Luis Rández

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J. Comput. Appl. Math., March, 2024

Explicit Runge-Kutta methods for the numerical solution of linear inhomogeneous IVPs.

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J. Comput. Appl. Math., June, 2023

Singly TASE Operators for the Numerical Solution of Stiff Differential Equations by Explicit Runge-Kutta Schemes.

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J. Sci. Comput., 2023

A note on the stability of time-accurate and highly-stable explicit operators for stiff differential equations.

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J. Comput. Phys., 2021

On the numerical stability of the exponentially fitted methods for first order IVPs.

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Appl. Math. Comput., 2020

On the effectiveness of spectral methods for the numerical solution of multi-frequency highly oscillatory Hamiltonian problems.

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[DOI]

Luigi Brugnano

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Numer. Algorithms, 2019

Spectrally accurate space-time solution of Hamiltonian PDEs.

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Numer. Algorithms, 2019

High-order energy-conserving Line Integral Methods for charged particle dynamics.

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[DOI]

Luigi Brugnano

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J. Comput. Phys., 2019

An eighth-order exponentially fitted two-step hybrid method of explicit type for solving orbital and oscillatory problems.

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Numer. Algorithms, 2018

Explicit Runge-Kutta Methods for Stiff Problems with a Gap in Their Eigenvalue Spectrum.

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J. Sci. Comput., 2018

A class of explicit high-order exponentially-fitted two-step methods for solving oscillatory IVPs.

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J. Comput. Appl. Math., 2018

Algorithm 968: DISODE45: A Matlab Runge-Kutta Solver for Piecewise Smooth IVPs of Filippov Type.

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ACM Trans. Math. Softw., 2017

Explicit Runge-Kutta schemes for incompressible flow with improved energy-conservation properties.

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J. Comput. Phys., 2017

Explicit exponentially fitted two-step hybrid methods of high order for second-order oscillatory IVPs.

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Appl. Math. Comput., 2016

Functionally Fitted Explicit Two Step Peer Methods.

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J. Sci. Comput., 2015

Numerical methods for non conservative perturbations of conservative problems.

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Comput. Phys. Commun., 2015

Two new embedded pairs of explicit Runge-Kutta methods adapted to the numerical solution of oscillatory problems.

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Yasmina Khiar

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Appl. Math. Comput., 2015

Runge-Kutta projection methods with low dispersion and dissipation errors.

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Adv. Comput. Math., 2015

Optimization of explicit two-step hybrid methods for solving orbital and oscillatory problems.

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Inmaculada Gómez

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Comput. Phys. Commun., 2014

On some new low storage implementations of time advancing Runge-Kutta methods.

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J. Comput. Appl. Math., 2012

Energy-preserving methods for Poisson systems.

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J. Comput. Appl. Math., 2012

Error growth in the numerical integration of periodic orbits.

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Math. Comput. Simul., 2011

New embedded explicit pairs of exponentially fitted Runge-Kutta methods.

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[DOI]

A. París

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J. Comput. Appl. Math., 2010

Symmetric and symplectic exponentially fitted Runge-Kutta methods of high order.

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[DOI]

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Comput. Phys. Commun., 2010

Approximate preservation of quadratic first integrals by explicit Runge-Kutta methods.

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[DOI]

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Adv. Comput. Math., 2010

Sixth-order symmetric and symplectic exponentially fitted modified Runge-Kutta methods of Gauss type.

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Comput. Phys. Commun., 2008

On explicit multi-revolution Runge-Kutta schemes.

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Adv. Comput. Math., 2007

On the Preservation of Invariants by Explicit Runge-Kutta Methods.

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Domingo Hernández-Abreu

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SIAM J. Sci. Comput., 2006

Approximate compositions of a near identity map by multi-revolution Runge-Kutta methods.

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Numerische Mathematik, 2004

On the Solution of Discontinuous IVPs by Adaptive Runge-Kutta Codes.

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Numer. Algorithms, 2003

Four-stage symplectic and P-stable SDIRKN methods with dispersion of high order.

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[DOI]

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Inmaculada Gómez

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Numer. Algorithms, 2001

Stepsize selection for tolerance proportionality in explicit Runge-Kutta codes.

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[DOI]

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Adv. Comput. Math., 1997

Optimizing the Numerical Integration of Initial Value Problems in Shooting Methods for Linear Boundary Value Problems.

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SIAM J. Sci. Comput., 1993

On the change of step size in multistep codes.

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