7 papers
Length-scale selection in adaptive transport networks
Sidney Holden, Mia C. Morrell, Geoffrey Vasil +1
Adaptive transport networks in biological and physical systems exhibit hierarchical organization, characteristic channel spacing, and robust scaling relations. Existing adaptive ne…
Divide, Interact, Sample: The Two-System Paradigm
James Chok, Myung Won Lee, Daniel Paulin +1
Mean-field, ensemble-chain, and adaptive samplers have historically been viewed as distinct approaches to Monte Carlo sampling. In this paper, we present a unifying {two-system} fr…
The Unsteady Taylor--Vortex Dynamo is Fast
Liam O'Connor, Daniel Lecoanet, Geoffrey M. Vasil +6
Astrophysical and geophysical fluids commonly generate organized magnetic fields, despite having enormous magnetic Reynolds numbers and abundant small-scale turbulence. F…
A continuum limit for dense spatial networks
Sidney Holden, Geoffrey Vasil
Many physical systems -- such as optical waveguide lattices and dense neuronal or vascular networks -- can be modeled by metric graphs, where slender "wires" (edges) support wave o…
Rational function approximation with normalized positive denominators
James Chok, Geoffrey M. Vasil
Recent years have witnessed the introduction and development of extremely fast rational function algorithms. Many ideas in this realm arose from polynomial-based linear-algebraic a…
Rapidly Rotating Wall-Mode Convection
Geoffrey M. Vasil, Keaton J. Burns, Daniel Lecoanet +3
In the rapidly rotating limit, we derive a balanced set of reduced equations governing the strongly nonlinear development of the convective wall-mode instability in the interior of…