Particle methods for 1D conservation laws

This crate implements the deterministic particle schemes described in the article Entropy solutions of non-local scalar conservation laws with congestion via deterministic particle method, E. Radici, F. Stra (2021), https://arxiv.org/abs/2107.10760.

You can cite the article as

@online{RadiciStra2021,
    title={Entropy solutions of non-local scalar conservation laws with congestion via deterministic particle method}, 
    author={Emanuela Radici and Federico Stra},
    year={2021},
    eprint={2107.10760},
    archivePrefix={arXiv},
    primaryClass={math.AP},
    url={https://arxiv.org/abs/2107.10760}
}

This is a reimplementation in Rust of the Julia package ConservationLawsParticles.jl.

The goal of this crate is to solve non-local conservation laws with congestion of the form

∂ₜρ + divₓ[ρ⋅v(ρ)⋅(V - ∂ₓW⋆ρ)] = 0

via deterministic particle schemes. Plotting the trajectories of the particles produces images such as