Model Reduction

Publications

• K. Meerbergen. The solution of parametrized symmetric linear systems. SIAM J. Matrix Anal. Appl., 24(4), pp. 1038--1059, 2003
• K. Meerbergen. Fast frequency response computation for Rayleigh damping. Internat. J. Numer. Methds Engineering, 73(1), pp. 96-106, 2008.
• Z. Bai and K. Meerbergen. The Lanczos method for parameterized symmetric linear systems with multiple right-hand sides, SIAM J. Matrix Anal. Appl. 31(4):1642-1662, 2010.
• W. Michiels, E. Jarlebring and K. Meerbergen. Krylov based model order reduction of time-delay systems. SIAM J. Matrix Anal. Appl., Accepted for publication, 2011.
• M. Saadvandi, K. Meerbergen, and E. Jarlebring. On Dominant Poles and Model Reduction of Second Order Time-Delay Systems. Applied Numerical Mathematics, 62(1):21-34, 2012.
• Y. Yue and K. Meerbergen. Using model order reduction for design optimization of structures and vibrations. International Journal of Numerical Methods in Engineering, Accepted for publication, 2011.
• R. Van Beeumen, K. Van Nimmen, G. Lombaert, and K. Meerbergen. Model reduction for dynamical systems with quadratic output. Accepted for publication in International Journal of Numerical Methods in Engineering, 2011.

Edited volumes

• Z. Bai, K. Meerbergen and Y. Su, Arnoldi methods for structure-preserving dimension reduction of second-order dynamical systems In Dimension reduction of large-scale systems, P. Benner, V. Mehrmann and D.C. Sorensen, eds. Springer, Heidelberg, pp. 173-189, 2005.
• Y. Yao and K. Meerbergen. Using model order reduction for the parameter optimization of large scale dynamical systems, Recent Advances in Optimization and its Applications in Engineering, M. Diehl, F. Glinneur, E. Jarlebring, and W. Michiels, eds., Springer-Verlag, 2010.

Reports

• Y. Yao and K. Meerbergen. Accelerating PDE-constrained optimization by model order reduction with error control, Report TW611, KU Leuven, Department of Computer Science, 2012.