2 papers
math.NA2026
On the approximation of the von Neumann equation in the semiclassical limit. Part II : numerical analysis
Francis Filbet, François Golse
This paper is devoted to the numerical analysis of the Hermite spectral method proposed in [14], which provides, in the semiclassical limit, an asymptotic preserving approximation…
math.AP2024
On the approximation of the von Neumann equation in the semi-classical limit. Part I : numerical algorithm
Francis Filbet, François Golse
We propose a new approach to discretize the von Neumann equation, which is efficient in the semi-classical limit. This method is first based on the so called Weyl's variables to ad…