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math.NA2024★ 1 cited
Sample-based almost-sure quasi-optimal approximation in reproducing kernel Hilbert spaces
Nando Hegemann, Anthony Nouy, Philipp Trunschke
This paper addresses the problem of approximating an unknown function from point evaluations. When obtaining these point evaluations is costly, minimising the required sample size…
math.NA2023★ 1 cited
On the convergence of adaptive Galerkin FEM for parametric PDEs with lognormal coefficients
Martin Eigel, Nando Hegemann
Numerically solving high-dimensional random parametric PDEs poses a challenging computational problem. It is well-known that numerical methods can greatly benefit from adaptive ref…