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math.NA2024
Optimal Compactly Supported Functions in Sobolev Spaces
Robert Schaback
This paper constructs unique compactly supported functions in Sobolev spaces that have minimal norm, maximal support, and maximal central value, under certain renormalizations. The…
math.NA2022
Scaling of Radial Basis Functions
Elisabeth Larsson, Robert Schaback
This paper studies the influence of scaling on the behavior of Radial Basis Function interpolation. It focuses on certain central aspects, but does not try to be exhaustive. The mo…
math.NA2022
Small Errors Imply Large Instabilities
Robert Schaback
Numerical Analysts and scientists working in applications often observe that once they improve their techniques to get a better accuracy, some instability creeps in through the bac…