Publications

Recent Preprints and Technical Reports

  1. R. Van BeeumenD.B. Williams-Young, J. M. Kasper, C. Yang, E.G. Ng, X. Li
    A model order reduction algorithm for estimating the absorption spectrum
    arXiv:1704.05923, 2017
    [preprint] [software]
  2. R. Van BeeumenK. Meerbergen, W. Michiels
    Connections between contour integration and rational Krylov methods for eigenvalue problems
    Department of Computer Science, KU Leuven, 2016
    [preprint]

PhD Thesis

R. Van Beeumen, W. Michiels (sup.), K. Meerbergen (sup.)
Rational Krylov Methods for Nonlinear Eigenvalue Problems
Department of Computer Science, KU Leuven, 2015
[thesis] [bibtex]

Journal Papers (published or accepted for publication)

  1. K. Meerbergen, E. Mengi, W. Michiels, R. Van Beeumen
    Computation of pseudospectral abscissa for large scale nonlinear eigenvalue problems
    IMA Journal of Numerical Analysis, 2016
    [preprint]
  2. R. Van Beeumen, E. Jarlebring, W. Michiels
    A rank-exploiting infinite Arnoldi algorithm for nonlinear eigenvalue problems
    Numerical Linear Algebra with Applications, 23(4), 607–628, 2016
    [preprint]
  3. R. Van Beeumen, K. Meerbergen, W. Michiels
    Compact rational Krylov methods for nonlinear eigenvalue problems
    SIAM Journal on Matrix Analysis and Applications, 36 (2), 820-838, 2015
    [paper] [software] [bibtex]
  4. R. Van Beeumen, W. Michiels, K. Meerbergen
    Linearization of Lagrange and Hermite interpolating matrix polynomials
    IMA Journal of Numerical Analysis, 35 (2), 909-930, 2015
    [paper] [software] [bibtex]
  5. S. Güttel, R. Van Beeumen, K. Meerbergen, W. Michiels
    NLEIGS: A class of fully rational Krylov methods for nonlinear eigenvalue problems
    SIAM Journal on Scientific Computing, 36 (6), A2842-A2864, 2014
    [paper] [software] [bibtex]
  6. W.G. Vandenberghe, M.V. Fischetti, R. Van Beeumen, K. Meerbergen, W. Michiels, C. Effenberger
    Determining Bound States in a Semiconductor Device with Contacts using a Nonlinear Eigenvalue Solver
    Journal of Computational Electronics, 13 (3), 753-762, 2014
    [paper] [software] [bibtex]
  7. D. Verhees, R. Van Beeumen, K. Meerbergen, N. Guglielmi, W. Michiels
    Fast algorithms for computing the distance to instability of nonlinear eigenvalue problems, with application to time-delay systems
    International Journal of Dynamics and Control, 2 (2), 133-142, 2014
    [paper] [bibtex]
  8. R. Van Beeumen, K. Meerbergen, W. Michiels
    A rational Krylov method based on Hermite interpolation for nonlinear eigenvalue problems
    SIAM Journal on Scientific Computing, 35 (1), A327-A350, 2013
    [paper] [bibtex]
  9. R. Van Beeumen, K. Van Nimmen, G. Lombaert, K. Meerbergen
    Model reduction for dynamical systems with quadratic output International Journal for Numerical Methods in Engineering, 91 (3), 229-248, 2012
    [paper] [bibtex]

Book Chapters

  1. I. Uytterhoeven, R. Van Beeumen, M. Waelkens, J. Poblome
    Een paleiscomplex dat niet alleen groter, maar ook ouder wordt
    In M. Waelkens, Eds., Sagalassos – Jaarboek 2010. De vroeg- tot midden-Byzantijnse periode (450-1250 n. Chr.). Het Jaarverslag van de campagne van 2010
  2. I. Uytterhoeven, M. Waelkens, R. Van Beeumen, E. Torun, G. Üner, J. Poblome
    De Bovenste Agora. Van toplocatie voor stedelijke zelfrepresentatie tot ambachtelijke zone
    In M. Waelkens, Eds., Sagalassos – Jaarboek 2010. De vroeg- tot midden-Byzantijnse periode (450-1250 n. Chr.). Het Jaarverslag van de campagne van 2010

Conference Proceedings

  1. R. Van Beeumen, P. Degryse, M. Eisenga, E. Muijsenberg
    Numerical modelling of ancient primary glass furnaces
    Proceedings of the 11th International Seminar on Furnace Design Operation & Process Simulation Velké Karlovice, Czech Republic, 21-23 June 2011
    [paper] [bibtex]
  2. R. Van Beeumen, K. Meerbergen
    Model reduction by balanced truncation of linear systems with a quadratic output
    Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) Rhodos, Greece, 19-25 September 2010
    [paper] [bibtex]