4 papers
The peak heat flux conjecture for the first Dirichlet eigenmode of convex planar domains
Zijian Wang, Jeremy G. Hoskins, Manas Rachh +1
In this paper, we study the scale-invariant quantity \[\mathcal{G}(Ω)=\frac{\|\partial_n u_1\|_{L^\infty(\partialΩ)}}{λ_1},\]where is the first -normalized Dirichlet…
Superfast direct inversion of the nonuniform discrete Fourier transform via hierarchically semi-separable least squares
Heather Wilber, Ethan N. Epperly, Alex H. Barnett
A direct solver is introduced for solving overdetermined linear systems involving nonuniform discrete Fourier transform matrices. Such matrices can be transformed into a Cauchy-lik…
Self-reorganization and Information Transfer in Massive Schools of Fish
Haotian Hang, Chenchen Huang, Alex Barnett +1
The remarkable cohesion and coordination observed in moving animal groups and their collective responsiveness to threats are thought to be mediated by scale-free correlations, wher…
A fully adaptive, high-order, fast Poisson solver for complex two-dimensional geometries
Daniel Fortunato, David B. Stein, Alex H. Barnett
We present a new framework for the fast solution of inhomogeneous elliptic boundary value problems in domains with smooth boundaries. High-order solvers based on adaptive box codes…