3 papers
math.NA2026
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…
math.NA2025
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…
math.NA2025
POD-ROM methods: error analysis for continuous parametrized approximations
Bosco García-Arcilla, Alicia García-Mascaraque, Julia Novo
This paper studies the numerical approximation of parametric time-dependent partial differential equations (PDEs) by proper orthogonal decomposition reduced order models (POD-ROMs)…