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Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes

Lizama, Carlos; Murillo Arcila, Marina (American Institute of Mathematical Sciences, 2020-01)

[EN] In this paper we investigate conditions for maximal regularity of Volterra equations defined on the Lebesgue space of sequences l(p)(Z) by using Blunck's theorem on the equivalence between operator-valued l(p)-multipliers ...
Maximal regularity for time-stepping schemes arising from convolution quadrature of non-local in time equations

Lizama, Carlos; Murillo Arcila, Marina (American Institute of Mathematical Sciences, 2022-08)

[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 ...
One-step Taylor-Galerkin methods for convection-diffusion problems

Roig, Bernardino (Elsevier, 2007-07-01)

Third and fourth order Taylor-Galerkin schemes have shown to be efficient. finite element schemes for the numerical simulation of time-dependent convective transport problems. By contrast, the application of higher-order ...

Mostrando ítems 1-3 de 3