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J. Thomas Beale - Department of Mathematics, Duke University
Sep 10, 2018 - 1:50pm to 2:55pm
Department of Applied Mathematics - Colloquia - Rettaliata Engineering Center, Room 104
Finite difference methods are awkward for solving boundary value problems, such as the Dirichlet problem, with general boundaries, but they are well-suited for interface problems, which have prescribed jumps across a general interface or boundary. The two problems can be connected through potential... read more
Renming Song - Department of Mathematics, University of Illinois at Urbana-Champaign
Sep 6, 2018 - 2:00pm to 3:00pm
Department of Applied Mathematics - Seminar - Rettaliata Engineering Center, Room 025
Consider the following time-dependent stable-like operator with drift \[\mathscr{L}_{t}\varphi(x) = \int_{\mathbb{R}^{d}}\left[\varphi(x+z)-\varphi(x)-z^{(\alpha)}\cdot\nabla\varphi(x)\right]\sigma(t,x,z)\nu_{\alpha}(dz)+b(t,x)\cdot\nabla\varphi(x),\] where \(d\geq 1\), \(\nu_{\alpha}\) is an \(\... read more
Lujia Wang - Department of Mathematics, University of California at San Diego
Aug 29, 2018 - 12:45pm to 1:45pm
Department of Applied Mathematics - Seminar - TBA
A sunflower is a collection of distinct sets such that the intersection of any two of them is the same as the common intersection \(C\) of all of them, and \(|C|\) is smaller than each of the sets. There has been a lot of recent progress on determining the maximum size of a sunflower-free family of... read more