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math.NA2024
A Higher Order Local Mesh Method for Approximating 1-Laplacians on Unknown Manifolds
John Wilson Peoples, John Harlim
We introduce a numerical method for approximating arbitrary differential operators on vector fields in the weak form given point cloud data sampled randomly from a dimensional…
math.OA2024
Noncommutative Geometry of Hensel-Steinitz Algebras
Shelley Hebert, Slawomir Klimek, Matt McBride +1
We discuss various aspects of noncommutative geometry of smooth subalgebras of Hensel-Steinitz algebras. In particular we study the structure of derivations and -Theory of those…