Lizama, CarlosMurillo Arcila, Marina2024-01-192024-01-192022-081078-0947https://riunet.upv.es/handle/10251/202051[EN] We study discrete time maximal regularity in Lebesgue spaces of sequences for time-stepping schemes arising from Lubich's convolution quadrature method. We show minimal properties on the quadrature weights that determines a wide class of implicit schemes. For an appropriate choice of the weights, we are able to identify the theta-method as well as the backward differentiation formulas and the L1-scheme. Fractional versions of these schemes, some of them completely new, are also shown, as well as their representation by means of the Grunwald-Letnikov fractional order derivative. Our results extend and improve some recent results on the subject and provide new insights on the basic nature of the weights that ensure maximal regularity.Reserva de todos los derechosMaximal regularityTime-stepping schemesConvolution quadratureNonlocal time-stepping schemesMaximal regularity for time-stepping schemes arising from convolution quadrature of non-local in time equationsArtÃculo10.3934/dcds.2022032Abierto