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Numerical solution of spectral space-fractional diffusion problems: Recent advances and challenges beyond the scalar elliptic case
Let us consider the equation 𝒜α u = f , 0 < α < 1, where 𝒜 is a selfadjoint positive definite operator corresponding to a second order elliptic boundary value problem in a bounded domain Ω ∈ Rd, d ∈ {1, 2, 3}. We assume that the non-local fractional …