On extrapolation of Jagerman and Stetter rules. - Severiano González-Pinto; Pablo González-Vera; Juan Carlos Santos-León (Numer. Algorithms, 1992)

On the convergence of Runge-Kutta methods for stiff non linear differential equations. - Manuel Calvo; Severiano González-Pinto; Juan I. Montijano (Numerische Mathematik, 1998)

On the iterative solution of the algebraic equations in fully implicit Runge-Kutta methods. - Manuel Calvo; Severiano González-Pinto; Juan I. Montijano (Numer. Algorithms, 2000)

Differential systems with semi-stable equilibria and numerical methods. - Severiano González-Pinto (Numerische Mathematik, 2003)

Stable Runge-Kutta integrations for differential systems with semi-stable equilibria. - Severiano González-Pinto; Domingo Hernández-Abreu (Numerische Mathematik, 2004)

Two-step error estimators for implicit Runge-Kutta methods applied to stiff systems. - Severiano González-Pinto; Juan I. Montijano; Soledad Pérez-Rodríguez (ACM Trans. Math. Softw., 2004)

On the Contractivity and Convergence of General Linear Methods on Semi-Infinite Intervals. - Severiano González-Pinto; Domingo Hernández-Abreu (SIAM J. Numer. Anal., 2007)

An iterated Radau method for time-dependent PDEs. - Soledad Pérez-Rodríguez; Severiano González-Pinto; Ben P. Sommeijer (J. Comput. Appl. Math., 2009)

An efficient family of strongly A-stable Runge-Kutta collocation methods for stiff systems and DAEs. Part I: Stability and order results. - Severiano González-Pinto; Domingo Hernández-Abreu; Juan I. Montijano (J. Comput. Appl. Math., 2010)

A Code Based on the Two-Stage Runge-Kutta Gauss Formula for Second-Order Initial Value Problems. - Severiano González-Pinto; Rogel Rojas-Bello (ACM Trans. Math. Softw., 2010)

A comparison of AMF- and Krylov-methods in Matlab for large stiff ODE systems. - Steffen Beck; Severiano González-Pinto; Soledad Pérez-Rodríguez; Rüdiger Weiner (J. Comput. Appl. Math., 2014)

Rosenbrock-type methods with Inexact AMF for the time integration of advection-diffusion-reaction PDEs. - Severiano González-Pinto; Domingo Hernández-Abreu; Soledad Pérez-Rodríguez (J. Comput. Appl. Math., 2014)

Strongly A-stable first stage explicit collocation methods with stepsize control for stiff and differential-algebraic equations. - Severiano González-Pinto; Domingo Hernández-Abreu; Bernd Simeon (J. Comput. Appl. Math., 2014)

On the global error of special Runge-Kutta methods applied to linear Differential Algebraic Equations. - Kristian Debrabant; Severiano González-Pinto; Domingo Hernández-Abreu (Appl. Math. Lett., 2015)

AMF-Runge-Kutta formulas and error estimates for the time integration of advection diffusion reaction PDEs. - Severiano González-Pinto; Domingo Hernández-Abreu; Soledad Pérez-Rodríguez (J. Comput. Appl. Math., 2015)

A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs. - Severiano González-Pinto; Domingo Hernández-Abreu; Soledad Pérez-Rodríguez; Rüdiger Weiner (Appl. Math. Comput., 2016)

W-methods to stabilize standard explicit Runge-Kutta methods in the time integration of advection-diffusion-reaction PDEs. - Severiano González-Pinto; Domingo Hernández-Abreu; Soledad Pérez-Rodríguez (J. Comput. Appl. Math., 2017)

PDE-W-methods for parabolic problems with mixed derivatives. - Severiano González-Pinto; Ernst Hairer; Domingo Hernández-Abreu; Soledad Pérez-Rodríguez (Numer. Algorithms, 2018)

AMF-type W-methods for Parabolic Problems with Mixed Derivatives. - Severiano González-Pinto; Ernst Hairer; Domingo Hernández-Abreu; Soledad Pérez-Rodríguez (SIAM J. Sci. Comput., 2018)

Convergence in ℓ2 and ℓ∞ Norm of One-Stage AMF-W-Methods for Parabolic Problems. - Severiano González-Pinto; Ernst Hairer; Domingo Hernández-Abreu (SIAM J. Numer. Anal., 2020)

Variable Step-Size Control Based on Two-Steps for Radau IIA Methods. - Severiano González-Pinto; Domingo Hernández-Abreu; Juan Ignacio Montijano (ACM Trans. Math. Softw., 2020)

Convergence in the maximum norm of ADI-type methods for parabolic problems. - Severiano González-Pinto; Domingo Hernández-Abreu (CoRR, 2021)

AMFR-W-methods for parabolic problems with mixed derivates. Applications to the Heston model. - Severiano González-Pinto; Domingo Hernández-Abreu; Soledad Pérez-Rodríguez (J. Comput. Appl. Math., 2021)

A unified formulation of splitting-based implicit time integration schemes. - Severiano González-Pinto; Domingo Hernández-Abreu; Maria Soledad Pérez-Rodríguez; Arash Sarshar; Steven B. Roberts; Adrian Sandu (J. Comput. Phys., 2022)

High order PDE-convergence of AMF-W methods for 2D-linear parabolic problems. - Severiano González-Pinto; Ernst Hairer; Domingo Hernández-Abreu (J. Comput. Appl. Math., 2023)

Boundary corrections on multi-dimensional PDEs. - Severiano González-Pinto; Domingo Hernández-Abreu; Soledad Pérez-Rodríguez (Numer. Algorithms, 2024)

On Approximate Matrix Factorization and TASE W-Methods for the Time Integration of Parabolic Partial Differential Equations. - Dajana Conte; Severiano González-Pinto; Domingo Hernández-Abreu; Giovanni Pagano (J. Sci. Comput., 2024)