4 papers
Computational study of Proper Orthogonal Decomposition methods for parametric approximations
Bosco García-Archilla, Alicia García-Mascaraque, Julia Novo
This paper studies the computational implementation of proper orthogonal decomposition reduced-order models (POD-ROMs) for evolutionary parametric time-dependent partial differenti…
Error analysis of BDF schemes for the evolutionary incompressible Navier--Stokes equations
Bosco García-Archilla, V. John, Julia Novo
Error bounds for fully discrete schemes for the evolutionary incompressible Navier--Stokes equations are derived in this paper. For the time integration we apply BDF- methods, $…
Using BDF schemes in the temporal integration of POD-ROM methods
Bosco García-Archilla, Alicia García-Mascaraque, Julia Novo
In this paper we consider the numerical approximation of a semilinear reaction-diffusion model problem (PDEs) by means of reduced order methods (ROMs) based on proper orthogonal de…
Pointwise error bounds in POD methods without difference quotients
Bosco García-Archilla, Julia Novo
In this paper we consider proper orthogonal decomposition (POD) methods that do not include difference quotients (DQs) of snapshots in the data set. The inclusion of DQs have been…