41 citations · 302 across the 43 of their papers we have counts for
9 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…
Feedback control of parametrized PDEs via model order reduction and dynamic programming principle
Alessandro Alla, Bernard Haasdonk, Andreas Schmidt
In this paper we investigate infinite horizon optimal control problems for parametrized partial differential equations. We are interested in feedback control via dynamic programmin…
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…
Symplectic Model-Reduction with a Weighted Inner Product
Babak Maboudi Afkham, Ashish Bhatt, Bernard Haasdonk +1
In the recent years, considerable attention has been paid to preserving structures and invariants in reduced basis methods, in order to enhance the stability and robustness of the…
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…
Enabling Interactive Mobile Simulations Through Distributed Reduced Models
Christoph Dibak, Bernard Haasdonk, Andreas Schmidt +2
Currently, various hardware and software companies are developing augmented reality devices, most prominently Microsoft with its Hololens. Besides gaming, such devices can be used…
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…