Severiano González-Pinto

Giovanni Pagano

J. Sci. Comput., August, 2024

Boundary corrections on multi-dimensional PDEs.

[BibT_eX]

[DOI]

Numer. Algorithms, June, 2024

2023

High order PDE-convergence of AMF-W methods for 2D-linear parabolic problems.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2023

2022

A unified formulation of splitting-based implicit time integration schemes.

[BibT_eX]

[DOI]

Maria Soledad Pérez-Rodríguez

Arash Sarshar

Steven Roberts

Adrian Sandu

J. Comput. Phys., 2022

2021

AMFR-W-methods for parabolic problems with mixed derivates. Applications to the Heston model.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2021

Convergence in the maximum norm of ADI-type methods for parabolic problems.

[BibT_eX]

[DOI]

CoRR, 2021

2020

Variable Step-Size Control Based on Two-Steps for Radau IIA Methods.

[BibT_eX]

[DOI]

Juan Ignacio Montijano

ACM Trans. Math. Softw., 2020

Convergence in ℓ<sub>2</sub> and ℓ<sub>∞</sub> Norm of One-Stage AMF-W-Methods for Parabolic Problems.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2020

2018

AMF-type W-methods for Parabolic Problems with Mixed Derivatives.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2018

PDE-W-methods for parabolic problems with mixed derivatives.

[BibT_eX]

[DOI]

Numer. Algorithms, 2018

2017

W-methods to stabilize standard explicit Runge-Kutta methods in the time integration of advection-diffusion-reaction PDEs.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2017

2016

A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs.

[BibT_eX]

[DOI]

Rüdiger Weiner

Appl. Math. Comput., 2016

2015

AMF-Runge-Kutta formulas and error estimates for the time integration of advection diffusion reaction PDEs.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2015

On the global error of special Runge-Kutta methods applied to linear Differential Algebraic Equations.

[BibT_eX]

[DOI]

Kristian Debrabant

Appl. Math. Lett., 2015

2014

Strongly A-stable first stage explicit collocation methods with stepsize control for stiff and differential-algebraic equations.

[BibT_eX]

[DOI]

Bernd Simeon

J. Comput. Appl. Math., 2014

Rosenbrock-type methods with Inexact AMF for the time integration of advection-diffusion-reaction PDEs.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2014

A comparison of AMF- and Krylov-methods in Matlab for large stiff ODE systems.

[BibT_eX]

[DOI]

Steffen Beck

Rüdiger Weiner

J. Comput. Appl. Math., 2014

2010

A Code Based on the Two-Stage Runge-Kutta Gauss Formula for Second-Order Initial Value Problems.

[BibT_eX]

[DOI]

Rogel Rojas-Bello

ACM Trans. Math. Softw., 2010

An efficient family of strongly A-stable Runge-Kutta collocation methods for stiff systems and DAEs. Part I: Stability and order results.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2010

2009

An iterated Radau method for time-dependent PDEs.

[BibT_eX]

[DOI]

Ben P. Sommeijer

J. Comput. Appl. Math., 2009

2007

On the Contractivity and Convergence of General Linear Methods on Semi-Infinite Intervals.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2007

2004

Two-step error estimators for implicit Runge-Kutta methods applied to stiff systems.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2004

Stable Runge-Kutta integrations for differential systems with semi-stable equilibria.

[BibT_eX]

[DOI]

Numerische Mathematik, 2004

2003

Differential systems with semi-stable equilibria and numerical methods.

[BibT_eX]

[DOI]

Numerische Mathematik, 2003

2000

On the iterative solution of the algebraic equations in fully implicit Runge-Kutta methods.

[BibT_eX]

[DOI]

Manuel Calvo

Numer. Algorithms, 2000

1998

On the convergence of Runge-Kutta methods for stiff non linear differential equations.

[BibT_eX]

[DOI]

Manuel Calvo

Numerische Mathematik, 1998

1992

On extrapolation of Jagerman and Stetter rules.

[BibT_eX]

[DOI]