82 citations · 433 across the 35 of their papers we have counts for
6 papers · 1 filter
Greedy Kernel Methods for Center Manifold Approximation
Bernard Haasdonk, Boumediene Hamzi, Gabriele Santin +1
For certain dynamical systems it is possible to significantly simplify the study of stability by means of the center manifold theory. This theory allows to isolate the complicated…
Greedy regularized kernel interpolation
Gabriele Santin, Dominik Wittwar, Bernard Haasdonk
Kernel based regularized interpolation is a well known technique to approximate a continuous multivariate function using a set of scattered data points and the corresponding functi…
Interpolation with uncoupled separable matrix-valued kernels
Dominik Wittwar, Gabriele Santin, Bernard Haasdonk
In this paper we consider the problem of approximating vector-valued functions over a domain . For this purpose, we use matrix-valued reproducing kernels, which can be related t…
Greedy kernel methods for accelerating implicit integrators for parametric ODEs
T. Brünnette, G. Santin, B. Haasdonk
We present a novel acceleration method for the solution of parametric ODEs by single-step implicit solvers by means of greedy kernel-based surrogate models. In an offline phase, a…
Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario
Markus Köppel, Fabian Franzelin, Ilja Kröker +8
A variety of methods is available to quantify uncertainties arising with\-in the modeling of flow and transport in carbon dioxide storage, but there is a lack of thorough compariso…
Numerical modelling of a peripheral arterial stenosis using dimensionally reduced models and kernel methods
Tobias Köppl, Gabriele Santin, Bernard Haasdonk +1
In this work, we consider two kinds of model reduction techniques to simulate blood flow through the largest systemic arteries, where a stenosis is located in a peripheral artery i…