Olver
We develop a sparse spectral method for solving partial differential equations on a class of two-dimensional geometries bounded by algebraic curves. The numerical method uses gener…
math.NA2026
The QR factorization of a banded-plus-semiseparable matrix is computable in linear complexity with Householder reflections
Tao Chen, Sheehan Olver
We show that the QR factorization of a banded-plus-semiseparable (BPS) matrix is computable in optimal linear complexity with respect to the discretization size by showing that the…
math.NA2026
Orthogonal polynomials for the de Rham complex on the disk and cylinder
Sheehan Olver
This paper constructs polynomial bases that capture the structure of the de Rham complex with boundary conditions in disks and cylinders (both periodic and finite) in a way that re…