Luis Rández

Publication Activity (10 Years)

Years Active: 1993-2024
Publications (10 Years): 18

Top Topics

Differential Equations

Piecewise Smooth

Top Venues

J. Comput. Phys.

J. Comput. Appl. Math.

Appl. Math. Comput.

Numer. Algorithms

Publications

Juan I. Montijano, Luis Rández, Manuel Calvo
Explicit Runge-Kutta-Nyström methods for the numerical solution of second order linear inhomogeneous IVPs. J. Comput. Appl. Math. 438 (2024)
Juan I. Montijano, Luis Rández, Manuel Calvo
Explicit Runge-Kutta methods for the numerical solution of linear inhomogeneous IVPs. J. Comput. Appl. Math. 425 (2023)
Manuel Calvo, Lin Fu, Juan I. Montijano, Luis Rández
Singly TASE Operators for the Numerical Solution of Stiff Differential Equations by Explicit Runge-Kutta Schemes. J. Sci. Comput. 96 (1) (2023)
Manuel Calvo, Juan I. Montijano, Luis Rández
A note on the stability of time-accurate and highly-stable explicit operators for stiff differential equations. J. Comput. Phys. 436 (2021)
Juan I. Montijano, Luis Rández, Marnix Van Daele, Manuel Calvo
On the numerical stability of the exponentially fitted methods for first order IVPs. Appl. Math. Comput. 379 (2020)
Luigi Brugnano, Juan I. Montijano, Luis Rández
On the effectiveness of spectral methods for the numerical solution of multi-frequency highly oscillatory Hamiltonian problems. Numer. Algorithms 81 (1) (2019)
Luigi Brugnano, Felice Iavernaro, Juan I. Montijano, Luis Rández
Spectrally accurate space-time solution of Hamiltonian PDEs. Numer. Algorithms 81 (4) (2019)
Luigi Brugnano, Juan I. Montijano, Luis Rández
High-order energy-conserving Line Integral Methods for charged particle dynamics. J. Comput. Phys. 396 (2019)
J. M. Franco, Luis Rández
A class of explicit high-order exponentially-fitted two-step methods for solving oscillatory IVPs. J. Comput. Appl. Math. 342 (2018)
Philippe Bocher, Juan I. Montijano, Luis Rández, Marnix Van Daele
Explicit Runge-Kutta Methods for Stiff Problems with a Gap in Their Eigenvalue Spectrum. J. Sci. Comput. 77 (2) (2018)
J. M. Franco, Luis Rández
An eighth-order exponentially fitted two-step hybrid method of explicit type for solving orbital and oscillatory problems. Numer. Algorithms 78 (1) (2018)
Francesco Capuano, Gennaro Coppola, Luis Rández, Luigi de Luca
Explicit Runge-Kutta schemes for incompressible flow with improved energy-conservation properties. J. Comput. Phys. 328 (2017)
Manuel Calvo, Juan I. Montijano, Luis Rández
Algorithm 968: DISODE45: A Matlab Runge-Kutta Solver for Piecewise Smooth IVPs of Filippov Type. ACM Trans. Math. Softw. 43 (3) (2017)
J. M. Franco, Luis Rández
Explicit exponentially fitted two-step hybrid methods of high order for second-order oscillatory IVPs. Appl. Math. Comput. 273 (2016)
Manuel Calvo, M. P. Laburta, Juan I. Montijano, Luis Rández
Runge-Kutta projection methods with low dispersion and dissipation errors. Adv. Comput. Math. 41 (1) (2015)
J. M. Franco, Yasmina Khiar, Luis Rández
Two new embedded pairs of explicit Runge-Kutta methods adapted to the numerical solution of oscillatory problems. Appl. Math. Comput. 252 (2015)
M. P. Laburta, Juan I. Montijano, Luis Rández, Manuel Calvo
Numerical methods for non conservative perturbations of conservative problems. Comput. Phys. Commun. 187 (2015)
Juan I. Montijano, Luis Rández, Marnix Van Daele, Manuel Calvo
Functionally Fitted Explicit Two Step Peer Methods. J. Sci. Comput. 64 (3) (2015)
J. M. Franco, Inmaculada Gómez, Luis Rández
Optimization of explicit two-step hybrid methods for solving orbital and oscillatory problems. Comput. Phys. Commun. 185 (10) (2014)
Luigi Brugnano, Manuel Calvo, Juan I. Montijano, Luis Rández
Energy-preserving methods for Poisson systems. J. Comput. Appl. Math. 236 (16) (2012)
Manuel Calvo, J. M. Franco, Juan I. Montijano, Luis Rández
On some new low storage implementations of time advancing Runge-Kutta methods. J. Comput. Appl. Math. 236 (15) (2012)
Manuel Calvo, M. P. Laburta, Juan I. Montijano, Luis Rández
Error growth in the numerical integration of periodic orbits. Math. Comput. Simul. 81 (12) (2011)
Manuel Calvo, J. M. Franco, Juan I. Montijano, Luis Rández
Symmetric and symplectic exponentially fitted Runge-Kutta methods of high order. Comput. Phys. Commun. 181 (12) (2010)
Manuel Calvo, M. P. Laburta, Juan I. Montijano, Luis Rández
Approximate preservation of quadratic first integrals by explicit Runge-Kutta methods. Adv. Comput. Math. 32 (3) (2010)
A. París, Luis Rández
New embedded explicit pairs of exponentially fitted Runge-Kutta methods. J. Comput. Appl. Math. 234 (3) (2010)
Manuel Calvo, J. M. Franco, Juan I. Montijano, Luis Rández
Sixth-order symmetric and symplectic exponentially fitted modified Runge-Kutta methods of Gauss type. Comput. Phys. Commun. 178 (10) (2008)
Manuel Calvo, Juan I. Montijano, Luis Rández
On explicit multi-revolution Runge-Kutta schemes. Adv. Comput. Math. 26 (1-3) (2007)
Manuel Calvo, Domingo Hernández-Abreu, Juan I. Montijano, Luis Rández
On the Preservation of Invariants by Explicit Runge-Kutta Methods. SIAM J. Sci. Comput. 28 (3) (2006)
Manuel Calvo, Laurent O. Jay, Juan I. Montijano, Luis Rández
Approximate compositions of a near identity map by multi-revolution Runge-Kutta methods. Numerische Mathematik 97 (4) (2004)
Manuel Calvo, Juan I. Montijano, Luis Rández
On the Solution of Discontinuous IVPs by Adaptive Runge-Kutta Codes. Numer. Algorithms 33 (1-4) (2003)
J. M. Franco, Inmaculada Gómez, Luis Rández
Four-stage symplectic and P-stable SDIRKN methods with dispersion of high order. Numer. Algorithms 26 (4) (2001)
Manuel Calvo, Desmond J. Higham, Juan I. Montijano, Luis Rández
Stepsize selection for tolerance proportionality in explicit Runge-Kutta codes. Adv. Comput. Math. 7 (3) (1997)
Manuel Calvo, Juan I. Montijano, Luis Rández
On the change of step size in multistep codes. Numer. Algorithms 4 (2) (1993)
Luis Rández
Optimizing the Numerical Integration of Initial Value Problems in Shooting Methods for Linear Boundary Value Problems. SIAM J. Sci. Comput. 14 (4) (1993)