2 papers
math.AP2025
Nonlocal vector calculus on the sphere
Hadrien Montanelli, Richard Mikael Slevinsky, Qiang Du
We introduce a nonlocal vector calculus on the unit two-sphere using weakly singular integral operators. Within this framework, the operators are diagonalizable in terms of scalar…
math.NA2024
Fast measure modification of orthogonal polynomials via matrices with displacement structure
Karim Gumerov, Samantha Rigg, Richard Mikael Slevinsky
It is well known that matrices with low Hessenberg-structured displacement rank enjoy fast algorithms for certain matrix factorizations. We show how principal finite se…