Juan I. Montijano

Publication Activity (10 Years)

Years Active: 1993-2024
Publications (10 Years): 17

Top Topics

Numerical Solution

Differential Equations

Top Venues

J. Sci. Comput.

Math. Comput. Simul.

J. Comput. Phys.

J. Comput. Appl. Math.

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)
Antonio Rafael Selva Castañeda, Erick Eduardo Ramirez-Torres, Luis Eugenio Valdés-García, Hilda María Morandeira-Padrón, Diana Sedal Yanez, Juan I. Montijano, Luis Enrique Bergues Cabrales
Modified SEIR epidemic model including asymptomatic and hospitalized cases with correct demographic evolution. Appl. Math. Comput. 456 (2023)
Antonio Rafael Selva Castañeda, Josue Mariño del Pozo, Erick Eduardo Ramirez-Torres, Eduardo José Roca Oria, Sorangel Bolaños Vaillant, Juan I. Montijano, Luis Enrique Bergues Cabrales
Spatio temporal dynamics of direct current in treated anisotropic tumors. Math. Comput. Simul. 203 (2023)
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)
Luis Enrique Bergues Cabrales, Juan I. Montijano, Maria E. Schonbek, Antonio Rafael Selva Castañeda
A viscous modified Gompertz model for the analysis of the kinetics of tumors under electrochemical therapy. Math. Comput. Simul. 151 (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)
Eduardo Montijano, Juan I. Montijano, Carlos Sagüés
Fast distributed algebraic connectivity estimation in large scale networks. J. Frankl. Inst. 354 (13) (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)
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)
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)
Eduardo Montijano, Juan I. Montijano, Carlos Sagüés, Sonia Martínez
Step size analysis in discrete-time dynamic average consensus. ACC (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)
Eduardo Montijano, Juan I. Montijano, Carlos Sagüés
Chebyshev Polynomials in Distributed Consensus Applications CoRR (2011)
Eduardo Montijano, Juan I. Montijano, Carlos Sagüés
Adaptive consensus and algebraic connectivity estimation in sensor networks with chebyshev polynomials. CDC/ECC (2011)
Eduardo Montijano, Juan I. Montijano, Carlos Sagüés
Fast distributed consensus with Chebyshev polynomials. ACC (2011)
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)
Severiano González-Pinto, Domingo Hernández-Abreu, Juan I. Montijano
An efficient family of strongly A-stable Runge-Kutta collocation methods for stiff systems and DAEs. Part I: Stability and order results. J. Comput. Appl. Math. 234 (4) (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)
Severiano González-Pinto, Juan I. Montijano, S. Pérez-Rodríguez
Two-step error estimators for implicit Runge-Kutta methods applied to stiff systems. ACM Trans. Math. Softw. 30 (1) (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)
Manuel Calvo, M. P. Laburta, Juan I. Montijano
Two-Step High Order Starting Values for Implicit Runge-Kutta Methods. Adv. Comput. Math. 19 (4) (2003)
Manuel Calvo, Severiano González-Pinto, Juan I. Montijano
On the iterative solution of the algebraic equations in fully implicit Runge-Kutta methods. Numer. Algorithms 23 (1) (2000)
Manuel Calvo, Severiano González-Pinto, Juan I. Montijano
On the convergence of Runge-Kutta methods for stiff non linear differential equations. Numerische Mathematik 81 (1) (1998)
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)