Book chapters

[BC60] [new] Rechenzeitsparende Modellierung
Julia Vettermann, Quirin Aumann, Jens Saak, and Peter Benner
In Ch. Brecher (Ed.), Thermo-energetische Gestaltung von Werkzeugmaschinen (Praxishandbuch), pp. 199-212, 2025.
DOI: 10.1007/978-3-658-45180-6_13
[BC59] Structure-Preserving Model Reduction for Dissipative Mechanical Systems
Rebekka S. Beddig, Peter Benner, Ines Dorschky, Timo Reis, Paul Schwerdtner, Matthias Voigt, and Steffen W. R. Werner
In P. Eberhard (Ed.), Calm, Smooth and Smart, Lecture Notes in Applied and Computational Mechanics, Vol. 102, pp. 209-230, 2023.
DOI: 10.1007/978-3-031-36143-2_11
Preliminary version appeared as arXiv Preprint arXiv:2010.06331, [math.OC], October 2020.
[BC58] Feedback Control of Time-dependent Nonlinear PDEs with Applications in Fluid Dynamics
Peter Benner and Michael Hinze
In E. Trélat and E. Zuazua (Eds.), Handbook of Numerical Analysis, Numerical Control: Part B, Vol. 24, pp. 77-130, 2023.
DOI: 10.1016/bs.hna.2022.12.002
[BC57] Data-Driven Identification of Rayleigh-Damped Second-Order Systems
Igor Pontes Duff, Pawan Goyal, and Peter Benner
In C. Beattie, P. Benner, M. Embree, S. Gugercin, and S. Lefteriu (Eds.), Realization and Model Reduction of Dynamical Systems, A Festschrift in Honor of the 70th Birthday of Thanos Antoulas, Cham: Springer International Publishing, pp. 255-272, 2022.
DOI: 10.1007/978-3-030-95157-3_14
[BC56] An Adaptive Sampling Approach for the Reduced Basis Method
Sridhar Chellappa, Lihong Feng, and Peter Benner
In C. Beattie, P. Benner, M. Embree, S. Gugercin, and S. Lefteriu (Eds.), Realization and Model Reduction of Dynamical Systems, A Festschrift in Honor of the 70th Birthday of Thanos Antoulas, Cham: Springer International Publishing, pp. 137-155, 2022.
DOI: 10.1007/978-3-030-95157-3_8
[BC55] Model Order Reduction: Basic Concepts and Notation
Peter Benner, Stefano Grivet-Talocia, Alfio Quarteroni, Gianluigi Rozza, Wil Schilders, and Luís Miguel Silveira
In P. Benner, St. Grivet-Talocia, A. Quarteroni, G. Rozza, W. Schilders, and L. M. Silveira (Eds.), Model Order Reduction: Volume 1: System- and Data-Driven Methods and Algorithms, De Gruyter, pp. 2-14, 2021.
DOI: 10.1515/9783110498967-001
[BC54] Model Order Reduction based on Moment-Matching
Lihong Feng and Peter Benner
In P. Benner, St. Grivet-Talocia, A. Quarteroni, G. Rozza, W. Schilders, and L. M. Silveira (Eds.), Model Order Reduction: Volume 1: System- and Data-Driven Methods and Algorithms, De Gruyter, pp. 57-96, 2021.
DOI: 10.1515/9783110498967-003
[BC53] Efficient Gas Network Simulations
Christian Himpe, Sara Grundel, and Peter Benner
In P. Maaß, K. H. Küfer, and V. Schulz (Eds.), German Success Stories in Industrial Mathematics, Mathematics in Industry, Cham: Springer International Publishing, Vol. 35, pp. 17-22, 2022.
DOI: 10.1007/978-3-030-81455-7_4
[BC52] Adaptive Interpolatory MOR by Learning the Error Estimator in the Parameter Domain
Sridhar Chellappa, Lihong Feng, Valentin de la Rubia, and Peter Benner
In P. Benner, T. Breiten, H. Faßbender, M. Hinze, T. Stykel, and R. Zimmermann (Eds.), Model Reduction of Complex Dynamical Systems, Cham: Birkhäuser, Vol. 171, pp. 97-117, 2021.
DOI: 10.1007/978-3-030-72983-7_5
Preliminary version appeared as arXiv Preprint arXiv:2003.02569v1, [math.NA], March 2020.
[BC51] Clustering-Based Model Order Reduction for Nonlinear Network Systems
Peter Benner, Sara Grundel, and Petar Mlinarić
In P. Benner, T. Breiten, H. Faßbender, M. Hinze, T. Stykel, and R. Zimmermann (Eds.), Model Reduction of Complex Dynamical Systems, Cham: Birkhäuser, Vol. 171, pp. 75-96, 2021.
DOI: 10.1007/978-3-030-72983-7_4
Preliminary version appeared as arXiv Preprint arXiv:2003.06952v1, [cs.MS], March 2020.
[BC50] Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1 -- Philosophy, Features and Application for (Parametric) Model Order Reduction
Peter Benner, Martin Köhler, and Jens Saak
In P. Benner, T. Breiten, H. Faßbender, M. Hinze, T. Stykel, and R. Zimmermann (Eds.), Model Reduction of Complex Dynamical Systems, Cham: Birkhäuser, Vol. 171, pp. 369-392, 2021.
DOI: 10.1007/978-3-030-72983-7_18
Preliminary version appeared as arXiv Preprint arXiv:2003.02088, [cs.MS], March 2020.
[BC49] MORLAB – A Model Order Reduction Framework in MATLAB & Octave
Peter Benner and Steffen W. R. Werner
In A. M. Bigatti, J. Carette, J. H. Davenport, M. Joswig, and T. de Wolff (Eds.), Mathematical Software -- ICMS 2020, LNCS, Cham: Springer International Publishing, Vol. 12097, pp. 432-441, 2020.
DOI: 10.1007/978-3-030-52200-1\_43
[BC48] Power-to-Chemicals: A Superstructure Problem for Sustainable Syngas Production
Dominik Garmatter, Andrea Maggi, Marcus Wenzel, Shaimaa Monem, Mirko Hahn, Martin Stoll, Sebastian Sager, Peter Benner, and Kai Sundmacher
In S. Göttlich, M. Herty, and A. Milde (Eds.), Mathematical Modeling, Simulation and Optimization for Power Engineering and Management, Mathematics in Industry, Springer, Vol. 34, pp. 145-168, 2021.
DOI: 10.1007/978-3-030-62732-4_7
[BC47] MathEnergy – Mathematical Key Technologies for Evolving Energy Grids
Tanja Clees, Anton Baldin, Pepter Benner, Sara Grundel, Christian Himpe, Bernhard Klaassen, Ferdinand Küsters et al.
In S. Göttlich, M. Herty, and A. Milde (Eds.), Mathematical Modeling, Simulation and Optimization for Power Engineering and Management, Mathematics in Industry, Cham: Springer International Publishing, Vol. 34, pp. 233-262, 2021.
DOI: 10.1007/978-3-030-62732-4_11
[BC46] Data-Driven Identification of Rayleigh-Damped Second-Order Systems
Igor Pontes Duff, Pawan Goyal, and Peter Benner
In C. Beattie, P. Benner, M. Embree, S. Gugercin, and S. Lefteriu (Eds.), Realization and Model Reduction of Dynamical Systems – A Festschrift in Honor of 70th Birthday of Thanos Antoulas, Cham: Springer International Publishing, accepted 08 July 2020.
Preliminary version appeared as arXiv Preprint arXiv:1910.00838, [math.OC], October 2019.
[BC45] MORLAB - The Model Order Reduction LABoratory
Peter Benner and Steffen W. R. Werner
In P. Benner, T. Breiten, H. Faßbender, M. Hinze, T. Stykel, and R. Zimmermann (Eds.), Model Reduction of Complex Dynamical Systems, Cham: Birkhäuser, Vol. 171, pp. 393-415, published online, 2021.
DOI: 10.1007/978-3-030-72983-7_19
Preliminary version appeared as arXiv Preprint arXiv:2002.12682, [cs.MS], February 2020.
[BC44] On the Eigenvalue Distribution for a Beam with Attached Masses
Julia Kalosha, Alexander Zuyev and Peter Benner
In G. Sklyar and A. Zuyev (Eds.), Stabilization of Distributed Parameter Systems: Design Methods and Applications, Cham: Springer International Publishing, Vol. 2, pp. 43-56, 2021.
DOI: 10.1007/978-3-030-61742-4_3
Preliminary version appeared as arXiv Preprint arXiv:2006.00610, [math.OC], May 2020.
[BC43] Stabilization of Crystallization Models Governed by Hyperbolic Systems
Alexander Zuyev and Peter Benner
In G. Sklyar and A. Zuyev (Eds.), Stabilization of Distributed Parameter Systems: Design Methods and Applications, Cham: Springer International Publishing, Vol. 2, pp. 123-135, 2021.
DOI: 10.1007/978-3-030-61742-4_8
Preliminary version appeared as arXiv Preprint arXiv:2006.00616, [math.OC], May 2020.
[BC42] An Adaptive Sampling Approach for the Reduced Basis Method
Sridhar Chellappa, Lihong Feng, and Peter Benner
In C. Beattie, P. Benner, M. Embree, S. Gugercin, and S. Lefteriu (Eds.), Realization and Model Reduction of Dynamical Systems – A Festschrift in Honor of 70th Birthday of Thanos Antoulas, Cham: Springer International Publishing, accepted March 2020.
Preliminary version appeared as arXiv Preprint arXiv:1910.00298, [math.NA], October 2019.
[BC41] Optimal Control of the Stochastic Navier-Stokes Equations
Peter Benner and Christoph Trautwein
In W. Grecksch and H. Lisei (Eds.), Infinite Dimensional and Finite Dimensional Stochastic Equations and Applications in Physics, pp. 161-211, Singapore: World Scientific Publishing, 2020.
DOI: 10.1142/9789811209796_0004
[BC40] Computational Experience with a Modified Newton Solver for Discrete-Time Algebraic Riccati Equations
Vasile Sima and Peter Benner
In O. Gusikhin and K. Madani (Eds.), Informatics in Control, Automation and Robotics, ICINCO 2018, Lecture Notes in Electrical Engineering, July 29-31, 2018, Porto, Portugal, Vol. 613, pp. 142-167, Cham: Springer International Publishing, 2020.
DOI: 10.1007/978-3-030-31993-9_7
[BC39] Model Order Reduction: Techniques and Tools
Peter Benner and Heike Faßbender
In J. Baillieul and T. Samad (Eds.), Encyclopedia of Systems and Control, Springer-Verlag, pp. 1-8, 2019. [ISBN: 978-1-4471-5102-9]
DOI: 10.1007/978-1-4471-5102-9_142-2
Updated and revised version of BC19.
[BC38] Reduced Models and Uncertainty Quantification
Yao Yue, Lihong Feng, Peter Benner, Roland Pulch, Sebastian Schöps
In E. J. W. ter Maten, H.-G. Brachtendorf, R. Pulch, and W. Schoenmaker (Eds.), Nanoelectronic Coupled Problems Solutions, Mathematics in Industry, Vol. 29, pp. 329-346, 2019.
DOI: 10.1007/978-3-030-30726-4_15
[BC37] Sparse (P)MOR for Electro-Thermal Coupled Problems with Many Inputs
Nicodemus Banagaaya, Lihong Feng, and Peter Benner
In E. J. W. ter Maten, H.-G. Brachtendorf, R. Pulch, and W. Schoenmaker (Eds.), Nanoelectronic Coupled Problems Solutions, Mathematics in Industry, Vol. 29, pp. 311-328, 2019.
DOI: 10.1007/978-3-030-30726-4_14
[BC36] Parametric Model Order Reduction for Electro-Thermal Coupled Problems
Lihong Feng and Peter Benner
In E. J. W. ter Maten, H.-G. Brachtendorf, R. Pulch, and W. Schoenmaker (Eds.), Nanoelectronic Coupled Problems Solutions, Mathematics in Industry, Vol. 29, pp. 293-309, 2019.
DOI: 0.1007/978-3-030-30726-4_13
[BC35] Gas Network Benchmark Models
Peter Benner, Sara Grundel, Christian Himpe, Christoph Huck, Tom Streubel, and Caren Tischendorf
In S. Campbell, A. Ilchmann, V. Mehrmann, and T. Reis (Eds.), Applications of Differential-Algebraic Equations: Examples and Benchmarks, pp. 171-197, 2018.
DOI: 10.1007/11221_2018_5
[BC34] GPU Accelerated and Storage-Efficient Implementation of the QR Decomposition
Peter Benner, Martin Köhler, and Carolin Penke
In S. Bassini, M. Danelutto, P. Dazzi, G. R. Joubert, and F. Peters (Eds.), Parallel Computing is Everywhere, Vol. 32, pp. 329-338, 2018
DOI: 10.3233/978-1-61499-843-3-329
[BC33] A Direct Index 1 DAE Model of Gas Networks
Peter Benner, Maike Braukmüller, and Sara Grundel
In W. Keiper, A. Milde, and S. Volkwein (Eds.), Reduced-Order Modeling (ROM) for Simulation and Optimization, pp. 99-119, Springer, Cham, 2018.
DOI: 10.1007/978-3-319-75319-5_5
[BC32] An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to Navier-Stokes Equations
Peter Benner and Pawan Goyal
In W. Keiper, A. Milde, and S. Volkwein (Eds.), Reduced-Order Modeling (ROM) for Simulation and Optimization, pp. 1-19, Springer, Cham, 2018.
DOI: 10.1007/978-3-319-75319-5_1
Preliminary version appeared as arXiv Preprint arXiv:1705.00934, April 2017.
[BC31] Reduced Representation of Power Grid Models
Peter Benner and André Schneider
In P. Benner (Ed.), System Reduction for Nanoscale IC Design, Mathematics in Industry, Vol. 20, pp. 87-134, Springer International Publishing, Cham, 2017.
DOI: 10.1007/978-3-319-07236-4_3
[BC30] Comparison of Methods for Parametric Model Order Reduction of Time-Dependent Problems
Ulrike Baur, Peter Benner, Bernard Haasdonk, Christian Himpe, Immanuel Maier, and Mario Ohlberger
In P. Benner, A. Cohen, M. Ohlberger, and K. Willcox (Eds.), Model Reduction and Approximation: Theory and Algorithms, Chapter 9, pp. 377-407, SIAM Publications, Philadelphia, PA, 2017.
DOI: 10.1137/1.9781611974829.ch9
Preliminary version appeared as MPI Magdeburg Preprint MPIMD/15-01, February 2015.
[BC29] Model Order Reduction Based on System Balancing
Peter Benner and Tobias Breiten
In P. Benner, A. Cohen, M. Ohlberger, and K. Willcox (Eds.), Model Reduction and Approximation: Theory and Algorithms, Chapter 6, pp. 261-295, SIAM Publications, Philadelphia, PA, 2017.
DOI: 10.1137/1.9781611974829
[BC28] Truncated Gramians for Bilinear Systems and their Advantages in Model Order Reduction
Peter Benner, Pawan Goyal, and Martin Redmann
In P. Benner, M. Ohlberger, T. Patera, G. Rozza, and K. Urban (Eds.), Model Reduction of Parametrized Systems, MS&A - Modeling, Simulation and Applications, Springer International Publishing, Cham, Vol. 17, pp. 285-300, 2017.
DOI: 10.1007/978-3-319-58786-8_18
[BC27] Reduced Basis Approximations for Maxwell’s Equations in Dispersive Media
Peter Benner and Martin W. Hess
In P. Benner, M. Ohlberger, T. Patera, G. Rozza, and K. Urban (Eds.), Model Reduction of Parametrized Systems, MS&A - Modeling, Simulation and Applications, Springer International Publishing, Cham, Vol. 17, pp. 107-119, 2017.
DOI: 10.1007/978-3-319-58786-8_7
[BC26] Model Order Reduction for Differential-Algebraic Equations: a Survey
Peter Benner and Tatjana Stykel
In A. Ilchmann and T. Reis (Eds.), Surveys in Differential-Algebraic Equations IV, Differential-Algebraic Equations Forum, Springer International Publishing, pp. 107-160, 2017.
DOI: 10.1007/978-3-319-46618-7_3
A preliminary version is available as MPI Magdeburg Preprint MPIMD/15-19, November 2015.
[BC25] Theory and Numerical Solution of Differential and Algebraic Riccati Equations
Peter Benner
In P. Benner, M. Bollhöfer, D. Kressner, Ch. Mehl, and T. Stykel (Eds.), Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, Part I, pp. 67-105, Springer International Publishing, 2015.
DOI: 10.1007/978-3-319-15260-8_4
[BC24] Numerical Linear Algebra Methods for Linear Differential-Algebraic Equations
Peter Benner, Philip Losse, Volker Mehrmann, and Matthias Voigt
In A. Ilchmann and T. Reis (Eds.), Surveys in Differential-Algebraic Equations III, pp. 117-175, Differential-Algebraic Equations Forum, Springer International Publishing, 2015.
DOI: 10.1007/978-3-319-22428-2_3
A preliminary version with slightly different focus is available as Preprint [TR26]
[BC23] Matrix Equations and Model Reduction
Peter Benner, Tobias Breiten, and Lihong Feng
In Z. Bai, W. Gao, and Y. Su (Eds.), Matrix Functions and Matrix Equations, Series in Contemporary Applied Mathematics, Chapter 3, pp. 50-75, World Scientific, 2015.
DOI: 10.1142/9789814675772_0003
[BC22] Model Order Reduction for Thermo-Elastic Assembly Group Models
Peter Benner, Norman Lang, and Jens Saak
In K. Großmann (Ed.), Thermo-energetic Design of Machine Tools, Lecture Notes in Production Engineering, Chapter 8/pp.85-93, Springer International Publishing, 2015. [ISBN: 978-3-319-12624-1]
DOI: 10.1007/978-3-319-12625-8_8
[BC21] LQG-Balanced Truncation Low-Order Controller for Stabilization of Laminar Flows
Peter Benner and Jan Heiland
In R. King (Ed.), Active Flow and Combustion Control 2014, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Vol. 127, pp. 365-379, Springer International Publishing, 2015. [ISBN: 978-3-319-11966-3]
DOI: 10.1007/978-3-319-11967-0_22
Preliminary version appeared as MPI Magdeburg Preprint MPIMD/14-04, March 2014.
[BC20] Model Order Reduction of Differential Algebraic Equations Arising from the Simulation of Gas Transport Networks
Sara Grundel, Lennart Jansen, Nils Hornung, Tanja Clees, Caren Tischendorf, and Peter Benner
In S. Schöps, A. Bartel, M. Günther, E. J. W. ter Maten, and P. C. Müller (Eds.), Progress in Differential-Algebraic Equations, Differential-Algebraic Equations Forum, pp. 183-205, Springer-Verlag, Berlin/Heidelberg, 2014. [ISBN: 978-3-662-44925-7]
DOI: 10.1007/978-3-662-44926-4_9
Preliminary version appeared as MPI Magdeburg Preprint MPIMD/13-09, June 2013.
[BC19] Model Order Reduction: Techniques and Tools
Peter Benner and Heike Faßbender
In J. Baillieul and T. Samad (Eds.), Encyclopedia of Systems and Control, Springer-Verlag, pp. 722-729, 2015. [ISBN: 978-1-4471-5057-2]
DOI: 10.1007/978-1-4471-5058-9_142
[BC18] Model Reduction
Peter Benner
In N. J. Higham et al. (Eds.), Princeton Companion to Applied Mathematics, Princeton University Press, Princeton, NJ., Part II-26, pp. 117-119, 2015.
[BC17] Model Order Reduction for PDE Constrained Optimization
Peter Benner, Ekkehard Sachs, and Stefan Volkwein
In G. Leugering, P. Benner, S. Engell, A. Griewank, H. Harbrecht, M. Hinze, R. Rannacher, and S. Ulbrich (Eds.), Trends in PDE Constrained Optimization, International Series of Numerical Mathematics, Vol. 165, pp. 303-326, Birkhäuser, Basel, 2014. [ISBN: 978-3-319-05082-9]
DOI: 10.1007/978-3-319-05083-6_19
[BC16] Optimal Control-Based Feedback Stabilization of Multi-Field Flow Problems
Eberhard Bänsch, Peter Benner, Jens Saak, and Heiko K. Weichelt
In G. Leugering, P. Benner, S. Engell, A. Griewank, H. Harbrecht, M. Hinze, R. Rannacher, and S. Ulbrich (Eds.), Trends in PDE Constrained Optimization, International Series of Numerical Mathematics, Vol. 165, pp. 173-188, Birkhäuser, Basel, 2014. [ISBN: 978-3-319-05082-9]
DOI: 10.1007/978-3-319-05083-6_11
[BC15] A Robust Algorithm for Parametric Model Order Reduction Based on Implicit Moment Matching
Peter Benner and Lihong Feng
In A. Quarteroni and G. Rozza (Eds.), Reduced Order Methods for Modeling and Computational Reduction, MS&A - Modeling, Simulation and Applications, Vol. 9, pp. 159-185, Springer International Publishing, 2014. [ISBN: 978-1-4614-7550-7]
DOI: 10.1007/978-3-319-02090-7_6
[BC14] Control Theory
Peter Benner
In Leslie Hogben (Ed.), Handbook of Linear Algebra, Second Edition, Chapter 80, Chapman & Hall/CRC, 2014. [ISBN: 978-1-4665-0728-9]
Updated and revised version of BC8.
[BC13] Computing Surrogates for Gas Network Simulation using Model Order Reduction
Sara Grundel, Nils Hornung, Bernhard Klaassen, Peter Benner, and Tanja Clees
In S. Koziel and L. Leifsson (Eds.), Surrogate-Based Modeling and Optimization, pp. 189-212, Springer-Verlag, 2013. [ISBN: 978-1-4614-7550-7]
DOI: 10.1007/978-1-4614-7551-4_9
[BC12] Unleashing CPU-GPU Acceleration for Control Theory Applications
Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón
In I. Caragiannis et al. (Eds.), Euro-Par 2012, Parallel Processing Workshops., Lecture Notes in Computer Science, Vol. 7640, pp. 102-111, Springer-Verlag, Berlin/Heidelberg, 2013. [ISBN: 978-3-642-36948-3]
DOI: 10.1007/978-3-642-36949-0_13
[BC11] System-Level Modeling of MEMS by Means of Model Order Reduction (Mathematical Approximations) - Mathematical Background
Lihong Feng, Peter Benner, and Jan G. Korvink
In T. Bechthold, G. Schrag, and L. Feng (Eds.), System-Level Modeling of MEMS, Advanced Micro & Nanosystems, Vol. 10, pp. 53-93, Wiley-VCH Verlag, Weinheim, Germany, 2013. [ISBN-13: 978-3-5273-1903-9]
DOI: 10.1002/9783527647132.ch3
[BC10] Stabilization of Incompressible Flow Problems by Riccati-Based Feedback
Eberhard Bänsch and Peter Benner
In G. Leugering, S. Engell, A. Griewank, M. Hinze, R. Rannacher, V. Schulz, M. Ulbrich, and S. Ulbrich (Eds.), Constrained Optimization and Optimal Control for Partial Differential Equations, International Series of Numerical Mathematics, Vol. 160, pp. 5-20, Birkhäuser, Basel, 2012.
DOI: 10.1007/978-3-0348-0133-1
[BC9] Partial Stabilization of Descriptor Systems Using Spectral Projectors
Peter Benner
In P. Van Dooren, S. Bhattacharyya, R. Chan, V. Olshevsky, and A. Routray (Eds.), Numerical Linear Algebra in Signals, Systems and Control, Lecture Notes in Electrical Engineering, Vol. 80, pp. 55-76, Springer-Verlag, Dordrecht, 2011.
DOI: 10.1007/978-94-007-0602-6_3
[BC8]  Control Theory
Peter Benner
In Leslie Hogben (Ed.), Handbook of Linear Algeba, Chapter 57, Chapman & Hall/CRC, 2006.[ISBN-13: 978-1-58488-510-8]
[BC7]  Numerical Solution of Optimal Control Problems for Parabolic Systems
Peter Benner, Sabine Görner, and Jens Saak
In K.-H. Hoffmann and A. Meyer (Eds.), Parallel Algorithms and Cluster Computing: Implementations, Algorithms and Applications, Vol. 52 of Lecture Notes in Computational Science and Engineering, pp. 151-169, Springer-Verlag, Berlin, Heidelberg, New York, 2006. [ISBN/ISSN: 3-540-33539-0]
DOI: 10.1007/3-540-33541-2_9
[BC6] Model Reduction Based on Spectral Projection Methods
Peter Benner and Enrique S. Quintana-Ortí
In P. Benner, V. Mehrmann, and D.C. Sorensen (Eds.), Dimension Reduction of Large-Scale Systems, Ch. 1, Lecture Notes in Computational Science and Engineering, Vol. 45, pp. 5-48, Springer-Verlag, Berlin/Heidelberg, June 2005.
DOI: 10.1007/3-540-27909-1_1
[BC5] A Semi-Discretized Heat Transfer Model for Optimal Cooling of Steel Profiles
Peter Benner and Jens Saak
In P. Benner, V. Mehrmann, and D.C. Sorensen (Eds.), Dimension Reduction of Large-Scale Systems, Ch. 19, Lecture Notes in Computational Science and Engineering, Vol. 45, pp. 353-356, Springer-Verlag, Berlin/Heidelberg, June 2005.
DOI: 10.1007/3-540-27909-1_19
[BC4] Skew-Hamiltonian and Hamiltonian Eigenvalue Problems: Theory, Algorithms and Applications
Peter Benner, Daniel Kressner, and Volker Mehrmann
In Z. Drmač, M. Marušić, and Z. Tutek (Eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, pp. 3-39. Springer-Verlag, 2005. [ISBN: 978-1-4020-3196-0]
DOI: 10.1007/1-4020-3197-1_1
[BC3] A Model Reduction Web Environment for Very Large Linear Dynamical Systems
Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí
In V.Y. Pan and L.T. Yang (Eds.), Parallel and Distributed Scientific and Engineering Computing: Practice and Experience, Advances in Computation: Theory and Practice, Vol. 15, pp. 23-33, NOVA Science Publishers, Hauppauge, NY, 2004. [ISBN:1-59033-956-8]
[BC2] A Portable Subroutine Library for Solving Linear Control Problems on Distributed Memory Computers
Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí
In G. Cooperman, E. Jessen, and G.O. Michler (Eds.), Workshop on Wide Area Networks and High Performance Computing, Essen (Germany), September 1998, Lecture Notes in Control and Information, Vol. 249, pp. 61-87, Springer-Verlag, Berlin/Heidelberg, 1999. [ISBN: 1-85233-642-0]
DOI: 10.1007/BFb0110079
The retrievable version is NICONET Report 1999-1, Working Group on Software, January 1999.
[BC1] Numerical Methods for Linear Quadratic and H∞ Control Problems
Peter Benner, Ralp Byers, Volker Mehrmann, and Hongguo Xu
In G. Picci and D.S. Gilliam (Eds.), Dynamical Systems, Control, Coding, Computer Vision: New Trends, Interfaces, and Interplay, Vol. 25 of Progress in Systems and Control Theory, pp. 203-222, Birkhäuser, Basel, 1999. [ISBN: 978-3-0348-9848-5]
DOI: 10.1007/978-3-0348-8970-4_10