%%%% The book itself %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@book{BenMS05,
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
title = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
volume = {45},
year = {2005}
}
%%%% The chapters %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Chapter 1
@inproceedings{BenQ05,
author = {P. Benner and E.S. Quintana-Ort\'{\i}},
title = {Model Reduction Based on Spectral Projection Methods},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
volume = {45},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
pages = {5--48},
year = {2005}
}
% alternatively
@inproceedings{BenQ05cross,
author = {P. Benner and E.S. Quintana-Ort\'{\i}},
title = {Model Reduction Based on Spectral Projection Methods},
note = {Chapter 1 (pages 5--48) of \cite{BenMS05}}
}
% Chapter 2
@inproceedings{GugL05,
author = {S. Gugercin and J.-R. Li},
title = {Smith-type methods for balanced truncation of large systems},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
volume = {45},
pages = {49--82},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
year = {2005}
}
% alternatively
@inproceedings{GugL05cross,
author = {S. Gugercin and J.-R. Li},
title = {Smith-type methods for balanced truncation of large systems},
note = {Chapter 2 (pages 49--82) of \cite{BenMS05}}
}
% Chapter 3
@inproceedings{MehS05,
author = {V. Mehrmann and T. Stykel},
title = {Balanced Truncation Model Reduction for Large-Scale Systems in
Descripter Form},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
volume = {45},
pages = {83--115},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
year = {2005}
}
% alternatively
@inproceedings{MehS05cross,
author = {V. Mehrmann and T. Stykel},
title = {Balanced Truncation Model Reduction for Large-Scale Systems in
Descripter Form},
note = {Chapter 3 (pages 83--115) of \cite{BenMS05}}
}
% Chapter 4
@inproceedings{SorA05,
author = {D.C. Sorensen and A.C. Antoulas},
title = {On Model Reduction of Structured Systems},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
volume = {45},
pages = {117--130},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
year = {2005}
}
% alternatively
@inproceedings{SorAcross,
author = {D.C. Sorensen and A. C. Antoulas},
title = {On Model Reduction of Structured Systems},
note = {Chapter 4 (pages 117--130) of \cite{BenMS05}}
}
% Chapter 5
@inproceedings{ChaV05,
author = {Y. Chahlaoui and P. {Van Dooren}},
title = {Model Reduction of Time-Varying Systems},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
volume = {45},
pages = {131--148},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
year = {2005}
}
% alternatively
@inproceedings{ChaV05cross,
author = {Y. Chahlaoui and P. {Van Dooren}},
title = {Model Reduction of Time-Varying Systems},
note = {Chapter 5 (pages 131--148) of \cite{BenMS05}}
}
% Chapter 6
@inproceedings{ChaGVV05,
author = {V. Chahlaoui and K. A. Gallivan and A. Vandendorpe and
P. {Van Dooren}},
title = {Model Reduction of Second-Order System},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
volume = {45},
pages = {149--172},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
year = {2005}
}
% alternatively
@inproceedings{ChaGVV05cross,
author = {V. Chahlaoui and K. A. Gallivan and A. Vandendorpe and
P. {Van Dooren} },
title = {Model Reduction of Second-Order System},
note = {Chapter 6 (pages 149--172) of \cite{BenMS05}}
}
% Chapter 7
@inproceedings{BaiMS05,
author = {Z. Bai and K. Meerbergen and Y. Su},
title = {Arnoldi Methods for Structure-Preserving Dimension
Reduction of Second-Order Dynamical Systems},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
volume = {45},
pages = {173--189},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
year = {2005}
}
% alternatively
@inproceedings{BaiMS05cross,
author = {Z. Bai and K. Meerbergen and Y. Su},
title = {Arnoldi Methods for Structure-Preserving Dimension
Reduction of Second-Order Dynamical Systems },
note = {Chapter 7 (pages 173--189) of \cite{BenMS05}}
}
% Chapter 8
@inproceedings{Fre05,
author = {R. W. Freund},
title = {Pad\'e-Type Model Reduction of Second-Order and Higher-Order
Linear Dynamical Systems},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
volume = {45},
pages = {191--223},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
year = {2005}
}
% alternatively
@inproceedings{Fre05cross,
author = {R. W. Freund},
title = {Pad\'e-Type Model Reduction of Second-Order and Higher-Order
Linear Dynamical Systems},
note = {Chapter 8 (pages 191--223) of \cite{BenMS05}}
}
% Chapter 9
@inproceedings{Var05,
author = {A. Varga},
title = {Controller Reduction Using Accuracy-Enhancing Methods},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
volume = {45},
pages = {225--260},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
year = {2005}
}
% alternatively
@inproceedings{Var05cross,
author = {A. Varga},
title = {Controller Reduction Using Accuracy-Enhancing Methods},
note = {Chapter 9 (pages 225--260) of \cite{BenMS05}}
}
% Chapter 10
@inproceedings{HinV05,
author = {M. Hinze and S. Volkwein},
title = {Proper Orthogonal Decomposition Surrogate Models
for Nonlinear Dynamical Systems: Error Estimates and
Suboptimal Control},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
volume = {45},
pages = {261--306},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
year = {2005}
}
% alternatively
@inproceedings{HinV05cross,
author = {M. Hinze and S. Volkwein},
title = {Proper Orthogonal Decomposition Surrogate Models
for Nonlinear Dynamical Systems: Error Estimates and
Suboptimal Control},
note = {Chapter 10 (pages 261--306) of \cite{BenMS05}}
}
% Chapter 11
@inproceedings{KorR05,
author = {J.G. Korvink and E.B. Rudnyi},
title = {Oberwolfach Benchmark Collection},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
volume = {45},
pages = {311--315},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
year = {2005}
}
% alternatively
@inproceedings{KorRcross,
author = {J.G. Korvink and E.B. Rudnyi},
title = {Oberwolfach Benchmark Collection},
note = {Chapter 11 (pages 311--315) of \cite{BenMS05}}
}
% Chapter 12
@inproceedings{LieSLK05,
author = {J. Lienemann and B. Salimbahrami and B. Lohmann and J.G.
Korvink},
title = {A File Format for the Exchange of Nonlinear Dynamical
ODE Systems},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
volume = {45},
pages = {317--326},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
year = {2005}
}
% alternatively
@inproceedings{LieSLK05cross,
author = {J. Lienemann and B. Salimbahrami and B. Lohmann and J.G.
Korvink},
title = {A File Format for the Exchange of Nonlinear Dynamical
ODE Systems},
note = {Chapter 12 (pages 317--326) of \cite{BenMS05}}
}
% Chapter 13
@inproceedings{LieYK05,
author = {J. Lienemann and A. Yousefi and J.G.
Korvink},
title = {Nonlinear Heat Transfer Modeling},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
volume = {45},
pages = {327--331},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
year = {2005}
}
% alternatively
@inproceedings{LieYK05cross,
author = {J. Lienemann and A. Yousefi and J.G.
Korvink},
title = {Nonlinear Heat Transfer Modeling},
note = {Chapter 13 (pages 327--331) of \cite{BenMS05}}
}
% Chapter 14
@inproceedings{HilBW05,
author = {J. Hildenbrand and T. Bechtold and J. W\"ollenstein},
title = {Microhotplate Gas Sensor},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
volume = {45},
pages = {333--336},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
year = {2005}
}
% alternatively
@inproceedings{HilBW05cross,
author = {J. Hildenbrand and T. Bechtold and J. W\"ollenstein},
title = {Microhotplate Gas Sensor},
note = {Chapter 14 (pages 333--336) of \cite{BenMS05}}
}
% Chapter 15
@inproceedings{HohBZ05,
author = {D. Hohlfeld and T. Bechtold and H. Zappa},
title = {Tunable Optical Filter},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
volume = {45},
pages = {337--340},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
year = {2005}
}
% alternatively
@inproceedings{HohBZ05cross,
author = {D. Hohlfeld and T. Bechtold and H. Zappa},
title = {Tunable Optical Filter},
note = {Chapter 15 (pages 337--340) of \cite{BenMS05}}
}
% Chapter 16
@inproceedings{MooG05,
author = {C. Moosmann and A. Greiner},
title = {Convective Thermal Flow Problems},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
volume = {45},
pages = {341--343},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
year = {2005}
}
% alternatively
@inproceedings{MooG05cross,
author = {C. Moosmann and A. Greiner},
title = {Convective Thermal Flow Problems},
note = {Chapter 16 (pages 341--343) of \cite{BenMS05}}
}
% Chapter 17
@inproceedings{RudK05,
author = {E.B. Rudnyi and J.G. Korvink},
title = {Boundary Condition Independent Thermal Model},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
volume = {45},
pages = {345--348},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
year = {2005}
}
% alternatively
@inproceedings{RudK05cross,
author = {E.B. Rudnyi and J.G. Korvink},
title = {Boundary Condition Independent Thermal Model},
note = {Chapter 17 (pages 345--348) of \cite{BenMS05}}
}
% Chapter 18
@inproceedings{Bil05,
author = {D. Billger},
title = {The Butterfly Gyro},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
volume = {45},
pages = {349--352},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
year = {2005}
}
% alternatively
@inproceedings{Bil05cross,
author = {D. Billger},
title = {The Butterfly Gyro},
note = {Chapter 18 (pages 349--352) of \cite{BenMS05}}
}
% Chapter 19
@inproceedings{BenS05,
author = {P. Benner and J. Saak},
title = {A Semi-Discretized Heat Transfer Model for Optimal Cooling of
Steel Profiles},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
volume = {45},
pages = {353--356},
year = {2005}
}
% alternatively
@inproceedings{BenS05cross,
author = {P. Benner and J. Saak},
title = {A Semi-Discretized Heat Transfer Model for Optimal Cooling of
Steel Profiles},
note = {Chapter 19 (pages 353--356) of \cite{BenMS05}}
}
% Chapter 20
@inproceedings{WilL05,
author = {K. Willcox and G. Lassaux},
title = {Model Reduction of an Actively Controlled Supersonic
Diffuser},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
volume = {45},
pages = {357--361},
year = {2005}
}
% alternatively
@inproceedings{Wil05cross,
author = {K. Willcox and G. Lassaux},
title = {Model Reduction of an Actively Controlled Supersonic
Diffuser},
note = {Chapter 20 (pages 357--361) of \cite{BenMS05}}
}
% Chapter 21
@inproceedings{BaiMS05b,
author = {Z. Bai and K. Meerbergen and Y. Su},
title = {Second order Models: Linear-Drive Multi-Mode
Resonator and Axi Symmetric Model of a Circular Piston},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
volume = {45},
pages = {363--365},
year = {2005}
}
% alternatively
@inproceedings{BaiMS05bcross,
author = {Z. Bai and K. Meerbergen and Y. S},
title = {Second order Models: Linear-Drive Multi-Mode
Resonator and Axi Symmetric Model of a Circular Piston},
note = {Chapter 21 (pages 363--365) of \cite{BenMS05}}
}
% Chapter 22
@inproceedings{Fre05b,
author = {R. W. Freund},
title = {RCL Circuit Equations},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
volume = {45},
pages = {367--371},
year = {2005}
}
% alternatively
@inproceedings{Fre05bcross,
author = {R. W. Freund},
title = {RCL Circuit Equations},
note = {Chapter 22 (pages 367--371) of \cite{BenMS05}}
}
% Chapter 23
@inproceedings{LiK05,
author = {J.-R. Li and M. Kamon},
title = {{PEEC} Model of a Spiral Inductor Generated by {F}asthenry},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
volume = {45},
pages = {373--377},
year = {2005}
}
% alternatively
@inproceedings{LiK05cross,
author = {J.-R. Li and M. Kamon},
title = {{PEEC} Model of a Spiral Inductor Generated by {F}asthenry},
note = {Chapter 23 (pages 373--377) of \cite{BenMS05}}
}
% Chapter 24
@inproceedings{ChaV05b,
author = {Y. Chahlaoui and P. {Van Dooren}},
title = {Benchmark Examples for Model Reduction of Linear
Time-Invariant Dynamical Systems},
editor = {P. Benner and V. Mehrmann and D.C. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Science and Engineering},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
volume = {45},
pages = {379--392},
year = {2005}
}
% alternatively
@inproceedings{ChaV05bcross,
author = {Y. Chahlaoui and P. {Van Dooren}},
title = {Benchmark Examples for Model Reduction of Linear
Time-Invariant Dynamical Systems},
note = {Chapter 24 (pages 379--392) of \cite{BenMS05}}
}