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Author

Giacomo Borghi

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Preprint Sep 2026

A fast spectral particle method for the Landau equation

We propose a fast deterministic particle method for the spatially homogeneous Landau equation. The method combines a particle representation of the solution with a Fourier approximation of the nonlinear collision flux. Nonuniform fast Fourier transforms are used to reconstruct the density from the particles and to eval...

Giacomo Borghi, L. Pareschi · 0 citations
Preprint Jul 2026

Long-time Stability and Convergence of Particle Swarm Optimization

This paper studies a regularized PSO model without memory, with non-degenerate noise by adding a noise floor to the original model, providing new quantitative estimates for the time-discrete algorithm.

Giacomo Borghi, Hui Huang, Dohyeon Kim · 0 citations

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