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math.AP2016★ 16 cited
Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications
Ó. Ciaurri, L. Roncal, P. R. Stinga +2
The analysis of nonlocal discrete equations driven by fractional powers of the discrete Laplacian on a mesh of size \[ (-Δ_h)^su=f, \] for , $0…
math.AP2015★ 11 cited
Fractional discrete Laplacian versus discretized fractional Laplacian
Ó. Ciaurri, L. Roncal, P. R. Stinga +2
We define and study some properties of the fractional powers of the discrete Laplacian for and . A comparison b…