activity
20182026
most citedEntropy stable spectral collocation schemes for the 3-D Navier-Stokes equations on dynamic unstructured grids

15 citations · 17 across the 5 of their papers we have counts for

collaborators

8 papers

cs.AI2026

RoboJEPA: Scaling Robotic Latent World Models

Artem Zholus, Nicolas Beltran-Velez, Jianhao Yuan +9

Latent world models have shown a remarkable ability to predict future states and to plan in the real world. In practice, however, we lack a principled way to estimate how their cap…

math.NA2026

Implicit BDF2 dual time-stepping positivity-preserving entropy-stable schemes for unsteady compressible viscous flows

Mohammed Sayyari, Nail K. Yamaleev

This paper presents a rigorous extension of the explicit, high-order, positivity-preserving, and entropy-stable spectral collocation schemes developed in Upperman 2023 and Yamaleev…

math.NA2025

A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations

Subhash Paudel, Nail K. Yamaleev

As has been shown in our previous work, the parallel-in-time direct inverse (ParaDIn) method introduced by Yamaleev and Paudel in (arXiv: 2406.00878v1, 2024) imposes some constrain…

math.NA2025

Implicit dual time-stepping positivity-preserving entropy-stable schemes for the compressible Navier-Stokes equations

Mohammed Sayyari, Nail K. Yamaleev

We generalize the explicit high-order positivity-preserving entropy stable spectral collocation schemes developed in Upperman 2023 and Yamaleev 2023 for the three-dimensional (3D)…

math.NA2024

A New Parallel-in-time Direct Inverse Method for Nonlinear Differential Equations

Nail K. Yamaleev, Subhash Paudel

We present a new approach to parallelization of the first-order backward difference discretization (BDF1) of the time derivative in partial differential equations, such as the nonl…

math.NA2021

High-order Positivity-preserving L2-stable Spectral Collocation Schemes for the 3-D compressible Navier-Stokes equations

Nail K. Yamaleev, Johnathon Upperman

This paper extends a new class of positivity-preserving, entropy stable spectral collocation schemes developed for the one-dimensional compressible Navier-Stokes equations in [1,2]…

math.NA2021★ 2 cited

First-order positivity-preserving entropy stable spectral collocation scheme for the 3-D compressible Navier-Stokes equations

Johnathon Upperman, Nail K. Yamaleev

In this paper, we extend the positivity-preserving, entropy stable first-order finite volume-type scheme developed for the one-dimensional compressible Navier-Stokes equations in […

math.NA2018★ 15 cited

Entropy stable spectral collocation schemes for the 3-D Navier-Stokes equations on dynamic unstructured grids

Nail K. Yamaleev, David C. Del Rey Fernandez, Jialin Lou +1

New entropy stable spectral collocations schemes of arbitrary order of accuracy are developed for the unsteady 3-D Euler and Navier-Stokes equations on dynamic unstructured grids.…