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 2023 for the 3D compressible Navier-Stokes equations to a …
Conservation laws and dissipated quantities are fundamental in analysis. Here we discuss them in partial differential equations and their discretizations. These quantities are integral expressions or, in the discrete case, sums. Often, checking their …