Applied Analysis Seminar
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Posted September 4, 2019

3:30 pm - 4:30 pm Lockett 233
Phuc Nguyen, Department of Mathematics, Louisiana State University

TBA

Applied Analysis Seminar
Questions or comments?

Posted October 2, 2019

3:30 pm - 4:30 pm Lockett 233
Phuc Nguyen, Department of Mathematics, Louisiana State University

Weighted and pointwise bounds in measure datum problems with applications

Muckenhoupt-Wheeden type bounds and pointwise bounds by Wolff's potentials are obtained for gradients of solutions to a class of quasilinear elliptic equations with measure data. Such results are obtained globally over sufficiently flat domains in the sense of Reifenberg. The principal operator here is modeled after the $p$-Laplacian, where for the first time a singular case is considered. As an application, sharp existence and removable singularity results are obtained for a class of quasilinear Riccati type equations having a gradient source term with linear or super-linear power growth. This talk is based on joint work with Quoc-Hung Nguyen.

Combinatorics Seminar
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Posted October 11, 2019

3:30 pm Lockett Hall 237
Tara Fife, Louisiana State University

Laminar Matroids and their Generalizations

Abstract: I''ll begin by introducing matroids, nested matroids, and laminar matroids. One characterization of laminar matroids is that for all circuits $C_1cap C_2not=emptyset$, either $C_1$ is in the closure of $C_2$ or $C_2$ is in the closure of $C_1$. We use this characterization to define two infinite families of generalized laminar matroids and give structural results of these classes. This is joint work with James Oxley.

Computational Mathematics Seminar

Posted October 8, 2019

3:30 pm - 4:30 pm 1034 Digital Media Center
Hongchao Zhang, Louisiana State University

A Nonmonotone Smoothing Newton Algorithm for Weighted Complementarity Problem

Abstract: The weighted complementarity problem, often denoted by WCP, significantly extends the general complementarity problem and can be used for modeling a larger class of problems from science and engineering. In this talk, by introducing a one-parametric class of smoothing functions, we will introduce a smoothing Newton algorithm with nonmonotone line search to solve WCP. We will discuss the global convergence as well as local superlinear or quadratic convergence of this algorithm under assumptions weaker than assuming the nonsingularity of the Jacobian. Some promising numerical results will be also reported.

Posted October 10, 2019

5:30 pm James E. Keisler Lounge (room 321 Lockett)Actuarial club meeting

Abigail Brown, LSU contact for actuary, will come as a guest speaker. She will be discussing interviews, resumes, and other related topics. Pizza will be served.

Informal Geometry and Topology Seminar
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Posted September 11, 2019

1:30 pm - 3:00 pm Lockett 233
Amit Kumar, Louisiana State University

TBD