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1,113 papers
A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations
Denise Aregba-Driollet, Thomas Bellotti, Roberto Natalini +1
We introduce a second-order accurate vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes system, inspired by a discrete-velocity kinetic approximation proposed…
Analysis and structure-preserving discretization of the Heat-GLM system
Firas Dhaouadi, Laura Río-Martín, Michael Dumbser
In this paper, we study a prototype hyperbolic system arising from the coupling of Generalized-Lagrangian-Multiplier (GLM) curl-cleaning with linear acoustics. We first show that,…
Convergence of a two-relaxation-times kinetic approximation towards the solution of a scalar conservation law
Denise Aregba-Driollet, Thomas Bellotti
We introduce a two-relaxation-times (TRT) kinetic approximation for scalar non-linear conservation laws in one space dimension, addressing the convergence of relaxation approximati…
Markovian dynamics of single-rebit open quantum systems with applications to colour perception
Michel Berthier, Gabriel Niebel, Edoardo Provenzi
This paper investigates the Markovian dynamics of open two-state quantum systems defined over the real numbers (rebits). Two main objectives are pursued. First, we present a compre…
Slow-fast system in Rosales-Majda combustion model with fractional order kinetics
Claude-Michel Brauner, Jinlong Jing, Robert Roussarie
We consider traveling wave solutions of a one-dimensional model for detonation waves derived by Rosales and Majda, when the reaction order belongs to . The chemical kine…
HOT-POT: Optimal Transport for Sparse Stereo Matching
Antonin Clerc, Michael Quellmalz, Moritz Piening +3
Stereo vision between images faces a range of challenges, including occlusions, motion, and camera distortions, across applications in autonomous driving, robotics, and face analys…