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  • 1
    Online Resource
    Online Resource
    Berlin :Springer Spektrum, | Berlin :Springer Berlin Heidelberg.
    UID:
    almafu_BV049640818
    Format: 1 Online-Ressource (XIV, 259 Seiten) : , Illustrationen, Diagramme.
    ISBN: 978-3-662-67493-2
    Series Statement: Springer Studium Mathematik (Master)
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-662-67492-5
    Language: German
    Subjects: Mathematics
    RVK:
    Keywords: Ordnungsreduktion ; Lineares zeitinvariantes System
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: Volltext  (URL des Erstveröffentlichers)
    Author information: Benner, Peter 1967-
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    UID:
    almahu_BV047461199
    Format: xiii, 415 Seiten : , Illustrationen, Diagramme (teilweise farbig).
    ISBN: 978-3-030-72982-0
    Series Statement: International series of numerical mathematics volume 171
    Note: Konferenzangaben aus dem Vorwort.
    Additional Edition: Erscheint auch als Online-Ausgabe, PDF ISBN 978-3-030-72983-7 10.1007/978-3-030-45247-6
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Konferenzschrift ; Aufsatzsammlung ; Konferenzschrift
    Author information: Stykel, Tatjana 1973-
    Author information: Benner, Peter, 1967-,
    Author information: Hinze, Michael.
    Author information: Zimmermann, Ralf, 1978-
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  • 3
    Online Resource
    Online Resource
    Boston, MA : Kluwer Academic Publishers
    UID:
    gbv_524967113
    Format: Online-Ressource , v.: digital
    Edition: Online-Ausg. Springer-11645
    Edition: Springer eBook Collection. Computer Science
    ISBN: 9780306469787
    Content: Preliminaries -- The Butterfly Form for Symplectic Matrices and Matrix Pencils -- Butterfly SR and SZ Algorithms -- The Symplectic Lanczos Algorithm -- Concluding Remarks.
    Content: The solution of eigenvalue problems is an integral part of many scientific computations. For example, the numerical solution of problems in structural dynamics, electrical networks, macro-economics, quantum chemistry, and c- trol theory often requires solving eigenvalue problems. The coefficient matrix of the eigenvalue problem may be small to medium sized and dense, or large and sparse (containing many zeroelements). In the past tremendous advances have been achieved in the solution methods for symmetric eigenvalue pr- lems. The state of the art for nonsymmetric problems is not so advanced; nonsymmetric eigenvalue problems can be hopelessly difficult to solve in some situations due, for example, to poor conditioning. Good numerical algorithms for nonsymmetric eigenvalue problems also tend to be far more complex than their symmetric counterparts. This book deals with methods for solving a special nonsymmetric eig- value problem; the symplectic eigenvalue problem. The symplectic eigenvalue problem is helpful, e.g., in analyzing a number of different questions that arise in linear control theory for discrete-time systems. Certain quadratic eigenvalue problems arising, e.g., in finite element discretization in structural analysis, in acoustic simulation of poro-elastic materials, or in the elastic deformation of anisotropic materials can also lead to symplectic eigenvalue problems. The problem appears in other applications as well.
    Additional Edition: ISBN 9780306464782
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9781441933461
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9780306464782
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9781475786613
    Language: English
    Keywords: Matrix ; Eigenwertproblem ; Algorithmus
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  • 4
    UID:
    b3kat_BV049698869
    Format: XXIV, 164 Seiten , Illustrationen, Diagramme
    Note: Dissertation Technische Universität Carolo-Wilhelmina zu Braunschweig 2023 , Zusammenfassung in deutscher und englischer Sprache
    Additional Edition: Erscheint auch als Online-Ausgabe
    Language: English
    Keywords: Hochschulschrift
    Author information: Köhler, Jürgen 1954-
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  • 5
    UID:
    gbv_1769720936
    Format: 1 Online-Ressource (XIII, 415 p. 128 illus., 100 illus. in color.)
    ISBN: 9783030729837
    Series Statement: International Series of Numerical Mathematics 171
    Content: D. S. Karachlios, I. V. Gosea, A. C. Antoulas, On Bilinear Time Domain Identification and Reduction in the Loewner Framework -- Nguyen Thanh Son, Pierre-Yves Gousenbourger, Estelle Massart, Tatjana Stykel, Balanced Truncation for Parametric Linear Systems using Interpolation of Gramians: A Comparison of Algebraic and Geometric Approaches -- Ion Victor Gosea, Igor Pontes Duff, Toward Fitting Structured Nonlinear Systems by Means of Dynamic Mode Decomposition -- Peter Benner, Sara Grundel, Petar Mlinaric, Clustering-Based Model Order Reduction for Nonlinear Network Systems -- Sridhar Chellappa, Lihong Feng, Valentin de la Rubia, Peter Benner, Adaptive Interpolatory MOR by Learning the Error Estimator in the Parameter Domain -- C. Bertram, H. Fassbender, A Link Between Gramian Based Model Order Reduction and Moment Matching -- Christian Himpe, Comparing (Empirical-Gramian-Based) Model Order Reduction Algorithms -- Rupert Ullmann, Stefan Sicklinger, Gerhard Müller, Optimiztion-Based Parametric Model Order Reduction for the Application to the Frequency Domain Analysis of Complex Systems -- Sajad Naderi Lordejani, Bart Besselink, Antoine Chaillet, Nathan van de Wouw, On Extended Model Order Reduction for Linear Time Delay Systems.-Artur Jungiewicz, Christoph Ludwig, Shuwen Sun, Utz Wever, Roland Wüchner, A Practical Method for the Reduction of Linear Thermo-mechanical Dynamic Equations -- Saifon Chaturantabut, Thomas Freeze, Elias Salomão Helou, Nicole Henning-Schroeder, Charles H. Lee, Reduced Order Methods in Medical Imaging -- Harikrishnan K. Sreekumar, Rupert Ullmann, Stefan Sicklinger, Sabine C. Langer, Efficient Krylov Subspace Techniques for Model Order Reduction of Automotive Structures for Vibroacoustic Applications -- Gaetano Pascarella, Marco Fossati, Model-Based Adaptive MOR Framework for Unsteady Flows around Lifting Bodies -- Michael Hinze, Denis Korolev, Reduced Basis Methods for Quasilinear Elliptic PDEs with Applications to Permanent Magnet Synchronous Motors -- Süleyman Yildiz, Murat Unzuca, Bülent Karasözen, Structure-Preserving Reduced Order Modeling of Non-Traditional Shallow Water Equation -- Stephan Rave, Jens Saak, A Non-Stationary Thermal-Block Benchmark Model for Parametric Model Order Reduction -- Petar Mlinaric, Stephan Rave, Jens Saak, Parametric Model Order Reduction Using pyMOR -- Peter Benner, Martin Köhler, Jens Saak, Matrix Equations, Sparse Solvers: M.E.S.S.-2.0.1 - Philosophy, Features and Application for (Parametric) Model Order Reduction -- Peter Benner, Steffen W. R. Werner, MORLAB - The Model Order Reduction LABoratory. .
    Content: This contributed volume presents some of the latest research related to model order reduction of complex dynamical systems with a focus on time-dependent problems. Chapters are written by leading researchers and users of model order reduction techniques and are based on presentations given at the 2019 edition of the workshop series Model Reduction of Complex Dynamical Systems – MODRED, held at the University of Graz in Austria. The topics considered can be divided into five categories: system-theoretic methods, such as balanced truncation, Hankel norm approximation, and reduced-basis methods; data-driven methods, including Loewner matrix and pencil-based approaches, dynamic mode decomposition, and kernel-based methods; surrogate modeling for design and optimization, with special emphasis on control and data assimilation; model reduction methods in applications, such as control and network systems, computational electromagnetics, structural mechanics, and fluid dynamics; and model order reduction software packages and benchmarks. This volume will be an ideal resource for graduate students and researchers in all areas of model reduction, as well as those working in applied mathematics and theoretical informatics.
    Additional Edition: ISBN 9783030729820
    Additional Edition: ISBN 9783030729844
    Additional Edition: ISBN 9783030729851
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783030729820
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783030729844
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783030729851
    Additional Edition: Erscheint auch als Druck-Ausgabe Workshop on Model Reduction of Complex Dynamical Systems (4. : 2019 : Graz) Model reduction of complex dynamical systems Cham : Birkhäuser, 2021 ISBN 9783030729820
    Language: English
    Keywords: Modellordnungsreduktion ; Dynamisches System ; Konferenzschrift
    Author information: Hinze, Michael
    Author information: Stykel, Tatjana 1973-
    Author information: Benner, Peter 1967-
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  • 6
    Book
    Book
    New York [u.a.] : Kluwer Academic/Plenum Publishers
    UID:
    gbv_319232395
    Format: XIV, 269 S , graph. Darst , 24 cm
    ISBN: 0306464780
    Note: Literaturverz. S. 251 - 263 , Zugl.: Bremen, Univ., Habil.-Schr.
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    RVK:
    Keywords: Matrix ; Eigenwertproblem ; Algorithmus
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  • 7
    UID:
    b3kat_BV047461199
    Format: xiii, 415 Seiten , Illustrationen, Diagramme (teilweise farbig)
    ISBN: 9783030729820
    Series Statement: International series of numerical mathematics volume 171
    Note: Konferenzangaben aus dem Vorwort.
    Additional Edition: Erscheint auch als Online-Ausgabe, PDF ISBN 978-3-030-72983-7 10.1007/978-3-030-45247-6
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Konferenzschrift ; Aufsatzsammlung
    Author information: Hinze, Michael
    Author information: Stykel, Tatjana 1973-
    Author information: Zimmermann, Ralf 1978-
    Author information: Benner, Peter 1967-
    Library Location Call Number Volume/Issue/Year Availability
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