##  [Wykład - Discrete Stability ](/node/4066) 

 ## Data wydarzenia

13.06.2022

 ## Udostępnij:



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  Wykład - Discrete Stability  ![Plakat](/sites/default/files/inline-images/wyk%C5%82ad2.wydarzeniefb.%20%282%29.jpeg)

Discrete Stability - The Perpetual Challenge in Numerical Approximation of Partial Differential Equations

Prof. Leszek Demkowicz

Oden Institute for Computational and Engineering Sciences University of Texas at Austin, USA

Streszczenie

Symulacje komputerowe stanowią niezbędną podstawę do złożonych projektów inżynierskich i badań naukowych. Używane są do analizy i projektowania budynków, mostów, samochodów, samolotów, statków i łodzi podwodnych, w poszukiwaniu ropy naftowej, oraz w badaniu i projektowania nowych materiałów i leków, światłowodów, linii produkcyjnych, czy pieluch. Większość modeli opisujących te zagadnienia wyrażona jest w terminach cząstkowych równań różniczkowych, które po dyskretyzacji MES lub MRS powinny spełniać warunek zbieżności do rozwiązania dokładnego.

Prof. Leszek Demkowicz w swojej 46-letniej karierze naukowej, po obu stronach oceanu, zajmuje się zagadnieniami dyskretyzacji w rozwiązywaniu praktycznych problemów oraz ich aspektami matematycznymi. W tym wykładzie przedstawi w historycznym ujęciu rozwój metod dyskretyzacji, przybliżając w terminach zrozumiałych dla ogólnego audytorium idę DYSKRETNEJ STABILNOŚCI i pojęcia z nią związane.

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)

Profesor Leszek Demkowicz

Oden Institute for Computational and Engineering Sciences

University of Texas at Austin, USA

Profesor Leszek Demkowicz jest światowej sławy badaczem o wybitnych osiągnięciach naukowych i organizacyjnych. Pełni funkcję zastępcy dyrektora Instytutu Inżynierii Obliczeniowej i Nauk (Institute for Computational Engineering and Sciences (ICES)) oraz kierownika Katedry Inżynierii Obliczeniowej i Nauk II W.A. „Tex” Moncrief, Jr. w ICES, będąc profesorem na Wydziale Inżynierii Lotniczej i Mechaniki Inżynieryjnej oraz profesorem na Wydziale Matematyki na Uniwersytecie Teksańskim w Austin, USA. Ukończył studia inżynierskie i matematyczne w Politechnice Krakowskiej i Uniwersytecie Jagiellońskim w Krakowie.

Jest autorem lub współautorem kilku monografii oraz ponad 220 publikacji w dziedzinie obliczeniowej matematyki i mechaniki. Jego zainteresowania naukowe obejmują analizę numeryczną, adaptacyjne metody elementów skończonych, zagadnienia propagacji fal, w tym akustykę, elastodynamikę i elektromagnetykę oraz CFD. W ostatniej dekadzie jego badania koncentrują się głównie na nieciągłej metodzie Petrowa-Galerkina.

Był redaktorem naczelnym czasopisma Computers and Mathematics with Applications (Elsevier, 2012-2018), zasiada w kolegiach redakcyjnych 11 czasopism międzynarodowych. Był współzałożycielem i pierwszym przewodniczącym Polskiego Towarzystwa Metod Komputerowych Mechaniki (PTMKM, 1991) oraz był przewodniczącym Amerykańskiego Towarzystwa Metod Obliczeniowych Mechaniki (USACM, 2016-2018).

Profesor Leszek Demkowicz za swoje osiągnięcia naukowe otrzymał wiele nagród i wyróżnień. Jest członkiem zagranicznym Polskiej Akademii Umiejętności.

Więcej na stronie <https://users.oden.utexas.edu/~leszek/>