Manuscripts

In Progress

• J. A. Fiordilino, On the Predictability of Average Temperatures for Natural Convection, in preparation.
• J. A. Fiordilino, Ensemble Timestepping Algorithms for Turbulent Natural Convection, in preparation.

Submitted

• J. A. Fiordilino and M. McLaughlin, An Artificial Compressibility Ensemble Timestepping Algorithm for Flow Problems, submitted. [preprint]
• J. A. Fiordilino and A. Pakzad, A Discrete Hopf Interpolant and Stability of the Fully Discrete Finite Element Method for Natural Convection Problems, submitted. [preprint]

Technical Reports

• J. A. Fiordilino, On pressure estimates for the Navier-Stokes equations, arXiv preprint arXiv:1803.04366 (2018). [preprint]

Refereed

• J. A. Fiordilino, Ensemble time-stepping algorithms for the heat equation with uncertain conductivity, Numer. Methods Partial Differential Eq., 00 (2018), pp. 1-16. [preprint, link]
• J. A. Fiordilino, W. J. Layton, and Y. Rong, An Efficient and Modular Grad-Div Stabilization, Comput. Methods Appl. Mech. Engrg., 335 (2018), pp. 327–346. [preprint, link]
• J. A. Fiordilino, A Second Order Ensemble Timestepping Algorithm for Natural Convection, SIAM J. Numer. Anal., 56 (2018), pp. 816-837. [preprint, link]
• J. A. Fiordilino and S. Khankan, Ensemble Timestepping Algorithms for Natural Convection, Int. J. Numer. Anal. Model, 15 (2018), pp. 524-551. [preprint]
• J. A. Fiordilino, M. Massoudi, and A. Vaidya, On the heat transfer and flow of a non-homogenous fluid, Applied Mathematics and Computation, 243 (2014), pp. 184-196. [link]

Presentations

• Finite Element Circus, Knoxville, Tennessee, March 16-17, 2018 (Talk).
• Virginia Tech Graduate Student Conference (John Fest), Blacksburg, April 1, 2017 (Talk).
• TMS 2017 146th Annual Meeting & Exhibition, The Minerals, Metals, & Materials Society, San Diego, February 26 - March 2, 2017 (Talk).
• Special Session on Above and Beyond Fluid Flow studies: In celebration of the 60th birthday of Prof. William Layton, American Mathematical Society, Denver, October 8-9, 2016 (Talk).
• SIAM Student Conference (John Fest), Society for Industrial and Applied Mathematics, Clemson, February 5-6, 2016 (Talk).
• Directed Energy Systems Symposium, Directed Energy Professional Society, Norfolk, September 14-18, 2015 (Talk).
• Division of Fluid Dynamics, American Physical Society, Pittsburgh, November 24-26, 2013 (Poster).
• MSU Annual Research Symposium, Montclair, April 20, 2013 (Talk).
• MSU Annual Research Symposium, Montclair, April 22, 2012 (Poster).

Patents

• Patents pending.