4 papers
Error Estimates for Hyperbolic Scaling Limits of Linear Kinetic Models on Networks
Axel Klar, Yizhou Zhou
This paper studies linear discrete kinetic models on networks and their asymptotic behavior in the small Knudsen number limit. For coupling conditions at an n-edge junction under a…
A spectral approach to interface layers on networks for the linearized BGK equation and its acoustic limit
Raul Borsche, Tobias Damm, Axel Klar +1
We consider in this paper a velocity discretized version of the full linear kinetic BGK model and the corresponding limit for small Knudsen number, the linearised Euler or acoustic…
Neuron-based Multifractal Analysis of Neuron Interaction Dynamics in Large Models
Xiongye Xiao, Heng Ping, Chenyu Zhou +6
In recent years, there has been increasing attention on the capabilities of large models, particularly in handling complex tasks that small-scale models are unable to perform. Nota…
Boundary conditions for hyperbolic relaxation systems with characteristic boundaries
Yizhou Zhou, Wen-An Yong
This paper is concerned with initial-boundary-value problems of general multi-dimensional hyperbolic relaxation systems with characteristic boundaries. For the characteristic case,…