Some Recent Preprints and Publications

  1. Roland W. Freund, SPRIM: Structure-Preserving Reduced-Order Interconnect Macromodeling. In: Technical Digest of the 2004 IEEE/ACM International Conference on Computer-Aided Design, Los Alamitos, California: IEEE Computer Society Press 2004, pp. 80-87.

  2. Zhaojun Bai, Patrick M. Dewilde, and Roland W. Freund, Reduced-Order Modeling. In: Numerical Methods in Electromagnetics, W.H.A. Schilders and E.J.W. ter Maten (eds.), Handbook of Numerical Analysis, Vol. XIII, Amsterdam: Elsevier 2005, pp. 825-895.

  3. Roland W. Freund, Pade-Type Model Reduction of Second-Order and Higher-Order Linear Dynamical Systems. In: Dimension Reduction of Large-Scale Systems, P. Benner, G. Golub, V. Mehrmann, and D. Sorensen (eds.), Lecture Notes in Computational Science and Engineering 45, Berlin/Heidelberg: Springer-Verlag 2005, pp. 191-223.

  4. Roland W. Freund, RCL Circuit Equations. In: Dimension Reduction of Large-Scale Systems, P. Benner, G. Golub, V. Mehrmann, and D. Sorensen (eds.), Lecture Notes in Computational Science and Engineering 45, Berlin/Heidelberg: Springer-Verlag 2005, pp. 367-371.

  5. Tin Kam Ho, Todd Salamon, Roland W. Freund, Christopher A. White, Bruce K. Hillyer, Lawrence C. Cowsar, Carl J. Nuzman, and Daniel C. Kilper, Simulation of Power Evolution and Control Dynamics in Optical Transport Systems. Bell Labs Tech. J. 10, pp. 119-137 (2005).

  6. Roland W. Freund, Krylov Subspaces Associated with Higher-Order Linear Dynamical Systems. BIT 45, pp. 495-516 (2005).

  7. Roland W. Freund, Florian Jarre, and Christoph Vogelbusch, A Sequential Semidefinite Programming Method and an Application in Passive Reduced-Order Modeling. UC Davis Mathematics arXiv Preprint math.OC/0503135 (March 2005). Available online at http://arxiv.org/abs/math.OC/0503135.

  8. Roland W. Freund, Large-Scale Matrix Computations. In: Handbook of Linear Algebra, L. Hogben (ed.), Boca Raton: Chapman & Hall/CRC 2006, pp. 49-1 - 49-16.

  9. Peter Feldmann, Roland W. Freund, and Emrah Acar, Power Grid Analysis Using a Flexible Conjugate Gradient Algorithm with Sparsification. Technical Report, Department of Mathematics, UC Davis (June 2006).

  10. Roland W. Freund, Florian Jarre, and Christoph Vogelbusch, Nonlinear Semidefinite Programming: Sensitivity, Convergence, and an Application in Passive Reduced-Order Modeling. Math. Programming 109, pp. 581-611 (2007).

  11. Roland W. Freund, Structure-Preserving Model Order Reduction of RCL Circuit Equations. In: Model Order Reduction: Theory, Research Aspects and Applications, W.H.A. Schilders, H.A. van der Vorst and J. Rommes (eds.), Berlin/Heidelberg: Springer-Verlag 2008, pp. 49-73.
    This work was supported in part by the National Science Foundation through Grant DMS-0613032.

  12. Roland W. Freund, On Pade-Type Model Order Reduction of J-Hermitian Linear Dynamical Systems. Linear Algebra Appl. 429, pp. 2451-2464 (2008).
    This work was supported in part by the National Science Foundation through Grant DMS-0613032.

  13. Mohamed S. Ebeida, Roger L. Davis, and Roland W. Freund, Unsteady Incompressible Flow Simulation Using Galerkin Finite Elements with Spatial/Temporal Adaptation. Proceedings of the 47th AIAA Aerospace Sciences Meeting, Orlando, Florida, 2009, Paper AIAA-2009-1128.

  14. Mohamed S. Ebeida, Roger L. Davis, and Roland W. Freund, Simulation of Unsteady Incompressible Flows Using Temporal Adaptation and Dynamic Remeshing. Technical Report, Department of Mathematics, UC Davis (October 2009).

  15. Mohamed S. Ebeida, Roger L. Davis, and Roland W. Freund, A New Fast Hybrid Adaptive Grid Generation Technique for Arbitrary Two-Dimensional Domains. Int. J. Numer. Methods Eng. 84, pp. 305-329 (2010).

  16. Roland W. Freund, Recent Advances in Structure-Preserving Model Order Reduction. In: Simulation and Verification of Electronic and Biological Systems, P. Li, L.M. Silveira, and P. Feldmann (eds.), Dordrecht/Heidelberg/London/New York: Springer 2011, pp. 43-70.
    This work was supported in part by the National Science Foundation through Grant DMS-0613032.

  17. Roland W. Freund, The SPRIM Algorithm for Structure-Preserving Order Reduction of General RCL Circuits. In: Model Reduction for Circuit Simulation, P. Benner, M. Hinze, and E.J.W. ter Maten (eds.), Dordrecht/Heidelberg/London/New York: Springer 2011, pp. 25-52.
    This work was supported in part by the National Science Foundation through Grant DMS-0613032.

  18. Yuji Nakatsukasa and Roland W. Freund, Using Zolotarev's Rational Approximation for Computing the Polar, Symmetric Eigenvalue, and Singular Value Decompositions. Technical Report, Department of Mathematics, UC Davis (April 2015).

  19. Yuji Nakatsukasa and Roland W. Freund, Computing Fundamental Matrix Decompositions Accurately Via the Matrix Sign Function in Two Iterations: The power of Zolotarev's Functions, SIAM Rev. 58, pp. 461-493 (2016).

  20. Roland W. Freund, Electronic Circuit Simulation and the Development of New Krylov-Subspace Methods, Technical Report, Department of Mathematics, UC Davis (February 2019).

  21. Roland W. Freund, Electronic Circuit Simulation and the Development of New Krylov-Subspace Methods. In: Novel Mathematics Inspired by Industrial Applications, M. Guenther and W. Schilders (eds.), Cham, Switzerland: Springer Nature 2022, pp. 29-55.

Books

  1. Roland W. Freund and Ronald H.W. Hoppe, Stoer/Bulirsch: Numerische Mathematik 1, 10th Edition. Berlin: Springer-Verlag 2007.

Some Other Manuscripts

  1. Roland W. Freund, Über einige cg-ähnliche Verfahren zur Lösung linearer Gleichungssysteme. Doctoral Thesis, Universität Würzburg. Würzburg, Germany 1983.
    (Many thanks to Jens-Peter M. Zemke for providing this pdf file of my Doctoral Thesis!)