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A Localized Reduced-Order Modeling Approach for PDEs with Bifurcating Solutions Reduced-order modeling (ROM) commonly refers to the construction, based on a few solutions (referred to as snapshots) of an expensive discretized partial differential

Improving the accuracy of the trapezoidal ruleThe trapezoidal rule uses function values at equispaced nodes. It is very accurate for integrals over periodic intervals, but is usually quite inaccurate in non-periodic cases. Commonly used improvements

Dan Massey, Interdisciplinary Telecom Program, º£½ÇÉçÇøCybersecurity Rule 6: Use Cryptography CorrectlyThis talk explores some of the key mathematical concepts used in cybersecurity.  Cryptography is one obvious example

Peter F. Craigmile, Department of Statistics, The Ohio State UniversityEnhancing statistical inference for stochastic processes using modern statistical methods(This is joint research with Radu Herbei, Matthew Pratola, Huong Nguyen, and Grant

Sparse Grid Discontinuous Galerkin Methods for High-Dimensional Transport EquationsIn this talk, we present sparse grid discontinuous Galerkin (DG) schemes for solving high-dimensional PDEs. We will discuss the construction of the scheme based on

3D radar wavefield imaging of comet interiorsThe Rosetta mission to comet 67P/C-G revolutionized comet science, but left major questions on the table. Are cometary nuclei primordial or are they collisionally-evolved as predicted by modern theories

How to Gamble or Invest If You Must: A Large Deviations Approach  The Kelly Criterion (a.k.a. expected log utility maximization) is a well-known criterion function used to select optimal repeated gambles or long-term portfolio investments

Birth, Death, and Barcodes: Discretization of Continuous Attributes in Bayesian Network Structure RecoveryBayesian networks are graphical models that can be used to represent complex relationships between a large number of random variables. A

Mathematical modeling of cell divisionCells are the basic unit of life. All life on earth depends on cells' ability to duplicate themselves. In order to divide successfully, cells must solve fascinating mathematics and physics problems, which this

Critical matterI will discuss examples of novel soft condensed matter, such as liquid crystals, membranes, and rubber, with particular focus on ubiquitous thermal fluctuations that lead to phenomena qualitatively beyond Euler-Lagrange