For admissible smoothing kernels, the diffusion-velocity approximation to the porous media equation converges in Wasserstein-2 at rate ε^r with r<1/[d(4k+2)], and at rate ε^{1/2} in one dimension.
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A deterministic particle method for the porous media equation
For admissible smoothing kernels, the diffusion-velocity approximation to the porous media equation converges in Wasserstein-2 at rate ε^r with r<1/[d(4k+2)], and at rate ε^{1/2} in one dimension.