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250067 VO Angewandte Analysis (2013W)
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Mi, Do, 12.45 - 14.15 Uhr,
Ort: WPI Seminarraum 8. Stock OMP1
Ort: WPI Seminarraum 8. Stock OMP1
Details
Sprache: Englisch
Prüfungstermine
Lehrende
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Information
Ziele, Inhalte und Methode der Lehrveranstaltung
Art der Leistungskontrolle und erlaubte Hilfsmittel
Mindestanforderungen und Beurteilungsmaßstab
The goal is to provide an introduction to the methods of applied analysis and apply these methods to physical systems of current interest. Questions answered are: how can we model (selected) physical systems? Which mathematical tools can we use? What are the properties of our models? Do unique solutions of the model equations exist?
Prüfungsstoff
Dimensionless variables, scaling, perturbations; continuum mechanics;
multi-scale problems; homogenization; Boltzmann equation; overview of
numerical methods; modeing and simulations in applications.
multi-scale problems; homogenization; Boltzmann equation; overview of
numerical methods; modeing and simulations in applications.
Literatur
Zuordnung im Vorlesungsverzeichnis
MAMA
Letzte Änderung: Mi 19.08.2020 08:05
connection of analysis to modeling. Regular and singular perturbation theory is introduced as a tool for asymptotic expansions in the context of model hierarchies. Other topics are homogenization of PDE and the Boltzmann equation with its model hierarchy up to the Euler equations. Applications in science and technology are discussed and provide the motivation for developing theoretical methods.