Long-Time-Step Methods for Oscillatory Differential Equations. - Bosco García-Archilla; Jesús María Sanz-Serna; Robert D. Skeel (SIAM J. Sci. Comput., 1998)

An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations. - Bosco García-Archilla; Julia Novo; Edriss S. Titi (Math. Comput., 1999)

Postprocessing the Galerkin Method: The Finite-Element Case. - Bosco García-Archilla; Edriss S. Titi (SIAM J. Numer. Anal., 1999)

A postprocessed Galerkin method with Chebyshev or Legendre polynomials. - Javier de Frutos; Bosco García-Archilla; Julia Novo (Numerische Mathematik, 2000)

The Postprocessed Mixed Finite-Element Method for the Navier-Stokes Equations. - Blanca Ayuso de Dios; Bosco García-Archilla; Julia Novo (SIAM J. Numer. Anal., 2005)

The Postprocessed Mixed Finite-Element Method for the Navier-Stokes Equations: Refined Error Bounds. - Javier de Frutos; Bosco García-Archilla; Julia Novo (SIAM J. Numer. Anal., 2007)

Postprocessing Finite-Element Methods for the Navier-Stokes Equations: The Fully Discrete Case. - Javier de Frutos; Bosco García-Archilla; Julia Novo (SIAM J. Numer. Anal., 2008)

A comparison of high-order time integrators for thermal convection in rotating spherical shells. - Ferran Garcia; Marta Net; Bosco García-Archilla; Juan Sánchez (J. Comput. Phys., 2010)

Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems. - Javier de Frutos; Bosco García-Archilla; Julia Novo (SIAM J. Numer. Anal., 2010)

A posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations. - Javier de Frutos; Bosco García-Archilla; Julia Novo (J. Comput. Appl. Math., 2011)

Optimal error bounds for two-grid schemes applied to the Navier-Stokes equations. - Javier de Frutos; Bosco García-Archilla; Julia Novo (Appl. Math. Comput., 2012)

Static Two-Grid Mixed Finite-Element Approximations to the Navier-Stokes Equations. - Javier de Frutos; Bosco García-Archilla; Julia Novo (J. Sci. Comput., 2012)

GRASP algorithms for the robust railway network design problem. - Bosco García-Archilla; Antonio J. Lozano; Juan A. Mesa; Federico Perea (J. Heuristics, 2013)

Grad-div Stabilization for the Evolutionary Oseen Problem with Inf-sup Stable Finite Elements. - Javier de Frutos; Bosco García-Archilla; Volker John; Julia Novo (J. Sci. Comput., 2016)

Local Error Estimates for the SUPG Method Applied to Evolutionary Convection-Reaction-Diffusion Equations. - Javier de Frutos; Bosco García-Archilla; Julia Novo (J. Sci. Comput., 2016)

Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements. - Javier de Frutos; Bosco García-Archilla; Volker John; Julia Novo (Adv. Comput. Math., 2018)

Error analysis of projection methods for non inf-sup stable mixed finite elements. The transient Stokes problem. - Javier de Frutos; Bosco García-Archilla; Julia Novo (Appl. Math. Comput., 2018)

Error Analysis of Projection Methods for Non inf-sup Stable Mixed Finite Elements: The Navier-Stokes Equations. - Javier de Frutos; Bosco García-Archilla; Julia Novo (J. Sci. Comput., 2018)

Grad-div stabilization for the time-dependent Boussinesq equations with inf-sup stable finite elements. - Javier de Frutos; Bosco García-Archilla; Julia Novo (Appl. Math. Comput., 2019)

Fully Discrete Approximations to the Time-Dependent Navier-Stokes Equations with a Projection Method in Time and Grad-Div Stabilization. - Javier de Frutos; Bosco García-Archilla; Julia Novo (J. Sci. Comput., 2019)

Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations. - Bosco García-Archilla; Julia Novo (Adv. Comput. Math., 2020)

Error analysis of proper orthogonal decomposition data assimilation schemes for the Navier-Stokes equations. - Bosco García-Archilla; Julia Novo; Samuele Rubino (CoRR, 2020)

Uniform in Time Error Estimates for a Finite Element Method Applied to a Downscaling Data Assimilation Algorithm for the Navier-Stokes Equations. - Bosco García-Archilla; Julia Novo; Edriss S. Titi (SIAM J. Numer. Anal., 2020)

Robust error bounds for the Navier-Stokes equations using implicit-explicit second order BDF method with variable steps. - Bosco García-Archilla; Julia Novo (CoRR, 2021)

Corrigenda: Fully Discrete Approximations to the Time-dependent Navier-Stokes Equations with a Projection Method in Time and Grad-div Stabilization. - Javier de Frutos; Bosco García-Archilla; Julia Novo (J. Sci. Comput., 2021)

On the influence of the nonlinear term in the numerical approximation of Incompressible Flows by means of proper orthogonal decomposition methods. - Bosco García-Archilla; Julia Novo; Samuele Rubino (CoRR, 2022)

Error analysis of proper orthogonal decomposition data assimilation schemes with grad-div stabilization for the Navier-Stokes equations. - Bosco García-Archilla; Julia Novo; Samuele Rubino (J. Comput. Appl. Math., 2022)

Pressure and convection robust bounds for continuous interior penalty divergence-free finite element methods for the incompressible Navier-Stokes equations. - Bosco García-Archilla; Julia Novo (CoRR, 2023)

POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution. - Bosco García-Archilla; Volker John; Julia Novo (SIAM J. Numer. Anal., 2023)

Second order error bounds for POD-ROM methods based on first order divided differences. - Bosco García-Archilla; Volker John; Julia Novo (Appl. Math. Lett., 2023)

Enhancing nonlinear solvers for the Navier-Stokes equations with continuous (noisy) data assimilation. - Bosco García-Archilla; Xuejian Li; Julia Novo; Leo G. Rebholz (CoRR, 2024)

POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution: Error bounds for the pressure. - Bosco García-Archilla; Volker John; Sarah Katz; Julia Novo (J. Num. Math., 2024)

POD-ROM Methods: From a Finite Set of Snapshots to Continuous-in-Time Approximations. - Bosco García-Archilla; Volker John; Julia Novo (SIAM J. Numer. Anal., 2025)

Optimal Bounds for POD Approximations of Infinite Horizon Control Problems Based on Time Derivatives. - Javier de Frutos; Bosco García-Archilla; Julia Novo (J. Sci. Comput., 2025)

Pointwise Error Bounds in POD Methods Without Difference Quotients. - Bosco García-Archilla; Julia Novo (J. Sci. Comput., 2025)

Using BDF schemes in the temporal integration of POD-ROM methods. - Bosco García-Archilla; Alicia García-Mascaraque; Julia Novo (CoRR, 2025)

Error analysis of BDF schemes for the evolutionary incompressible Navier-Stokes equations. - Bosco García-Archilla; Volker John; Julia Novo (CoRR, 2025)