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Numerical Analysis and PDE

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All talks will be on Thursdays at 11:00am in Ewing Hall, Room 336.​

Want to suggest a speaker? Send email to Fran​cisco-Javier Sayas 

Information about the Courtyard Newark - University of Delaware Hotel



Wei Guo, Texas Tech University Wei Guo, Texas Tech University Ewing 336Title: A Sparse Grid Discontinuous Galerkin Method for High-Dimensional Transport Equations with Application to Kinetic Simulations <br></br> Abstract: In this talk, we present a sparse grid discontinuous Galerkin (DG) scheme for transport equations with application to kinetic simulations. The method uses the weak formulations of traditional Runge-Kutta DG schemes for hyperbolic problems and is proven to be L^2 stable and convergent. A major advantage of the scheme lies in its low computational and storage cost due to the employed sparse finite element approximation space. This attractive feature is explored in simulating linear and nonlinear transport problems including Vlasov-Maxwell/Poisson system. Good performance in accuracy and conservation is verified by numerical tests in up to four dimensions. This is joint work with Dr. Yingda Cheng and Dr. Zhanjing Tao from Michigan State University. 11/2/2017 3:00:00 PM11/2/2017 4:00:00 PMFalse
Lise-Marie Imbert Gerard, New York University and University of Maryland College Park Lise-Marie Imbert Gerard, New York University and University of Maryland College Park Ewing 336Title: Pseudo-spectral methods on surfaces of genus one Abstract: We will discuss a numerical method for elliptic partial differential equations on manifolds. In this framework the geometry of the manifold introduces variable coefficients. Fast, high order, pseudo-spectral algorithms were developed for inverting the Laplace-Beltrami operator and computing the Hodge decomposition of a tangential vector field on closed surfaces of genus one in a three dimensional space. Robust, well-conditioned solvers for the Maxwell equations will rely on these algorithms.11/9/2017 4:00:00 PM11/9/2017 5:00:00 PMFalse
Charles Epstein, University of Pennsylvania Charles Epstein, University of Pennsylvania Ewing 336TBA11/16/2017 4:30:00 PM11/16/2017 5:30:00 PMFalse
Juan Pablo Borthagaray, University of Maryland College ParkJuan Pablo Borthagaray, University of Maryland College ParkEWG 336Title: TBA Abstract: TBA11/30/2017 4:00:00 PM11/30/2017 5:00:00 PMFalse

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