A weight statistic and partial order on products of m-cycles. - Johnathon Upperman; C. Ryan Vinroot (Discret. Math., 2014)

Entropy stable artificial dissipation based on Brenner regularization of the Navier-Stokes equations. - Johnathon Upperman; Nail K. Yamaleev (J. Comput. Phys., 2019)

First-order positivity-preserving entropy stable spectral collocation scheme for the 3-D compressible Navier-Stokes equations. - Johnathon Upperman; Nail K. Yamaleev (CoRR, 2021)

High-order Positivity-preserving L2-stable Spectral Collocation Schemes for the 3-D compressible Navier-Stokes equations. - Nail K. Yamaleev; Johnathon Upperman (CoRR, 2021)

Positivity-preserving entropy stable schemes for the 1-D compressible Navier-Stokes equations: First-order approximation. - Johnathon Upperman; Nail K. Yamaleev (J. Comput. Phys., 2022)

Positivity-preserving entropy stable schemes for the 1-D compressible Navier-Stokes equations: High-order flux limiting. - Nail K. Yamaleev; Johnathon Upperman (J. Comput. Phys., 2022)

First-Order Positivity-Preserving Entropy Stable Scheme for the 3-D Compressible Navier-Stokes Equations. - Johnathon Upperman; Nail K. Yamaleev (J. Sci. Comput., 2023)

High-Order Positivity-Preserving Entropy Stable Schemes for the 3-D Compressible Navier-Stokes Equations. - Nail K. Yamaleev; Johnathon Upperman (J. Sci. Comput., 2023)