4 citations · 6 across the 9 of their papers we have counts for
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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.NA2022★ 4 cited
Radial basis approximation of tensor fields on manifolds: From operator estimation to manifold learning
John Harlim, Shixiao Willing Jiang, John Wilson Peoples
In this paper, we study the Radial Basis Function (RBF) approximation to differential operators on smooth tensor fields defined on closed Riemannian submanifolds of Euclidean space…
math.NA2021★ 2 cited
Spectral Convergence of Symmetrized Graph Laplacian on manifolds with boundary
J. Wilson Peoples, John Harlim
We study the spectral convergence of a symmetrized Graph Laplacian matrix induced by a Gaussian kernel evaluated on pairs of embedded data, sampled from a manifold with boundary, a…