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math.NA2026
Near-Optimal Learning of Gaussian Sobolev Operators
Ben Adcock, Michael Griebel, Gregor Maier
A key question in operator learning is how to design surrogate operators with provable approximation guarantees in reasonable computational time. Whereas smooth operators can be ap…
math.NA2026
Kernel interpolation on generalized sparse grids
Michael Griebel, Helmut Harbrecht, Michael Multerer
We consider scattered data approximation on product regions of equal and different dimensionality. On each of these regions, we assume quasi-uniform but unstructured data sites and…
math.NA2025
Efficient solution of ill-posed integral equations through averaging
Michael Griebel, Tim Jahn
This paper discusses the error and cost aspects of ill-posed integral equations when given discrete noisy point evaluations on a fine grid. Standard solution methods usually employ…