ZeTeM > Arbeitsgruppen > AG Numerik > Publikationen

Publikationen der AG Numerik

Monografien (1)

  1. A. Bunse-Gerstner, W. Bunse.
    Numerische Lineare Algebra.
    Teubner Studienbücher, 314 Seiten, Teubner Verlag, 1985.

Zeitschriftenartikel (11)

  1. P. Kirchgessner, L. Nerger, A. Bunse-Gerstner.
    On the choice of an optimal localization radius in ensemble Kalman filter methods.
    Monthly Weather Review, 142:2165-2175, AMS - American Meteorological Society, 2014.

    DOI: 10.1175/MWR-D-13-00246.1

  2. L. Nerger, S. Schulte, A. Bunse-Gerstner.
    On the influence of model nonlinearity and localization on ensemble Kalman smoothing.
    Quarterly Journal of the Royal Meteorological Society, 140:2249-2259, Wiley, 2014.

    DOI: 10.1002/qj.2293

  3. C. Böß, A. S. Lawless, N. Nichols, A. Bunse-Gerstner.
    State estimation using model order reduction for unstable systems.
    Computers & Fluids, 46(1):155-160, Elsevier, 2011.

    DOI: 10.1016/j.compfluid.2010.11.033

  4. H. Brachtendorf, A. Bunse-Gerstner, B. Lang, S. Lampe, A. Awasthi.
    Quasiperiodic steady-state analysis of electronic circuits by a spline basis.
    Mathematics in Industry, 14(2):199-206, Springer Verlag, 2010.

    DOI: 10.1007/978-3-642-12294-1_26

  5. A. Bunse-Gerstner, D. Kubalinska, G. Vossen.
    h2-norm optimal model reduction for large-scale discrete dynamical MIMO systems.
    Journal of Computational and Applied Mathematics, 233(5):1202-1216, Elsevier, 2009.

    DOI: 10.1016/j.cam.2008.12.029

  6. H. Brachtendorf, A. Bunse-Gerstner, B. Lang, S. Lampe.
    Steady state analysis of electronic circuits by cubic and exponential spline.
    Electrical Engineering (Archiv für Elektrotechnik), 91(4):287-299, Springer Verlag, 2009.

    DOI: 10.1007/s00202-009-0137-7
    online unter: http://www.springerlink.com/content/604x1247152u3576/

  7. A. S. Lawless, N. Nichols, C. Böß, A. Bunse-Gerstner.
    Approximate Gauss-Newton methods for optimal state estimation using reduced order models.
    International Journal for Numerical Methods in Fluids, 56(8), 1367–1373 S., 2008.

    DOI: 10.1002/fld.1629

  8. B. Salimbahrami, B. Lohmann, A. Bunse-Gerstner.
    Passive reduced order modelling of second-order systmes.
    Mathematical and Computer Modelling of Dynamical Systems, 14(5):407 - 420, 2008.
  9. A. S. Lawless, N. Nichols, C. Böß, A. Bunse-Gerstner.
    Using model reduction methods within four-dimensional variational data-assimilation.
    Monthly Weather Review, 136, 1511–1522 S., AMS - American Meteorological Society, 2008.

    DOI: 10.1175/2007MWR2103.1

  10. S. P. Vudathu, A. Bunse-Gerstner, D. Kubalinska, K. Kumar Duganapalli, R. Laur.
    Yield analysis via induction of process statistics into the design of MEMS and other microsystems.
    Microsystem Technologies, 13(11), 1545–1551 S., 2007.
  11. A. Bunse-Gerstner, R. Stöver.
    On a Conjugate Gradient-Type Method for Solving Complex Symmetric Linear Systems .
    Linear Algebra and its Applications, 287:105-123, 1999.

    DOI: 10.1016/S0024-3795(98)10091-5

Tagungsbeiträge (7)

  1. A. Akbarinia, R. Laur, A. Bunse-Gerstner.
    Modeling of Laminar Fluid Flows in Two-dimensional Curved Rectangular Microchannels with Slip Velocity Boundary Condition.
    2nd European Conference on Microfluidics, 08.12.-10.12.2010, Toulouse, Frankreich.
    Erscheint in Proceedings of the 2nd European Conference on Microfluidics.
  2. H. Brachtendorf, A. Bunse-Gerstner, B. Lang, S. Lampe.
    Quasiperiodic steady-state analysis of electronic circuits by a spline basis.
    7th International Conference on Scientific Computing in Electrical Engineering, 2008.09.28 - 2008.10.03, Espoo, Finnland.
    Scientific Computing in Electrical Engineering SCEE 2008, J. Roos, L. R. Costa (Hrsg.), 14(2):199-206, Springer Verlag, 2010.

    DOI: 10.1007/978-3-642-12294-1_26

  3. A. Akbarinia, R. Laur, A. Bunse-Gerstner.
    Uncertainty in heat transfer of nanofluids flow in microchannels with slip and non-slip flow regimes.
    Engineering Conferences International, Nanofluids: Fundamentals and Applications II, 15.08.-19.08.2010, Montreal, Kanada.
    Proceedings of the Engineering Conferences International, Nanofluids: Fundamentals and Applications II, 2010.
  4. A. Akbarinia, R. Laur, A. Bunse-Gerstner, A. Awasthi.
    Developing of laminar fluid flow rectangular microchannels.
    2nd International Conference on ENGINEERING MECHANICS, STRUCTURES, ENGINEERING GEOLOGY (EMESEG '09), 22.07.-24.07.2009, Rhodos, Griechenland.
    Proceedings of the 2nd International Conference on ENGINEERING MECHANICS, STRUCTURES, ENGINEERING GEOLOGY (EMESEG '09), 2009.
  5. A. Akbarinia, R. Laur, A. Bunse-Gerstner, A. Awasthi.
    Thermal developing and heat transfer in a forced convection laminar fluid flow in a rectangular microchannel.
    International Conference on Fluid and Thermal Energy Conversion (FTEC 2009), 07.12.-10.12.2009, Tongyeong, Südkorea.
    Proceedings of the International Conference on Fluid and Thermal Energy Conversion, 2009.
  6. Z. Akbay, J. Montalvo Urquizo, T. Pretorius, F. Vollertsen.
    Fast FEM-Model and Keyhole-Heat Source Model for Self-Optimized Simulation of Laser Welding Processes.
    International Workshop on Thermal Forming and Welding, 22.04.-23.04.2008, Bremen, Deutschland.
    Thermal Forming and Welding Distortion, Proceedings of the IWOTE'08, F. Vollertsen, J. Sakkiettibutra (Hrsg.), S. 277-288, 2008.
  7. H. Brachtendorf, A. Bunse-Gerstner, B. Lang, R. Laur.
    An inverse method of characteristics for analyzing circuits with widely separated timescales.
    2007 IEEE International Symposium on Circuits and Systems, 27.05.-30.05.2007, New Orleans, USA.
    ISCAS 2007. IEEE International Symposium on Circuits and Systems, S. 509-512, 2007.

Buchkapitel (2)

  1. A. Bunse-Gerstner, H. Faßbender.
    Breaking Van Loan`s Curse: A Quest for Structure-Preserving Algorithms for Dense Structured Eigenvalue Problems.
    Numerical Algebra, Matrix Theory, Differential-Algebraic, Equations and Control Theory, P. Benner, M. Bollhöfer, D. Kessner, C. Mehl, T. Stykel (Hrsg.), S. 3-23, Springer Verlag, 2015.
  2. R. Ressel, P. Dülk, S. Dahlke, K. Kazimierski, P. Maaß.
    Regularity of the Parameter-to-State Map of a Parabolic Partial Differential Equation.
    Extraction of Quantifiable Information from Complex Systems, S. Dahlke, W. Dahmen, M. Griebel, W. Hackbusch, K. Ritter, R. Schneider, C. Schwab, H. Yserentant (Hrsg.), Lecture Notes in Computational Science and Engineering, S. 53-67, Springer Verlag, 2014.

    DOI: 10.1007/978-3-319-08159-5_3

Qualifikationsarbeiten (5)

  1. S. P. Vudathu.
    Optimization of Yield and Reliability using Enhanced Worst-Case Methods.
    Dissertationsschrift, Universität Bremen, Shaker Verlag, 2016.
  2. Y. Cordero Hernandez.
    Covariance update on data assimilation for state and parameter estimation.
    Dissertationsschrift, Universität Bremen, 2015.

    online unter: Elektronische Bibliothek der Universität Bremen

  3. T. S. Nguyen.
    Interpolation Based Parametric Model Order Reduction.
    Dissertationsschrift, Universität Bremen, 2012.

    online unter: Elektronische Bibliothek der Universität Bremen

  4. D. Kubalinska.
    Optimal interpolation-based model reduction.
    Dissertationsschrift, Universität Bremen, 2008.
  5. C. Böß.
    Using model reduction techniques within the incremental 4D-Var method.
    Dissertationsschrift, Universität Bremen, 2008.

Preprints (4)

  1. P. Kirchgessner, L. Nerger, A. Bunse-Gerstner.
    On the choice of an optimal localization radius in ensemble Kalman filter methods.
    Berichte aus der Technomathematik 13-08, Universität Bremen, 2013.
  2. L. Nerger, S. Schulte, A. Bunse-Gerstner.
    On the influence of model nonlinearity and localization on ensemble Kalman smoothing.
    Berichte aus der Technomathematik 13-07, Universität Bremen, 2013.
  3. A. Bunse-Gerstner, D. Kubalinska, G. Vossen.
    H²-norm optimal model reduction for large-scale discrete dynamical MIMO systems.
    Berichte aus der Technomathematik 07-04, Universität Bremen, 2007.
  4. A. Bunse-Gerstner.
    A Short Introduction to Iterative Methods for Large Linear Systems.
    Berichte aus der Technomathematik 02-11, Universität Bremen, 2002.

Sonstiges (3)

  1. C. Böß, A. S. Lawless, N. Nichols, A. Bunse-Gerstner.
    State estimation using model order reduction for unstable systems.
    Projektbericht, Preprint MPS_2010_15, University of Reading, Großbritannien, 04 2010.

    online unter: http://www.reading.ac.uk/nmsruntime/saveasdialog.aspx?lID=52571&sID=90309

  2. A. Bunse-Gerstner, D. Kubalinska, G. Vossen.
    Equivalences between necessary optimality conditions for H²-norm optimal model reduction.
    Berichte aus der Technomathematik 07-06, Universität Bremen, 2007.
  3. G. Vossen, A. Bunse-Gerstner, D. Kubalinska.
    Necessary optimality conditions for H²-norm optimal model reduction.
    Berichte aus der Technomathematik 07-05, Universität Bremen, 2007.