Seminars

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...

Zhihui Zhu, Department of Electrical and Computer Engineering, University of Denver Provable Nonsmooth Nonconvex Approaches for Low-Dimensional Models As technological advances in fields such as the Internet, medicine, finance, and remote sensing have produced larger and more complex data sets, we are faced with the challenge of efficiently and effectively...

Dan Larremore, Department of Computer Science, University of Colorado Boulder Complex Networks, Math, and Malaria: From Evolution to Epidemiology Progress in the global battle for malaria elimination has flatlined since 2015, with the single-cell P. falciparum parasite killing one child for every minute of the year. Some of this plateau...

Dan Messenger, Department of Applied Mathematics, University of Colorado Boulder Aggregation-Diffusion Phenomena in Domains with Boundaries This talk relates to a class of mathematical models for the collective behaviour of autonomous agents, or particles, in general spatial domains, where particles exhibit pair-wise interactions and may be subject to environmental forces...