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Zastosowania MOR
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ISBN10: 6207820177
ISBN13: 9786207820177
Publisher: Wydawnictwo Nasza Wiedza
Published: May 27 2025
Pages: 52
Weight: 0.18
Height: 0.12 Width: 6.00 Depth: 9.00
Language: Polish
ISBN13: 9786207820177
Publisher: Wydawnictwo Nasza Wiedza
Published: May 27 2025
Pages: 52
Weight: 0.18
Height: 0.12 Width: 6.00 Depth: 9.00
Language: Polish
Redukcja rzędu modelu to technika slużąca do zmniejszenia zlożoności obliczeniowej modeli matematycznych w symulacjach numerycznych. W ostatnich latach redukcja modeli stala się wszechobecnym narzędziem w wielu obszarach zastosowań, a co za tym idzie, przedmiotem badań wielu matematyków i inżynierów. W niniejszej książce do redukcji rzędu zastosowano metody mieszane. Wielomian mianownika zredukowanego modelu uzyskano za pomocą zmodyfikowanego klastrowania biegunów, metody równania stabilności i metody Routha. Licznik uzyskuje się metodą dzielenia czynników i aproksymacją Pade'a. Do redukcji ukladu wyższego rzędu ósmego do modeli zredukowanych drugiego rzędu zastosowano pięc metod mieszanych: aproksymację Pade'a - zmodyfikowane grupowanie biegunów, metodę dzielenia czynników, metodę równań stabilności, aproksymację Pade'a, metodę Routha, metodę dzielenia czynników - metodę Routha oraz aproksymację Pade'a - metodę równań stabilności.
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