In Preparation
[1]
A mechanism for computer-assisted proofs of diffusion, with Maciej Capinski and J.D Mireles-James
Graduate Teaching Assistant
Department of Mathematical Sciences
Dynamical Systems, invariant manifolds, Bifurcation Theory, Perturbation Theory, ODE, PDE, rigorous error bounds, computer-assisted proofs, Parameterization Method, Computational Topology, Topological Data Analysis, numerical methods, optimization, mathematical modeling, Mathematical Biology, Computational Neuroscience, cognitive modeling, Machine Learning.
[4] Aggregated impulses: Towards explanatory models for self-similar alpha stable traffic, with Chad Bollmann and Joshua Clymer (Submitted)
[3] Towards an explanatory model for network traffic, with Chad Bollmann and Joshua Clymer (accepted to 2019 IEEE 40th Sarnoff Symposium)
[2] Finite element approximation of invariant manifolds by the parameterization method, with J.D Mireles-James and Necibe Tuncer (Submitted).
[1] High-order parameterization of stable/unstable manifolds for long periodic orbits of maps, with J.D Mireles-James (SIAM Journal on Applied Dynamical Systems, 2017, Vol. 16, No. 3: pp. 1748-1795).
Naval Research Enterprise Internship Program (NREIP) with the Office of Naval Research (ONR) at the Naval Postgraduate School working on network measurement and cyber attack detection using alpha stable distributions, network traffic modeling. Summer of 2019.
Mentor: CDR Chad Bollmann. Here is a link to the poster.
In Preparation
[1]
A mechanism for computer-assisted proofs of diffusion, with Maciej Capinski and J.D Mireles-James
Introductory Statistics (STA 2023), Spring 2019
Graduate Teaching Assistant
Department of Mathematical Sciences
Florida Atlantic University
Science Building, Room 262
777 Glades Rd.,
Boca Raton, FL 33431, USA
Office: SE
Email: jorgegonzale2013[at]fau.edu
Office Hours: (Fall 2019)
Mondays, 12-3pm.