Optimal Two-Dimensional Finite Difference Grids Providing Superconvergence. - Nail K. Yamaleev (SIAM J. Sci. Comput., 2002)

Third-order Energy Stable WENO scheme. - Nail K. Yamaleev; Mark H. Carpenter (J. Comput. Phys., 2009)

A systematic methodology for constructing high-order energy stable WENO schemes. - Nail K. Yamaleev; Mark H. Carpenter (J. Comput. Phys., 2009)

Local-in-time adjoint-based method for design optimization of unsteady flows. - Nail K. Yamaleev; Boris Diskin; Eric J. Nielsen (J. Comput. Phys., 2010)

Boundary closures for fourth-order energy stable weighted essentially non-oscillatory finite-difference schemes. - Travis C. Fisher; Mark H. Carpenter; Nail K. Yamaleev; Steven H. Frankel (J. Comput. Phys., 2011)

Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: Theory and boundary conditions. - Travis C. Fisher; Mark H. Carpenter; Jan Nordström; Nail K. Yamaleev; Charles Swanson (J. Comput. Phys., 2013)

Nonlinear model reduction for unsteady discontinuous flows. - Nail K. Yamaleev; Kedar A. Pathak (J. Comput. Phys., 2013)

A family of fourth-order entropy stable nonoscillatory spectral collocation schemes for the 1-D Navier-Stokes equations. - Nail K. Yamaleev; Mark H. Carpenter (J. Comput. Phys., 2017)

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

Entropy stable spectral collocation schemes for the 3-D Navier-Stokes equations on dynamic unstructured grids. - Nail K. Yamaleev; David C. Del Rey Fernández; Jialin Lou; Mark H. Carpenter (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)

A New Parallel-in-time Direct Inverse Method for Nonlinear Differential Equations. - Nail K. Yamaleev; Subhash Paudel (CoRR, 2024)

Implicit dual time-stepping positivity-preserving entropy-stable schemes for the compressible Navier-Stokes equations. - Mohammed Sayyari; Nail K. Yamaleev (CoRR, 2025)

A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations. - Subhash Paudel; Nail K. Yamaleev (CoRR, 2025)