Modelreduction - Interactive curriculae of TU Ilmenau

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module properties Modelreduction in degree program Bachelor Mathematik 2021
module number	201092
examination number	2400868
department	Department of Mathematics and Natural Sciences
ID of group	2416 (Analysis and Dynamical Systems)
module leader	Prof. Dr. Timo Reis
term	winter term only
language	Deutsch
credit points	5
on-campus program (h)	34
self-study (h)	116
obligation	elective module
exam	oral examination performance, 30 minutes
details of the certificate
link to Moodle course
teacher	Prof. Dr. Timo Reis
signup details for alternative examinations
maximum number of participants
previous knowledge and experience
learning outcome	Die Studierenden kennen nach der Vorlesung die grundlegenden Techniken der Modellreduktion. Sie besitzen die Fähigkeit, die allgemeinen Resultate auf Spezialfälle anzuwenden. Sie können konkrete Anwendungsbeispiele analysieren. Sie wissen, wie Modellreduktionsverfahren rechentechnisch realisiert werden können.
content	Modellreduktionsverfahren der mathematischen Systemtheorie, insbesondere balanciertes Abschneiden, Frequenzbereichs-Interpolationsverfahren, Krylovraum-Verfahren und Hauptraummethoden Numerische Verfahren zur Lösung hochdimensionaler Lyapunov- und Riccatigleichungen, insbesondere Smith-, ADI- und Newton-Kleinman-Verfahren
media of instruction and technical requirements for education and examination in case of online participation	Tafel, Beamer
literature / references	. Antoulas, Athanasios C. (2005). Approximation of Large-Scale Dynamical Systems. SIAM. . Benner, Peter; Fassbender, Heike (2014), "Model Order Reduction: Techniques and Tools" (PDF), Encyclopedia of Systems and Contro . Antoulas, A. C.; Sorensen, D. C.; Gugercin, S. (2001), "A survey of model reduction methods for large-scale systems" (PDF), Structured matrices in mathematics, computer science, and engineering, I (Boulder, CO, 1999), Contemporary Mathematics, vol. 280, Providence, RI: American Mathematical Society, pp. 193-219, . Benner, Peter; Cohen, Albert; Ohlberger, Mario; Willcox, Karen (2017). Model Reduction and Approximation: Theory and Algorithms. SIAM Publications
evaluation of teaching