activity
20092026
most citedDedalus: A Flexible Framework for Numerical Simulations with Spectral Methods

500 citations · 1.7k across the 46 of their papers we have counts for

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Showing 2023Show all

6 papers · 1 filter

math.NA2023

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…

astro-ph.SR2023★ 31 cited

The photometric variability of massive stars due to gravity waves excited by core convection

Evan H. Anders, Daniel Lecoanet, Matteo Cantiello +8

Massive stars die in catastrophic explosions, which seed the interstellar medium with heavy elements and produce neutron stars and black holes. Predictions of the explosion's chara…

astro-ph.SR2023★ 2 cited

The Puzzling Structure of Solar Convection: Window into the Dynamo

Nicholas A. Featherstone, Kyle C. Augustson, Jonathan M. Aurnou +25

The operation of the solar dynamo, with all of its remarkable spatio-temporal ordering, remains an outstanding problem of modern solar physics. A number of mechanisms that might pl…

math.OC2023

Convex optimization over a probability simplex

James Chok, Geoffrey M. Vasil

We propose a new iteration scheme, the Cauchy-Simplex, to optimize convex problems over the probability simplex . Spe…

math-ph2023★ 3 cited

Orthogonal signed-distance coordinates and vector calculus near evolving curves and surfaces

Eric W. Hester, Geoffrey M. Vasil

We provide an elementary derivation of an orthogonal coordinate system for boundary layers around evolving smooth surfaces and curves based on the signed-distance function. We go b…

math-ph2023

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…