6 citations · 10 across the 2 of their papers we have counts for
3 papers
math.NA2022★ 6 cited
Asymptotic consistency of the WSINDy algorithm in the limit of continuum data
Daniel A. Messenger, David M. Bortz
In this work we study the asymptotic consistency of the weak-form sparse identification of nonlinear dynamics algorithm (WSINDy) in the identification of differential equations fro…
math.OC2022★ 4 cited
Online Weak-form Sparse Identification of Partial Differential Equations
Daniel A. Messenger, Emiliano Dall'Anese, David M. Bortz
This paper presents an online algorithm for identification of partial differential equations (PDEs) based on the weak-form sparse identification of nonlinear dynamics algorithm (WS…
math.AP2019
Equilibria of an aggregation model with linear diffusion in domains with boundaries
Daniel A. Messenger, Razvan C. Fetecau
We investigate the effect of linear diffusion and interactions with the domain boundary on swarm equilibria by analyzing critical points of the associated energy functional. Throug…