Seminars

Anindya De, Department of Computer and Information Science, University of Pennsylvania Testing noisy linear functions for sparsity Consider the following basic problem in sparse linear regression -- an algorithm gets labeled samples of the form (x, + \eps) where w is an unknown n-dimensional vector, x is drawn from a...

Vera Hur, Department of Mathematics, University of Illinois Stokes waves in a constant vorticity flow: theory and numerics Stokes in the 1800s made many contributions about periodic waves at the surface of water, under the influence of gravity, propagating in permanent form a long distance at a practically constant velocity...

Owen Miller, Department of Applied Physics, Yale University Upper bounds to electromagnetic response via convexity, causality, and duality Nanophotonics, the study of light interacting with materials patterned at the scale of the wavelength, is developing at a rapid pace, with ever more materials, form factors, and structural degrees of freedom...

Laura Miller, Department of Biology, University of North Carolina - Chapel Hill Flow through the hairy appendages of small animals: The leaky rake to solid plate transition. Numerous small organisms that swim, fly, smell, or feed in flows at the mesoscale, where inertial and viscous forces are balanced, use branched,...

Bengt Fornberg, Department of Applied Mathematics, University of Colorado Boulder Euler-Maclaurin without analytic derivatives We consider here the Euler-Maclaurin (EM) formulas in the context of approximating infinite sums. If the function to be summed can be integrated analytically, these formulas provide highly accurate asymptotic expansions for the difference between the...

Thibault Congy; Department of Mathematics, Physics, and Electrical Engineering; University of Northumbria; Newcastle, UK Bidirectional soliton gas The soliton structure plays a fundamental role in many physical systems due to its fundamental feature: its shape remains unchanged after the collision with another soliton in the case of integrable dynamics. Such...

Katie Oliveras, Department of Mathematics, Seattle University Measuring Water Waves: Using Pressure to Reconstruct Wave Profiles Euler's equations describe water-waves on the surface of an ideal fluid. In this talk, I will discuss an inverse problem related to measuring water-waves using pressure sensors placed inside the fluid. Using a non-local...

Stephen Becker, Department of Applied Mathematics, University of Colorado Boulder Stochastic Subspace Descent: Stochastic gradient-free optimization, with applications to PDE-constrained optimization We describe and analyze a family of algorithms that generalize block-coordinate descent, where we assume one can take directional derivatives (for low-precision optimization, this can be approximated with finite...

Jeremy Hoskins, Department of Mathematics, Yale University Elliptic PDEs on regions with corners Many of the boundary value problems frequently encountered in the simulation of physical problems (electrostatics, wave propagation, fluid dynamics in small devices, etc.) can be solved by reformulating them as boundary integral equations. This approach reduces the...

Nalini Joshi, Department of Mathematics, Sydney University When Applied Mathematics Collided with Algebra Imagine walking from one tile to another on a lattice defined by reflections associated with an affine Coxeter or Weyl group. Examples include triangular or hexagonal lattices on the plane. Recently, it was discovered that translations on...