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math.AP2021★ 2 cited
Convergence of solutions of a rescaled evolution nonlocal cross-diffusion problem to its local diffusion counterpart
Gonzalo Galiano, Julián Velasco
We prove that, under a suitable rescaling of the integrable kernel defining the nonlocal diffusion terms, the corresponding sequence of solutions of the Shigesada-Kawasaki-Teramoto…
math.NA2021★ 2 cited
Error analysis of some nonlocal diffusion discretization schemes
Gonzalo Galiano
We study two numerical approximations of solutions of nonlocal diffusion evolution problems which are inspired in algorithms for computing the bilateral denoising filtering of an i…