Neumann Domains of Equilibrium States

Graham Cox from the Department of Mathematics and Statistics, Memorial University, St. John's, Canada describes the interplay between dynamical systems and geometry that arises in the study of Neumann boundary value problems.

New Bridges Between Deep Learning and Partial Differential Equations

Lars Ruthotto describes the interplay and exchange of knowledge between deep neural networks and partial differential equations.

SIAM Conferences, Reinvented

Richard Moore describes the ways in which SIAM conferences are adapting in the COVID-19 world.

New Algorithm Mimics Electrosensing in Fish

Jillian Kunze describes recent work by Lorenzo Baldassari and Andrea Scapin on a model of how weakly electric fish navigate through their environments.

SDG Workshop - Jervis Bay

Sidney Holden, a Phd Student at the University of Sydney reports on the seventh workshop of the Sydney Dynamics Group on Dynamical Systems - Theory and Application #7 held in person on Nov. 23-27, 2020 at the Bay and Bush Cottages in Woolamia New South Wales, Australia.

Frontiers of Invariant Manifold Approximation in Multiple-Timescale Dynamics

Ian Lizarraga from the School of Mathematics and Statistics, The University of Sydney, (ian.lizarraga (at) sydney.edu.au) describes how to use the computational singular perturbation (CSP) method and the parametrization method to compute approximations to invariant manifolds. He also shows how the parametrization method can be adapted to problems with more than two time scales.

A Mathematical Approach to Defensive Positioning in Baseball

Elizabeth Bouzarth, Benjamin Grannan, John Harris, Andrew Hartley, Kevin Hutson, and Ella Morton describe a model using batter-specific refinements to optimize the locations of the fielders in baseball.

The Cauchy-Schwarz Inequality via Springs

Mark Levi describes a physical model of the Cauchy-Schwartz inequality.

Questions of Responsibility: Modelling in the Age of COVID-19

Maurice Chiodo and Dennis Müller discuss ethical questions that arise in math research with a special focus on COVID-19.