Peer-reviewed

• Andreas Frommer, Karsten Kahl, Francesco Knechtli, Matthias Rottmann, Artur Strebel und Ian Zwaan. “A multigrid accelerated eigensolver for the Hermitian Wilson–Dirac operator in lattice QCD”. Comput. Phys. Commun. 258 (2021), S. 107615.

• Andreas Frommer, Birgit Jacob, Karsten Kahl, Christian Wyss und Ian Zwaan. “Krylov type methods exploiting the quadratic numerical range”. Electron. Trans. Numer. Anal. (2020). Accepted for publication. arXiv: 1912.10765 [math.NA].
  
  
• Karsten Kahl und Nils Kintscher. “Automated local Fourier analysis (aLFA)”. BIT 60.3 (2020), S. 651–686.
  
  
• Karsten Kahl und Bruno Lang. “Hypergraph edge elimination and the Hermitian eigenvalue problem”. Electron. Trans. Numer. Anal. (2020). Accepted for publication. arXiv: 2003.03145 [math.NA].
  
  
• Andreas Behrend, Anton Dignös, Johann Gamper, Philip Schmiegelt, Hannes Voigt, Matthias Rottmann und Karsten Kahl. “Period index: a learned 2d hash index for range and duration queries”. Proceedings of the 16th International Symposium on Spatial and Temporal Databases. SSTD ’19. Vienna, Austria: Association for Computing Machinery, 2019, S. 100–109.
  
  
• Maksim Ulybyshev, Nils Kintscher, Karsten Kahl und Pavel Buividovich. “Schur complement solver for quantum Monte-Carlo simulations of strongly interacting fermions”. Comput. Phys. Commun. 236 (2019), S. 118–127.
  
  
• Matthias Bolten, Karsten Kahl, Daniel Kressner, Francisco Macedo und Sonja Sokolović. “Multigrid methods combined with low-rank approximation for tensor structured Markov chains”. Electron. Trans. Numer. Anal. 48 (2018), S. 348–361.
  
  
• James Brannick, Fei Cao, Karsten Kahl, Robert D. Falgout und Xiaozhe Hu. “Optimal interpolation and compatible relaxation in classical algebraic multigrid”. SIAM J. Sci. Comput. 40.3 (2018), A1473–A1493.
  
  
• Karsten Kahl und Nils Kintscher. “Geometric multigrid for the tight-binding Hamiltonian of graphene.” SIAM J. Numer. Anal. 56.1 (2018), S. 499–519.
  
  
• Karsten Kahl und Matthias Rottmann. “Least angle regression coarsening in bootstrap algebraic multigrid”. SIAM J. Sci. Comput. 40.6 (2018), A3928–A3954.
  
  
• Matthias Rottmann, Karsten Kahl und Hanno Gottschalk. “Deep bayesian active semi-supervised learning”. 17th IEEE International Conference on Machine Learning and Applications, ICMLA 2018, Orlando, FL, USA, December 17-20, 2018. 2018, S. 158–164.
  
  
• Karsten Kahl und Hannah Rittich. “The deflated conjugate gradient method: con- vergence, perturbation and accuracy”. Linear Algebra Appl. 515 (2017), S. 111– 129.
  
  
• Constantia Alexandrou, Simone Bacchio, Jacob Finkenrath, Andreas Frommer, Karsten Kahl und Matthias Rottmann. “Adaptive aggregation-based domain decom- position multigrid for twisted mass fermions”. Phys. Rev. D 94 (2016), S. 114509.
  
  
• Matthias Bolten, Karsten Kahl und Sonja Sokolović. “Multigrid methods for tensor structured Markov chains with low rank approximation”. SIAM J. Sci. Comput. 38.2 (2016), A649–A667.
  
  
• James Brannick, Andreas Frommer, Karsten Kahl, Björn Leder, Matthias Rottmann und Artur Strebel. “Multigrid preconditioning for the overlap operator in lattice QCD”. Numer. Math. 132.3 (2016), S. 463–490.
  
  
• Achi Brandt, James Brannick, Karsten Kahl und Ira Livshits. “Algebraic distance for anisotropic diffusion problems: multilevel results”. Electron. Trans. Numer. Anal. 44 (2015), S. 472–496.
  
  
• Achi Brandt, James Brannick, Karsten Kahl und Ira Livshits. “Bootstrap algebraic multigrid: status report, open problems, and outlook”. Numer. Math. Theory Me. 8.1 (2015), S. 112–135.
  
  
• James Brannick und Karsten Kahl. “Bootstrap algebraic multigrid for the 2d Wilson Dirac system”. SIAM J. Sci. Comput. 36.3 (2014), B321–B347.
  
  
• Andreas Frommer, Karsten Kahl, Stefan Krieg, Björn Leder und Matthias Rottmann. “Adaptive aggregation-based domain decomposition multigrid for the lattice Wilson- Dirac operator”. SIAM J. Sci. Comput. 36.4 (2014), A1581–A1608.
  
  
• Andreas Frommer, Karsten Kahl, Thomas Lippert und Hannah Rittich. “2-norm error bounds and estimates for Lanczos approximations to linear systems and rational matrix functions”. SIAM J. Matrix Anal. Appl. 34.3 (2013), S. 1046–1065.
  
  
• Matthias Bolten, Achi Brandt, James Brannick, Andreas Frommer, Karsten Kahl und Ira Livshits. “A bootstrap algebraic multilevel method for Markov chains”. SIAM J. Sci. Comput. 33.6 (2011), S. 3425–3446.
  
  
• Matthias Bolten, Stephanie Friedhoff, Andreas Frommer, Matthias Heming und Karsten Kahl. “Algebraic multigrid methods for Laplacians of graphs”. Linear Algebra Appl. 434.11 (2011), S. 2225–2243.
  
  
• Achi Brandt, James Brannick, Karsten Kahl und Ira Livshits. “Bootstrap AMG”. SIAM J. Sci. Comput. 33.2 (2011), S. 612–632.
  
  
• Andreas Frommer, Karsten Kahl, Scott P. MacLachlan, Ludmil T. Zikatanov und James Brannick. “Adaptive reduction-based multigrid for nearly singular and highly disordered physical systems”. Electron. Trans. Numer. Anal. 37 (2010), S. 276–295.

Preprints

• Karsten Kahl und Hanno Gottschalk. "Adaptive coarsening in algebraic multigrid methods by Gaussian processes". arXiv: 2004.11427 [math.NA].

Konferenzbeiträge

• Simone Bacchio, Costantia Alexandrou, Jacob Finkenrath, Andreas Frommer, Karsten Kahl und Matthias Rottmann. “DDalphaAMG for twisted mass fermions”. Proceedings of 34th annual International Symposium on Lattice Field Theory — PoS(LATTICE2016). Bd. 256. 2016, S. 259.

• Sara Collins, Gunnar Bali, Andreas Frommer, Karsten Kahl, Issaku Kanamori, Benjamin Müller, Matthias Rottmann und Jakob Simeth. “(approximate) low-mode averaging with a new multigrid eigensolver”. Proceedings of The 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015). Bd. 251. 2016, S. 350.
  
  
• Matthias Rottmann, Andreas Frommer, Karsten Kahl, Stefan Krieg und Björn Leder. “Aggregation-based multilevel methods for lattice QCD”. Proceedings of XXIX International Symposium on Lattice Field Theory — PoS(Lattice 2011). Bd. 139. 2012, S. 046.