1 citations · 1 across the 2 of their papers we have counts for
3 papers · 1 filter
Diagonally implicit Runge-Kutta schemes: Discrete energy-balance laws and compactness properties
Abner J. Salgado, Ignacio Tomas
We study diagonally implicit Runge-Kutta (DIRK) schemes when applied to abstract evolution problems that fit into the Gelfand-triple framework. We introduce novel stability notions…
Thermodynamically consistent physics-informed neural networks for hyperbolic systems
Ravi G. Patel, Indu Manickam, Nathaniel A. Trask +4
Physics-informed neural network architectures have emerged as a powerful tool for developing flexible PDE solvers which easily assimilate data, but face challenges related to the P…
Second-order invariant domain preserving approximation of the compressible Navier--Stokes equations
Jean-Luc Guermond, Matthias Maier, Bojan Popov +1
We present a fully discrete approximation technique for the compressible Navier-Stokes equations that is second-order accurate in time and space, semi-implicit, and guaranteed to b…