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math.NA2023
Numerical computation of the half Laplacian by means of a fast convolution algorithm
Carlota M. Cuesta, Francisco de la Hoz, Ivan Girona
In this paper, we develop a fast and accurate pseudospectral method to approximate numerically the half Laplacian of a function on , which is equivalent to…
math.AP2023
Large time behaviour of a conservation law regularised by a Riesz-Feller operator: the sub-critical case
Carlota M. Cuesta, Xuban Diez
We study the large time behaviour of the solutions of a non-local regularisation of a scalar conservation law. This regularisation is given by a fractional derivative of order $1+α…