no code implementations • 16 Jun 2023 • Davide Baroli, Helmut Harbrecht, Michael Multerer
Leveraging on the sparse representation of kernel matrices in samplet coordinates, this approach converges faster than the fast iterative shrinkage thresholding algorithm and is feasible for large-scale data.
no code implementations • 7 Jul 2021 • Helmut Harbrecht, Michael Multerer
In this article, we introduce the concept of samplets by transferring the construction of Tausch-White wavelets to the realm of data.
1 code implementation • 8 Aug 2018 • Peter Zaspel, Bing Huang, Helmut Harbrecht, O. Anatole von Lilienfeld
Inspired by Pople diagrams popular in quantum chemistry, we introduce a hierarchical scheme, based on the multi-level combination (C) technique, to combine various levels of approximations made when calculating molecular energies within quantum chemistry.
Chemical Physics
1 code implementation • 20 Jun 2018 • Helmut Harbrecht, Peter Zaspel
In this work, we consider the solution of boundary integral equations by means of a scalable hierarchical matrix approach on clusters equipped with graphics hardware, i. e. graphics processing units (GPUs).
Mathematical Software Distributed, Parallel, and Cluster Computing Numerical Analysis Numerical Analysis
no code implementations • 30 Aug 2017 • Jürgen Dölz, Helmut Harbrecht, Stefan Kurz, Sebastian Schöps, Felix Wolf
We present an indirect higher order boundary element method utilising NURBS mappings for exact geometry representation and an interpolation-based fast multipole method for compression and reduction of computational complexity, to counteract the problems arising due to the dense matrices produced by boundary element methods.
Numerical Analysis 65M38 G.1.8; G.1.2