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Numerické řešení inverzních integrálních rovnic matematického modelování ve výzkumu biopaliv Bílková, Zuzana ; Hnětynková, Iveta (advisor) ; Kofroň, Josef (referee) Název práce: Numerické řešení inverzních integrálních rovnic matema- tického modelování ve výzkumu biopaliv Autor: Zuzana Bílková Katedra / Ústav: Katedra numerické matematiky Vedoucí bakalářské práce: RNDr. Iveta Hnětynková, Ph.D., Katedra nu- merické matematiky MFF UK Abstrakt: Cílem této bakalářské práce je numerické řešení Fredholmových integrálních rovnic prvního řádu, které se vyskytují ve výzkumu biopaliv. Práce se zaměřuje na studium Lagrangových interpolačních kvadraturních formulí. Uvažujeme lichoběžníkové a Simpsonovo pravidlo s využitím ekvidistantního a logaritmického dělení. Cílem práce je srovnání těchto pravidel a nalezení nej- vhodnější metody. Práce se dále zabývá určením minimálního počtu naměře- ných dat tak, abychom dosáhli dané přesnosti. Poznatky jsou demonstrovány na numerických experimentech se simulovanými daty. Klíčová slova: inverzní integrální rovnice, kvadratura, konvergence, odhad chyby 1 Detailed record

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