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Archive : Departmental Colloquia

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TBATBAGORE 116TBA4/9/2020 7:30:00 PM4/9/2020 8:30:00 PMFalse
TBATBAGORE 116TBA3/19/2020 7:30:00 PM3/19/2020 8:30:00 PMFalse
Noga Alon, Princeton University and Tel Aviv UniversityNoga Alon, Princeton University and Tel Aviv UniversityGORE 104Title: List Coloring <br><br> Abstract: The list chromatic number of a graph G is the minimum k so that for every assignment of a list of k colors to any vertex of G there is a vertex coloring assigning to each vertex a color from its list, so that adjacent vertices get distinct colors. This notion was introduced by Vizing and by Erdos, Rubin and Taylor in the late 70s and its study combines combinatorial, probabilistic and algebraic techniques. Its natural extension to hypergraphs is closely related to questions in Euclidean Ramsey Theory. I will discuss several old and new problems and results in the area focusing on a recent work with Briceno, Chandgotia, Magazinov and Spinka motivated by questions in statistical physics regarding vertex colorings of the d-dimensional lattice.11/8/2019 8:30:00 PM11/8/2019 9:30:00 PMFalse
Ridgway Scott from University of ChicagoRidgway Scott from University of ChicagoGORE 104Title: Automated Modeling with FEniCS<br><br> Description: The FEniCS Project develops both fundamental software components and end-user codes to automate numerical solution of partial differential equations (PDEs). FEniCS enables users to translate scientific models quickly into efficient finite element code and also offers powerful capabilities for more experienced programmers. FEniCS and other automated software are catalyzing a change for PDEs similar to the one that Matlab did for linear algebra.<br><br> FEniCS uses the variational formulation of PDEs as a language to define models. We will explain the variational formulations for simple problems and then show how they can be extended to simulate fluid flow. The variational formulation also provides a firm theoretical foundation for understanding PDEs. We argue that combining the theory with practical coding provides a way to teach PDEs, their numerical solution, and associated modeling without requiring extensive mathematical prerequisites. We demonstrate that this approach requires no background in PDEs or finite elements, only multi-variate calculus.<br><br> FEniCS also provides a productive platform for research. We will present examples where it has been used to answer questions that would have required months of programming using traditional techniques. 10/18/2019 7:30:00 PM10/18/2019 8:30:00 PMFalse

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  • Department of Mathematical Sciences
  • University of Delaware
  • 501 Ewing Hall
  • Newark, DE 19716, USA
  • Phone: 302-831-2653