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master's thesis
Dinamička modalna dekompozicija u realnom vremenu
Zagreb: University of Zagreb, Faculty of Science, 2018. urn:nbn:hr:217:503989
Poletar, Matej
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Poletar, M. (2018). Dinamička modalna dekompozicija u realnom vremenu (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:503989

Poletar, Matej. "Dinamička modalna dekompozicija u realnom vremenu." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:503989

Poletar, Matej. "Dinamička modalna dekompozicija u realnom vremenu." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:503989

Poletar, M. (2018). 'Dinamička modalna dekompozicija u realnom vremenu', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:503989

Poletar M. Dinamička modalna dekompozicija u realnom vremenu [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2018 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:503989

M. Poletar, "Dinamička modalna dekompozicija u realnom vremenu", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:217:503989

Metadata
TitleDinamička modalna dekompozicija u realnom vremenu
AuthorMatej Poletar
MentorZlatko Drmač (mentor)
Committee memberZlatko Drmač (predsjednik povjerenstva)
Committee memberEduard Marušić-Paloka (član povjerenstva)
Committee memberSaša Singer (član povjerenstva)
Committee memberBoris Muha (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2018-07-18, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Dinamička modalna dekompozicija (textit{Dynamic Mode Decomposition, DMD) je metoda originalno razvijena za numeričke simulacije u dinamici fluida i pokazala se uspješnom u analizi tzv. koherentnih struktura. U praktičnoj realizaciji je često kombinirana s Proper Orthogonal Decomposition (POD). DMD je posebno prikladna u tzv. data driven scenarijima, kada se iz niza dobivenih podataka empirijski gradi model kojeg se može koristiti za kontrolu i/ili predviđanje budućih vrijednosti. U slučaju simulacija u realnom vremenu i s vremenski promjenjivim koeficijentima nužno je koristiti podatke iz klizećeg vremenskog prozora ograničene širine koji uključuje najnovije podatke. Pri tome se DMD mora u svakom koraku obnavljati, što zahtijeva nove efikasne algoritme. U ovoj radnji su proučeni takvi algoritmi s primjenama na odabranim primjerima.
Abstract (english)
Dynamic Mode Decomposition (DMD) is method originally developed for numerical simulations in fluid dynamics and it has been well used in analysis of coherent structures. In practice, it often goes with Proper Orthogonal Decomposition. DMD is especially suitable for analysis of data-driven scenarios, where model is empirically built from sequence of input data and can be used for control and/or anticipation of future states. For real-time simulations and with variable coefficients in time, usage of data from sliding width-limited time window which includes most recent data is mandatory. In that case DMD has to be renewed in each step, which requires new efficient algorithms. In this work, such algorithms have been studied in selected examples.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:503989
Study programmeTitle: Applied Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-06-10 12:26:12