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    Université de Fribourg

    The linear barycentric rational method for a class of delay Volterra integro-differential equations

    Abdi, Ali ; Berrut, Jean–Paul ; Hosseini, Seyyed Ahmad

    In: Journal of Scientific Computing, 2018, vol. 75, no. 3, p. 1757–1775

    A method for solving delay Volterra integro-differential equations is introduced. It is based on two applications of linear barycentric rational interpolation, barycentric rational quadrature and barycentric rational finite differences. Its zero–stability and convergence are studied. Numerical tests demonstrate the excellent agreement of our implementation with the predicted convergence...