no code implementations • 10 Mar 2021 • Lukas Einkemmer, Alexander Ostermann, Mirko Residori
Recently a splitting approach has been presented for the simulation of sonic-boom propagation.
Numerical Analysis Numerical Analysis
no code implementations • 4 Feb 2021 • Pranab Jyoti Deka, Lukas Einkemmer
Traditional step size controllers make the tacit assumption that the cost of a time step is independent of the step size.
Numerical Analysis Numerical Analysis Mathematical Physics Mathematical Physics Optimization and Control
no code implementations • 29 Jan 2021 • Lukas Einkemmer, Ilon Joseph
The primary challenge in solving kinetic equations, such as the Vlasov equation, is the high-dimensional phase space.
Numerical Analysis Numerical Analysis Computational Physics
no code implementations • 18 Jan 2021 • Lukas Einkemmer, Jingwei Hu, Lexing Ying
In this paper, we propose an efficient dynamical low-rank integrator that can capture the fluid limit -- the Navier-Stokes equations -- of the Boltzmann-BGK model even in the compressible regime.
Numerical Analysis Numerical Analysis Computational Physics