First, second and third order fractional step methods for the three-field viscoelastic flow problem. - Ernesto Castillo; Ramon Codina (J. Comput. Phys., 2015)

Numerical verification of a non-residual orthogonal term-by-term stabilized finite element formulation for incompressible convective flow problems. - A. González; Ernesto Castillo; Marcela A. Cruchaga (Comput. Math. Appl., 2020)

Effect of time integration scheme in the numerical approximation of thermally coupled problems: From first to third order. - E. Ortega; Ernesto Castillo; Roberto Carlos Cabrales; Nelson O. Moraga (Comput. Math. Appl., 2021)

Reduced order modeling for parametrized generalized Newtonian fluid flows. - Ricardo Reyes; Oscar Ruz; Camilo Bayona-Roa; Ernesto Castillo; Alexis Tello (J. Comput. Phys., 2023)

Non-relaxed finite volume fractional step schemes for unsteady incompressible flows. - Felipe A. Díaz; Ernesto Castillo; Roberto Carlos Cabrales; Nelson O. Moraga (Comput. Math. Appl., 2023)

Unconditionally stable, linearised IMEX schemes for incompressible flows with variable density. - Nicolás Espinoza-Contreras; Gabriel R. Barrenechea; Ernesto Castillo; Douglas R. Q. Pacheco (CoRR, 2024)

A reduced-order framework for temperature estimation in food freezing from optimally located sensors, including turbulent conjugate flow scenarios. - Felipe Galarce; Diego Rivera; Douglas R. Q. Pacheco; Alfonso Caiazzo; Ernesto Castillo (CoRR, 2024)

Implicit-explicit Schemes for Incompressible Flow Problems with Variable Viscosity. - Gabriel R. Barrenechea; Ernesto Castillo; Douglas R. Q. Pacheco (SIAM J. Sci. Comput., 2024)

Fully decoupled fractional-step methods for non-linear viscoelastic flows: Natural heat convection, viscous dissipation and phase change. - Ismael Aguirre; Douglas R. Q. Pacheco; Ernesto Castillo (Commun. Nonlinear Sci. Numer. Simul., 2025)

Spatially and temporally high-order dynamic nonlinear variational multiscale methods for generalized Newtonian flows. - F. Guerrero; Ernesto Castillo; Felipe Galarce; Douglas R. Q. Pacheco (Commun. Nonlinear Sci. Numer. Simul., 2025)

Estimation of Hemodynamic Parameters via Physics Informed Neural Networks including Hematocrit Dependent Rheology. - Moises Sierpe; Ernesto Castillo; Hernán Mella; Felipe Galarce (CoRR, 2025)

Evaluating the impact of blood rheology in hemodynamic parameters by 4D Flow MRI in large vessels considering the hematocrit effect. - Hernán Mella; Felipe Galarce; Tetsuro Sekine; Julio Sotelo; Ernesto Castillo (Biomed. Signal Process. Control., 2026)