On the heat transfer and flow of a non-homogenous fluid. - Joseph A. Fiordilino; Mehrdad Massoudi; Ashwin Vaidya (Appl. Math. Comput., 2014)

A Second Order Ensemble Timestepping Algorithm for Natural Convection. - Joseph A. Fiordilino (SIAM J. Numer. Anal., 2018)

Ensemble Time-Stepping Algorithm for the Convection-Diffusion Equation with Random Diffusivity. - Ning Li; Joseph A. Fiordilino; Xinlong Feng (J. Sci. Comput., 2019)

Numerical Analysis of a BDF2 Modular Grad-Div Stabilization Method for the Navier-Stokes Equations. - Yao Rong; Joseph A. Fiordilino (J. Sci. Comput., 2020)

A discrete Hopf interpolant and stability of the finite element method for natural convection. - Joseph A. Fiordilino; Mohammad Ali Pakzad (Math. Comput., 2020)

Unconditionally energy stable and first-order accurate numerical schemes for the heat equation with uncertain temperature-dependent conductivity. - Joseph A. Fiordilino; M. Winger (CoRR, 2021)

A Modular Voigt Regularization of the Crank-Nicolson Finite Element Method for the Navier-Stokes Equations. - Y. Rong; Joseph A. Fiordilino; Feng Shi; Yong Cao (J. Sci. Comput., 2022)

A note on the long-time stability of pressure solutions to the 2D Navier Stokes equations. - Sean Breckling; Joseph A. Fiordilino; Jorge Reyes; Sidney Shields (Appl. Math. Comput., 2024)