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math.NA2025
Noncommutative Laplacian and numerical approximation of Laplace-Beltrami spectrum of compact Riemann surfaces
Damien Tageddine, Jean-Christophe Nave
We derive a numerical approximation of the Laplace-Beltrami operator on compact surfaces embedded in with an axial symmetry. To do so we use a noncommutative Laplace…
math.NA2024
Structure preserving discretization: A Berezin-Toeplitz Quantization viewpoint
Damien Tageddine, Jean-Christophe Nave
In this paper, we introduce a comprehensive axiomatization of structure-preserving discretization through the framework of commutative diagrams. By establishing a formal language t…
math.NA2023
Statistical Fluctuation of Infinitesimal Spaces
Damien Tageddine, Jean-Christophe Nave
This paper is a follow-up on the \emph{noncommutative differential geometry on infinitesimal spaces} [15]. In the present work, we extend the algebraic convergence from [15] to the…