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Reduced basis approximations of the solutions to spectral fractional diffusion problems

Reduced basis approximations of the solutions to spectral fractional diffusion problems

Abstract We consider the numerical approximation of the spectral fractional diffusion problem based on the so called Balakrishnan representation. The latter consists of an improper integral approximated via quadratures. At each quadrature point, a reaction–diffusion problem must be approximated and is the method bottle neck. In this work, we propose …