Preprint
Jul 2026
Adaptive Non-Linear Partition of Unity Methods for Scattered Data Interpolation with Discontinuities
Scattered data approximation with discontinuities is challenging due to the Gibbs phenomenon, which significantly reduces accuracy near interfaces. The recently introduced Non-Linear Partition of Unity Method (NL-PUM) addresses this by combining Radial Basis Function (RBF) interpolation with a non-linear Weighted Essen...
Adeeba Haider, R. Cavoretto, Juan Ruiz-Álvarez et al.
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