Profile (CV) of the research teaching staff

Journal articles

• Montijano, J. I.; Rández, L.; Calvo, M. Explicit Runge–Kutta–Nyström methods for the numerical solution of second order linear inhomogeneous IVPs. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2024. DOI: 10.1016/j.cam.2023.115533
  
  
• Calvo, M.; Montijano, J.I.; Rández, L.; Saenz de la Torre, A. Explicit two-step peer methods with reused stages. APPLIED NUMERICAL MATHEMATICS. 2023. DOI: 10.1016/j.apnum.2023.09.008
  
  
• Calvo, Manuel; Fu, Lin; Montijano, Juan I.; Rández, Luis. Singly TASE Operators for the Numerical Solution of Stiff Differential Equations by Explicit Runge–Kutta Schemes. JOURNAL OF SCIENTIFIC COMPUTING. 2023. DOI: 10.1007/s10915-023-02232-3
  
  
• Montijano, J.I.; Rández, L.; Calvo, M. Explicit Runge–Kutta methods for the numerical solution of linear inhomogeneous IVPs. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2023. DOI: 10.1016/j.cam.2023.115083
  
  
• Selva Castañeda, Antonio Rafael; Mariño del Pozo, Josue; Ramirez-Torres, Erick Eduardo; Roca Oria, Eduardo José; Bolaños Vaillant, Sorangel; Montijano, Juan I.; Bergues Cabrales, Luis Enrique Spatio temporal dynamics of direct current in treated anisotropic tumors. MATHEMATICS AND COMPUTERS IN SIMULATION. 2023. DOI: 10.1016/j.matcom.2022.07.004
  
  
• Selva Castañeda, Antonio Rafael ; Ramírez-Torres, Erick Eduardo; Valdés-García, Luis Eugenio; Morandeira-Padrón, Hilda María; Yanez, Diana Sedal; Montijano, Juan I.; Bergues Cabrales , Luis Enrique Modified SEIR epidemic model including asymptomatic and hospitalized cases with correct demographic evolution. APPLIED MATHEMATICS AND COMPUTATION. 2023. DOI: 10.1016/j.amc.2023.128122
  
  
• Bory Prevez, Henry; Soutelo Jimenez, Argenis Adrian; Roca Oria, Eduardo José; Heredia Kindelán, José Alejandro; Morales González, Maraelys; Villar Goris, Narciso Antonio; Hernández Mesa, Nibaldo; Sierra González, Victoriano Gustavo; Infantes Frometa, Yenia; Montijano, Juan Ignacio; Bergues Cabrales, Luis Enrique. Simulations of surface charge density changes during the untreated solid tumour growth. ROYAL SOCIETY OPEN SCIENCE. 2022. DOI: 10.1098/rsos.220552
  
  
• Calvo, M.; Montijano, J.I.; Rández, L. A note on the stability of time–accurate and highly–stable explicit operators for stiff differential equations. JOURNAL OF COMPUTATIONAL PHYSICS. 2021. DOI: 10.1016/j.jcp.2021.110316
  
  
• Ramirez-Torres, E.E.; Castaneda, A.R.S.; Rodriguez-Aldana, Y.; Dominguez, S.S.; Garcia, L.E.V.; Palü-Orozco, A.; Oliveros-Dominguez, E.R.; Zamora-Matamoros, L.; Labrada-Claro, R.; Cobas-Batista, M.; Sedai-Yanes, D.; Soler-Narino, O.; Valdés-Sosa, P.A.; Montijano, J.I.; Cabrales, L.E.B. Mathematical modeling and forecasting of COVID-19: experience in Santiago de Cuba province. REVISTA MEXICANA DE FISICA. 2021. DOI: 10.31349/RevMexFis.67.123
  
  
• Gonzalez Pinto, S.; Hernandez Abreu, D.; Montijano, J.I. Variable Step-Size Control Based on Two-Steps for Radau IIA Methods. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. 2020. DOI: 10.1145/3408892
  
  
• Montijano, J.I.; Rández, L.; Van Daele, M.; Calvo, M. On the numerical stability of the exponentially fitted methods for first order IVPs. APPLIED MATHEMATICS AND COMPUTATION. 2020. DOI: 10.1016/j.amc.2020.125249
  
  
• Goris, N.A.V.; Rodríguez, J.L.G.; González, M.M.; Borges, B.O.; Morales, D.F.; Calzado, E.M.; Castañeda, A.R.S.; Torres, L.M.; Montijano, J.I.; González, V.G.S.; Pérez, D.J.; Posada, O.O.; Martínez, J.A.; Delgado, A.G.; Martínez, K.G.; Mon, M.L.; Monzón, K.L.; Ciria, H.M.C.; Cabrales, L.E.B. Efficacy of direct current generated by multiple-electrode arrays on F3II mammary carcinoma: experiment and mathematical modeling. JOURNAL OF TRANSLATIONAL MEDICINE. 2020. DOI: 10.1186/s12967-020-02352-6
  
  
• Goris, N.A.V.; Castaneda, A.R.S.; Ramirez-Torres, E.E.; Reyes, J.B.; Randez, L.; Bergues Cabrales, L.E.; Montijano, J.I. Correspondence between formulations of Avrami and Gompertz equations for untreated tumor growth kinetics. REVISTA MEXICANA DE FISICA. 2020. DOI: 10.31349/RevMexFis.66.632
  
  
• Brugnano, L.; Montijano, J.I.; Randez, L. High-order energy-conserving Line Integral Methods for charged particle dynamics. JOURNAL OF COMPUTATIONAL PHYSICS. 2019. DOI: 10.1016/j.jcp.2019.06.068
  
  
• Calvo, M; Elipe, A; Montijano, J.I; Randez, L. A monotonic starter for solving the hyperbolic Kepler equation by Newton's method. CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY. 2019. DOI: 10.1007/s10569-019-9894-4
  
  
• Brugnano, L.; Iavernaro, F.; Montijano, J.I.; Rández, L. Space-time spectrally accurate HBVMs for Hamiltonian PDEs. AIP CONFERENCE PROCEEDINGS. 2019. DOI: 10.1063/1.5114129
  
  
• Selva Castañeda, A.R.; Ramírez Torres, E.; Villa Goris, N.A.; Morales González, M.; Bory Reyes, J.; Sierra González, V.G.; Schonbek, M.; Montijano, J.I.; Berges Cabrales, L.E. New formulation of the Gompertz equation to describe the kinetics of untreated tumors. PLOS ONE. 2019. DOI: 10.1371/JOURNAL.PONE.0224978
  
  
• Calvo, M.; Montijano, J.I.; Rández, L.; Elipe, A. Approximate trigonometric series expansions of some bounded solutions in the Tsien problem. JOURNAL OF GUIDANCE CONTROL AND DYNAMICS. 2019. DOI: 10.2514/1.G004300
  
  
• Brugnano, L.; Montijano, J.I.; Rández, L. On the effectiveness of spectral methods for the numerical solution of multi-frequency highly oscillatory Hamiltonian problems. NUMERICAL ALGORITHMS. 2018. DOI: 10.1007/s11075-018-0552-9
  
  
• Gonzalez, M.M.; Morales, D.F.; Cabrales, L.E.B.; Perez, D.J.; Montijano, J.I.; Castaneda, A.R.S.; Gonzalez, V.G.S.; Posada, O.O.; Martinez, J.A.; Delgado, A.G.; Martinez, K.G.; Mon, M.L.; Monzon, K.L.; Ciria, H.M.C.; Beaton, E.O.; Brooks, S.C.A.; Gonzalez, T.R.; Jarque, M.V.; Mateus, M.A.O.; Rodriguez, J.L.G.; Calzado, E.M. Dose-response study for the highly aggressive and metastatic primary F3II mammary carcinoma under direct current. BIOELECTROMAGNETICS. 2018. DOI: 10.1002/bem.22132
  
  
• Montijano, J.I.; Podhaisky, H.; Rández, L.; Calvo, M. A family of L-stable singly implicit peer methods for solving stiff IVPs. BIT NUMERICAL MATHEMATICS. 2018. DOI: 10.1007/s10543-018-0734-9
  
  
• Bocher, P.; Montijano, J.I.; Rández, L.; Van Daele, M. Explicit Runge–Kutta Methods for Stiff Problems with a Gap in Their Eigenvalue Spectrum. JOURNAL OF SCIENTIFIC COMPUTING. 2018. DOI: 10.1007/s10915-018-0737-3
  
  
• Brugnano, L.; Iavernaro, F.; Montijano, J.I.; Rández, L. Spectrally accurate space-time solution of Hamiltonian PDEs. NUMERICAL ALGORITHMS. 2018. DOI: 10.1007/s11075-018-0586-z
  
  
• Bergues Cabrales, L.E.; Montijano, J.I.; Schonbek, M.; Selva Castañeda, A.R. A viscous modified Gompertz model for the analysis of the kinetics of tumors under electrochemical therapy. MATHEMATICS AND COMPUTERS IN SIMULATION. 2018. DOI: 10.1016/j.matcom.2018.03.005
  
  
• Montijano, E.; Montijano, J.I.; Sagues, C. Fast distributed algebraic connectivity estimation in large scale networks. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS. 2017. DOI: 10.1016/j.jfranklin.2017.05.021
  
  
• Elipe, A.; Montijano, J.I.; Rández, L.; Calvo, M. An analysis of the convergence of Newton iterations for solving elliptic Kepler’s equation. CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY. 2017. DOI: 10.1007/s10569-017-9785-5
  
  
• Brugnano, L.; Calvo, M.; Montijano, J.I.; Rández, L. Fourier methods for oscillatory differential problems with a constant high frequency. AIP CONFERENCE PROCEEDINGS. 2017. DOI: 10.1063/1.4992149
  
  
• Calvo, M.;Elipe, A.;Montijano, J. I.;Rández, L. Convergence of starters for solving Kepler’s equation via Smale’s a-test. CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY. 2016. DOI: 10.1007/s10569-016-9713-0
  
  
• Calvo, M.; Montijano, J. I.; Randez, L. Algorithm 968: Disode45: A matlab Runge-Kutta solver for piecewise smooth IVPs of Filippov type. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. 2016. DOI: 10.1145/2907054
  
  
• Calvo, Manuel; Laburta, María Pilar; Montijano, Juan Ignacio; Rández, Luis. Runge-Kutta projection methods with low dispersion and dissipation errors. ADVANCES IN COMPUTATIONAL MATHEMATICS. 2015. DOI: 10.1007/s10444-014-9355-2
  
  
• Montijano, J.I.; Rández, L.; Van Daele, M.; Calvo, M. Exponential fitting techniques for the solution of stiff problems with explicit methods. AIP CONFERENCE PROCEEDINGS. 2015. DOI: 10.1063/1.4912314
  
  
• Calvo, M.; Montijano, J. I.; Rández, L.; Van Daele, M. Exponentially fitted fifth-order two-step peer explicit methods. AIP CONFERENCE PROCEEDINGS. 2015. DOI: 10.1063/1.4912445
  
  
• Laburta, M.P.; Montijano, J.I.; Rández, L.; Calvo, M. Numerical methods for non conservative perturbations of conservative problems. COMPUTER PHYSICS COMMUNICATIONS. 2015. DOI: 10.1016/j.cpc.2014.10.012
  
  
• Montijano,E.; Montijano,J. I.; Sagues,C.; Martinez,S. Step size analysis in discrete-time dynamic average consensus. PROCEEDINGS OF THE AMERICAN CONTROL CONFERENCE. 2014. DOI: 10.1109/ACC.2014.6859239
  
  
• Montijano, J. I.; Rández, L.; Van Daele, M.; Calvo, M. Functionally Fitted Explicit Two Step Peer Methods. JOURNAL OF SCIENTIFIC COMPUTING. 2014. DOI: 10.1007/s10915-014-9951-9
  
  
• Montijano, Eduardo; Montijano, Juan Ignacio; Sagüés, Carlos; Martínez, Sonia. Robust discrete time dynamic average consensus. AUTOMATICA. 2014. DOI: 10.1016/j.automatica.2014.10.005
  
  
• Montijano, Eduardo; Montijano, Juan Ignacio; Sagüés, Carlos. Chebyshev polynomials in Distributed Consensus Applications. IEEE TRANSACTIONS ON SIGNAL PROCESSING. 2013. DOI: 10.1109/TSP.2012.2226173
  
  
• Calvo,M.;Elipe,A.;Montijano,J. I.;Randez,L. Optimal starters for solving the elliptic Kepler's equation. CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY. 2013. DOI: 10.1007/s10569-012-9456-5
  
  
• González-Pinto,S.;Hernández-Abreu,D.;Montijano,J. I. An efficient family of strongly A-stable Runge-Kutta collocation methods for stiff systems and DAEs. Part II: Convergence results. APPLIED NUMERICAL MATHEMATICS. 2012. DOI: 10.1016/j.apnum.2012.06.010
  
  
• Brugnano,L.;Calvo,M.;Montijano,J. I.;Rández,L. Energy-preserving methods for poisson systems. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2012. DOI: 10.1016/j.cam.2012.02.033
  
  
• Calvo,M.;Franco,J. M.;Montijano,J. I.;Rández,L. On some new low storage implementations of time advancing Runge-Kutta methods. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2012. DOI: 10.1016/j.cam.2011.07.004
  
  
• Calvo, M.;Montijano, J. I.;Rández, L. ;Van Daele, M. On the derivation of explicit two-step peer methods. APPLIED NUMERICAL MATHEMATICS. 2011. DOI: 10.1016/j.apnum.2010.11.004
  
  
• Calvo,M.;Laburta,M. P.;Montijano,J. I.;Rández,L. Error growth in the numerical integration of periodic orbits. MATHEMATICS AND COMPUTERS IN SIMULATION. 2011. DOI: 10.1016/j.matcom.2011.05.007
  
  
• Calvo, M.;Franco, J. M.;Montijano, J. I. ;Rández, L. Symmetric and symplectic exponentially fitted Runge-Kutta methods of high order. COMPUTER PHYSICS COMMUNICATIONS. 2010
  
  
• Calvo, M.;Franco, J. M.;Montijano, J. I. ;Rández, L. On high order symmetric and symplectic trigonometrically fitted Runge-Kutta methods with an even number of stages. BIT NUMERICAL MATHEMATICS. 2010
  
  
• Calvo, M.;Laburta, M. P.;Montijano, J. I. ;Rández, L. Projection methods preserving Lyapunov functions. BIT NUMERICAL MATHEMATICS. 2010
  
  
• Calvo, M.;Laburta, M. P.;Montijano, J. I. ;Rández, L. Approximate preservation of quadratic first integrals by explicit Runge-Kutta methods. ADVANCES IN COMPUTATIONAL MATHEMATICS. 2010
  
  
• González-Pinto, S.;Hernández-Abreu, D. ;Montijano, J. I. An efficient family of strongly A-stable Runge-Kutta collocation methods for stiff systems and DAEs. Part I: Stability and order results. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2010
  
  
• Calvo, M.; Franco, J.M.; Montijano, J.I.; Randez, L. Sixth-order symmetric and symplectic exponentially fitted Runge–Kutta methods of the Gauss type. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2009
  
  
• Calvo, M; Laburta, M.P.; Montijano, J.I.; Rández, L. On the Long Time Error of First Integrals for Some RK Numerical Integrators. JOURNAL OF NUMERICAL ANALYSIS, INDUSTRIAL AND APPLIED MATHEMATICS. 2009
  
  
• Calvo M.;Franco, J.M.;Montijano, J.I.; Randez, L. Sixth-order symmetric and symplectic exponentially fitted modified Runge-Kutta methods of Gauss type. COMPUTER PHYSICS COMMUNICATIONS. 2008
  
  
• Calvo, M.;Gonzalez-Pinto,S.;Montijano,J. I. Global Error Estimation Based on the Tolerance Proportionality for some Adaptive Runge-Kutta Codes. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS. 2008
  
  
• Calvo, M.;Montijano,J. I.;Randez,L. The Numerical Solution of Discontinuous IVPs by Runge-Kutta Codes: A Review. BOLETÍN DE LA SOCIEDAD ESPAÑOLA DE MATEMÁTICA APLICADA SEMA. 2008
  
  
• Calvo, M.; Franco, J. M.; Montijano, J. I.; Rández, L. Structure preservation of exponentially fitted Runge-Kutta methods. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2008
  
  
• Calvo, M.; González-Pinto, S.; Montijano, J. I. Global error estimation based on the tolerance proportionality for some adaptive Runge-Kutta codes. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2008
  
  
• Calvo, M.; Laburta, M.P.; Montijano, J.I.; Rández, L. A note on the error growth in the numerical integration of periodic orbits. PAMM. 2007
  
  
• Calvo, M.; Montijano, J. I.; Rández, L. On explicit multi-revolution Runge-Kutta schemes. ADVANCES IN COMPUTATIONAL MATHEMATICS. 2007
  
  
• Calvo, M.; Laburta, M.P.; Montijano, J.I. Initializers for RK—Gauss methods based on pseudo--symplecticity. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2006
  
  
• Calvo,M.;Hernandez-Abreu,D.;Montijano,J. I.;Randez,L. On the preservation of invariants by explicit Runge-Kutta methods. SIAM JOURNAL ON SCIENTIFIC COMPUTING. 2006
  
  
• Calvo, Manuel;Jay, Laurent O.;Montijano, Juan I.;Randez, Luis. Approximate compositions of a near identity map by multi-revolution Runge-Kutta methods. NUMERISCHE MATHEMATIK. 2004
  
  
• Gonzalez Pinto, S.;Montijano, J. I.;Perez Rodriguez, S. Two-Step Error Estimators for Implicit Runge-Kutta Methods Applied to Stiff Systems. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. 2004
  
  
• Gonzalez Pinto, S.;Montijano, J. I.;Perez Rodriguez, S. P. Stabilized Starting Algorithms for Collocation Runge-Kutta Methods. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 2003
  
  
• Calvo, M.;Laburta, M. P.;Montijano, J. I. Two-Step High Order Starting Values for Implicit Runge-Kutta Methods. ADVANCES IN COMPUTATIONAL MATHEMATICS. 2003
  
  
• Calvo, M.;Montijano, M.I.;Rández, L. Una familia de métodos multi-revolución Runge-Kutta explícitos de orden cinco. MEMORIAS DE LA ACADEMIA DE CIENCIAS EXACTAS, FÍSICO- QUÍMICAS Y NATURALES DE ZARAGOZA. 2003
  
  
• Calvo, M.;Montijano, J. I.;Randez, L. On the Solution of Discontinuous Ivps by Adaptive Runge-Kutta Codes. NUMERICAL ALGORITHMS. 2003
  
  
• Gonzalez Pinto, S.; Montijano, J. I.; Perez Rodriguez, S. Variable-Order Starting Algorithms for Implicit Runge-Kutta Methods on Stiff Problems. APPLIED NUMERICAL MATHEMATICS. 2003
  
  
• Calvo, M.;Laburta, M. P.;Montijano, J. I. Starting Algorithms for Gauss Runge-Kutta Methods for Hamiltonian Systems. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 2003
  
  
• Gonzalez-Pinto, S.; Perez-Rodriguez, S.; Montijano, J.I. Implementation of high-order implicit Runge-Kutta methods. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 2001
  
  
• Calvo, M.;Gonzalezpinto, S.;Montijano, J.I. Runge-Kutta Methods for the Numerical-Solution of Stiff Semilinear Systems. BIT NUMERICAL MATHEMATICS. 2000
  
  
• Calvo, M.; González-Pinto, S.; Montijano, J. I. On the iterative solution of the algebraic equations in fully implicit Runge-Kutta methods. NUMERICAL ALGORITHMS. 2000
  
  
• Calvo, M.;Laburta, M.P.;Montijano, J.I.;Randez, L. On the numerical integration of orthogonal flows with Runge-Kutta methods. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2000
  
  
• Gonzalez-Pinto, S.; Montijano, J.I.; Perez-Rodriguez, S. On the Starting Algorithms for Fully Implicit Runge-Kutta Methods. BIT NUMERICAL MATHEMATICS. 2000
  
  
• Calvo, M.;Montijano, J. I.;Gonzalez-Pinto, S. On the existence of solution of stage equations in implicit Runge-Kutta methods. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 1999
  
  
• Calvo, M.;Gonzalez-Pinto, S.;Montijano, J. I. On the convergence of Runge-Kutta methods for stiff non linear differential equations. NUMERISCHE MATHEMATIK. 1998
  
  
• González-Pinto, S.; Pérez-Rodriguez, S.; Montijano, J. I. On the numerical solution of stiff IVPs by Lobatto IIIA Runge-Kutta methods. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 1997
  
  
• Calvo, M.;Higham, D. J.;Montijano, J. I.;Randez, L. Stepsize selection for tolerance proportionality in explicit Runge-Kutta codes. ADVANCES IN COMPUTATIONAL MATHEMATICS. 1997
  
  
• Calvo, M.;Franco, J. M.;Montijano, J. I.;Randez, L. Explicit Runge-Kutta methods for initial value problems with oscillating solutions. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 1996
  
  
• Calvo, M.;Higham, D. J.;Montijano, J. I.;Randez, L. Global error estimation with adaptive explicit Runge-Kutta methods. IMA JOURNAL OF NUMERICAL ANALYSIS. 1996
  
  
• Gonzalez Pinto, S.;Montijano, J. I.;Randez, L. Improving the efficiency of the iterative schemes for implicit Runge-Kutta methods. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 1996
  
  
• Gonzalez Pinto, S.;Montijano, J. I.;Randez, L. Iterative Schemes for 3-Stage Implicit Runge-Kutta Methods. APPLIED NUMERICAL MATHEMATICS. 1995
  
  
• Gonzalez-Pinto, S.; Gonzalez-Concepcion, C.; Montijano, J. I. Iterative Schemes for Gauss Methods. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 1994
  
  
• Calvo, M.;Montijano, J. I.;Randez, L. A Polyvalent Runge-Kutta Triple. APPLIED NUMERICAL MATHEMATICS. 1994
  
  
• Calvo, M.; Montijano, J. I.; Rández, L. On the change of step size in multistep codes. NUMERICAL ALGORITHMS. 1993
  
  
• Calvo, M.;Montijano, J. I.;Randez, L. A0-Stability of Variable Stepsize Bdf Methods. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 1993
  
  
• Grande, T.; Montijano, J. I.; Rández, L. Implicit output by continuous Runge-Kutta methods. REVISTA DE LA ACADEMIA DE CIENCIAS EXACTAS, FÍSICO-QUÍMICAS Y NATURALES DE ZARAGOZA. 1991
  
  
• Calvo, M.;Montijano, J. I.;Randez, L. A New Embedded Pair of Runge-Kutta Formulas of Order-5 and Order-6. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 1990
  
  
• Calvo, M.;Montijano, J. I.;Randez, L. Nuevas extensiones continuas para fórmulas RK de quinto orden. REVISTA DE LA ACADEMIA DE CIENCIAS EXACTAS, FÍSICO-QUÍMICAS Y NATURALES DE ZARAGOZA. 1990
  
  
• Calvo, M.;Montijano, J. I.;Randez, L. A 5th-Order Interpolant for the Dormand and Prince Runge-Kutta Method. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 1990
  
  
• Calvo, M.;Lisbona, F.;Montijano, J. On the Stability of Interpolatory Variable-Stepsize Adams Methods in Nordsieck Form. SIAM JOURNAL ON NUMERICAL ANALYSIS. 1989
  
  
• Calvo, M.;Lisbona, F.;Montijano, J. On the Stability of Variable-Stepsize Nordsieck Bdf Methods. SIAM JOURNAL ON NUMERICAL ANALYSIS. 1987
  
  
• Martinez Martinez, P. A.;Montijano, J. I. Distorsión en amplificadores monoetapa con J.F.E.T. REVISTA DE INFORMÁTICA Y AUTOMÁTICA. 1982
  
  

Conference presentations

• Brugnano,L.;Calvo,M.;Montijano,J. I.;Rández,L. Recent advances on preserving methods for Poisson systems. AIP CONFERENCE PROCEEDINGS. 2011. DOI: 10.1063/1.3636709
  
  
• Elipe,A.;Montijano,J. I.;Rández,L.;Calvo,M. The exact attitude of a triaxial free rigid body revisited. ADVANCES IN THE ASTRONAUTICAL SCIENCES. 2011
  
  
• Montijano,E.;Montijano,J. I.;Sagues,C. Fast distributed consensus with Chebyshev polynomials. PROCEEDINGS OF THE AMERICAN CONTROL CONFERENCE. 2011
  
  
• Montijano,E.;Montijano,J. I.;Sagues,C. Adaptive consensus and algebraic connectivity estimation in sensor networks with Chebyshev polynomials. PROCEEDINGS OF THE IEEE CONFERENCE ON DECISION & CONTROL, INCLUDING THE SYMPOSIUM ON ADAPTIVE PROCESSES. 2011. DOI: 10.1109/CDC.2011.6161077
  
  
• Calvo, M.;Laburta,M. P.;Montijano,J. I.;Randez,L. On the Preservation of Lyapunov Functions by Runge-Kutta Methods. AIP CONFERENCE PROCEEDINGS. 2009
  
  
• Calvo, M.;Franco,J. M.;Montijano,J. I.;Randez,L. Optimization of Spatial and Minimum Storage RK Schemes for Computational Acoustics. AIP CONFERENCE PROCEEDINGS. 2009
  
  
• Calvo, M.;Laburta,P.;Montijano,J. I.;Randez,L. On the Long Time Error of First Integrals of some Numerical Integrators. AIP CONFERENCE PROCEEDINGS. 2008
  
  

Books

• M. Calvo, J. I. Montijano, L. Rández. Curso de analisis numérico. Métodos de Runge-Kutta para la resolución numérica de ecuaciones diferenciales ordinarias. 1997
  
  
• M. Calvo, J. I. Montijano, L. Rández. Curso de analisis numérico. Métodos lineales multipaso para la resolución numérica de ecuaciones diferenciales ordinarias. 1997
  
  
• Juan Ignacio Montijano Torcal. Fortran 77. 1985
  
  
• M. Calvo, J. I. Montijano. Métodos lineales multipaso para la resolución numérica de ecuaciones diferenciales ordinarias. 1985
  
  
• Juan Ignacio Montijano Torcal. Fortran 77. 1984
  
  

Projects

• PID2022-141385NB-I00: Avances en métodos de integración temporal para problemas diferenciales. Aplicaciones a biología, energía y finanzas. 01/09/23 - 31/08/26
  
  
• E41_23R: Análisis Numérico, Optimización y Aplicaciones. 01/01/23 - 31/12/25
  
  
• PID2019-109045GB-C31: problemas altamente oscilatorios, preservación de la estructura y aplicaciones a la astrodinámica y modelización en oncología. 01/06/20 - 29/02/24
  
  
• E41_20R: Análisis Numérico, Optimización Y Aplicaciones. 01/01/20 - 31/12/22
  
  
• GRUPO DE REFERENCIA ANÁLISIS NUMÉRICO, OPTIMIZACIÓN Y APLICACIONES. 01/01/17 - 31/12/19
  
  
• MTM2016-77735-C3-1-P: COORDINADOR: INTEGRADORES TEMPORALES EFICIENTES PARA PROBLEMAS DIFERENCIALES CON PROPIEDADES ESPECIALES. PROBLEMAS CON PROPIEDADES CUALITATIVAS, OSCILATORIOS Y DISCONTINUOS. 30/12/16 - 29/12/20
  
  
• GRUPO CONSOLIDADO E65 ANÁLISIS NUMÉRICO Y APLICACIONES. 01/01/16 - 31/12/16
  
  
• GRUPO CONSOLIDADO E65 ANÁLISIS NUMÉRICO Y APLICACIONES. 01/01/15 - 31/12/15
  
  
• FCT-14-8712. ACTIVIDADES DE DIVULGACIÓN CIENTÍFICA 2014 UCC+i (UNIVERSIDAD DE ZARAGOZA). 01/10/14 - 30/10/15
  
  
• GRUPO CONSOLIDADO E65 ANÁLISIS NUMÉRICO Y APLICACIONES. 01/01/14 - 31/12/14
  
  
• MTM2013-47318-C2-1-P: NUEVOS ALGORITMOS NUMÉRICOS PARA LA INTEGRACIÓN EN TIEMPO DE ECUACIONES DIFERENCIALES. MÉTODOS PEER Y RUNGE-KUTTA DE BAJA MEMORIA. 01/01/14 - 31/12/17
  
  
• FCT-13-7415: ACTIVIDADES DE DIVULGACIÓN CIENTÍFICA 2013-UCC+i DE LA UZ. 01/09/13 - 31/08/14
  
  
• GRUPO CONSOLIDADO E65 ANÁLISIS NUMÉRICO Y APLICACIONES. 01/01/13 - 31/12/13
  
  
• CTPR04/10. PROBLEMAS MATEMATICOS EN LA EXPLOTACION DE RECURSOS NATURALES Y ANALISIS DEL IMPACTO ECOLÓGICO. 01/01/11 - 31/12/12
  
  
• GRUPO CONSOLIDADO E65 ANALISIS NUMERICO Y APLICACIONES. 01/01/11 - 31/12/12
  
  
• MTM2010-21630-C02-01.NUEVOS INTEGRADORES NUMERICOS PARA LA RESOLUCION DE SISTEMAS DIFERENCIALES.MÉTODOS PEER Y PROBLEMAS DE AERO-ACÚSTICA COMPUTACIONAL. 01/01/11 - 30/11/14
  
  
• CTPR03/2007. VISIÓN MATEMÁTICA DE LA EVOLUCIÓN DE LOS RECURSOS NATURALES (ANÁLISIS Y SIMULACIÓN). 01/01/08 - 31/12/09
  
  
• GRUPO EXCELENTE E65 ANÁLISIS NUMÉRICO Y APLICACIONES. 01/01/08 - 31/12/10
  
  
• MTM2007-67530-C02-01 INTEGRADORES NUMÉRICOS CONSEVATIVOS PARA SISTEMAS DIFERENCIALES. CONSERVACIÓN DE ESTRUCTURAS Y PROBLEMAS OSCILATORIOS. 01/10/07 - 31/03/11
  
  
• MTM2005-24566-E.MEJORA DE LOS MEDIOS DE INFORMACIÓN Y DIVULGACIÓN DE LA SOCIEDAD ESPAÑOLA DE MATEMATICA APLICADA. 20/04/06 - 19/04/08
  
  
• GRUPO EXCELENTE E65 ANALISIS NUMERICO Y APLICACIONES. 01/01/05 - 31/12/07
  
  
• MTM2004-06466-C02-01. MÉTODOS NUMÉRICOS PARA ALGUNOS TIPOS DE ECUACIONES DIFERENCIALES. INTEGRACIÓN GEOMÉTRICA. 13/12/04 - 12/12/07
  
  
• NUEVAS TECNOLOGIAS 2003. A1. 01/04/03 - 31/12/03
  
  
• GRUPO CONSOLIDADO E09 RESOLUCION NUMERICA DE ECUACIONES FUNCIONALES. 01/01/03 - 31/12/04
  
  
• BFM2001-2562. INTEGRADORES NUMERICOS PARA TIPOS ESPECIALES DE ECUACIONES DIFERENCIALES. 28/12/01 - 27/12/04
  
  
• DOTACION ADICIONAL 2001. BFM2001-3195-C02-02. 28/12/01 - 27/12/04
  
  
• PB97/1018.METODOS DE RUNGE-KUTTA PARA NUEVOS TIPOS DE PROBLEMAS DE VALOR INICIAL. 01/10/98 - 01/10/01
  
  
• P21/97. ANALISIS DE METODOS RUNGE-KUTTA Y DESARROLLO DE SOFTWARE PARA PROBLEMAS "STIFF". 26/02/98 - 26/02/01
  
  
• IN95-0212.SERVIDOR DE INFORMACION PARA EL ACCESO A BASES DE DATOS EN FORMATO CD-ROM. 30/12/96 - 31/12/96
  
  

PhD supervision

• INTEGRACIÓN DE PROBLEMAS STIFF A TRAVÉS DE MÉTODOS RUNGE-KUTTA. Universidad de La Laguna. Sobresaliente. 01/06/00
  
  
• INICIALIZADORES PARA LAS ECUACIONES IMPLÍCITAS DE LOS MÉTODOS RUNGE-KUTTA PARA SISTEMAS HAMILTONIANOS. Universidad de Zaragoza. Sobresaliente. 01/07/96
  
  

Supervision of undergraduate dissertations

• Estudio de técnicas de discretización en problemas de consenso distribuido. Universidad de Zaragoza. Notable. 01/10/18
  
  

Participation in conferences

• 2013 International Conference on Scientific Computation And Differential Equations. SCICADE2013. Participativo - Ponencia invitada/ Keynote. Numerical methods with LaTeX. Valladolid. 16/09/13
  
  
• 2013 International Conference on Scientific Computation And Differential Equations. SCICADE2013. Participativo - Ponencia invitada/ Keynote. Runge-Kutta methods for the numerical solution of discontinuous systems of Filippov's type. Valladolid. 16/09/13
  
  
• XXIII Congreso de Ecuaciones Diferenciales y Aplicaciones, XIII Congreso de Matemática Aplicada. Participativo - Otros. Organización de la sesión especial "“Métodos numéricos para la integración temporal de problemas diferenciales"”. Castellón. 09/09/13
  
  
• 4TH Workshop Stability and Discretization Issues in Differential Equations. SDIDE2013. Participativo - Ponencia oral (comunicación oral). Conservative methods for non conservative problems. Pamplona. 16/04/13
  
  
• Congreso de la RSME 2013. Organizativo - Comité científico y organizador. Miembro del comité científico. Santiago de Compostela. 21/01/13
  
  
• 50th IEEE Conference on Decision and Control. Participativo - Ponencia oral (comunicación oral). Adaptive Consensus and Algebraic Connectivity Estimation in Sensor Networks with Chebyshev Polynomials. Orlando. 12/12/11
  
  
• 9th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2011). Participativo - Ponencia invitada/ Keynote. Recent Advances on Preserving Methods for Poisson Systems. Halkidiki. 19/09/11
  
  
• 2011 American Control Conference. Participativo - Ponencia oral (comunicación oral). Fast Distributed Consensus with Chebyshev Polynomials. San Francisco. 29/06/11
  
  
• 7th International Conference of Numerical Analysis and Applied Mathematics 2009 (ICNAAM 2009). Participativo - Ponencia oral (comunicación oral). On the preservation of Lyapunov functions by Runge-Kutta methods. Rethymno, Crete. 18/09/09
  
  
• Ddays 2008. 4ª reunión de la red temática DANCE (Dinámica, Atractores y No Linealidad. Caos y Estabilidad). Participativo - Ponencia oral (comunicación oral). Comportamiento de algunos integradores numéricos en largos intervalos de tiempo. El Escorial (Madrid). 22/10/08
  
  
• Sixth (6th) International Conference on Numerical Analysis and Applied Mathematics 2008 (ICNAAM 2008). Participativo - Ponencia oral (comunicación oral). On the long time error of first integrals of some numerical integrators. Psalidi, Kos. 16/09/08
  
  
• X INTERNATIONAL CONFERENCE ZARAGOZA-PAU ON APPLIED MATHEMATICS AND STATISTICS Participativo - Ponencia oral (comunicación oral). Error growth in the numerical integration of periodic orbits with projection methods. Jaca. 15/09/08
  
  
• I Congreso Hispano-Francés de Matemáticas. Participativo - Póster. On the error growth in the numerical integration of periodic orbits with projection methods. Zaragoza. 09/09/07
  
  
• 6th International Congress on Industrial and Applied Mathematics (ICIAM 2007). Participativo - Ponencia oral (comunicación oral). A note on the error growth in the numerical integration of periodic orbits. Zürich. 16/07/07
  
  
• XIX CEDYA / IX Congreso de Matemática Aplicada. Participativo - Ponencia oral (comunicación oral). Approximate preservation of quadratic invariants by explicit Runge-Kutta methods. Leganés (Madrid). 19/09/05
  
  
• International Congress on Computational and Applied Mathematics (ICCAM 2004). Participativo - Ponencia oral (comunicación oral). Initializers for RK-Gauss methods based on pseudo-symplecticness. Lovaina. 26/07/04
  
  
• VI Journées Zaragoza-Pau de Mathématiques Appliquées et de Statistiques. Participativo - Ponencia oral (comunicación oral). Métodos ortogonales de tipo Runge-Kutta. Jaca. 16/09/99
  
  
• International Congress on Computational and Applied Mathematics (ICCAM 98). Participativo - Ponencia oral (comunicación oral). On the numerical integration of orthogonal flows with Runge-Kutta methods. Lovaina. 27/07/98
  
  
• XV CEDYA (Congreso de Ecuaciones Diferenciales y Aplicaciones) / V CMA (Congreso de Matemática Aplicada) Participativo - Ponencia oral (comunicación oral). Sobre la solución numérica de flujos unitarios por métodos Runge-Kutta. Vigo. 23/09/97
  
  

Other merits

• DISODE45: Matlab software para la resolución de problemas diferenciales con discontinuidades. Paquete de software con licencia de software libre dedicado a la resolución por ordenador de problemas diferenciales con discontinuidades. Este paquete está depositado en el repositorio Collected algorithms (CALGO) de la Association for computer machinery (ACM), como Algorithm 968, y es accesible en la dirección http://netlib.org/toms/ El contenido y desarrollo del software está publicado en el artículo DISODE45: a Matlab Runge-Kutta solver for piecewise smooth IVPs of Filippov type. ACM Trans. Math. Software 43 (2017), no. 3, Art. 25, 14 pp. 23/02/15
  
  
• tdclock: Paquete LaTeX para la inserción en un documento pdf de un reloj digital. Paquete de software con licencia de software libre dedicado a la inserción, en documentos pdf de un reloj digital que muestra de forma interactiva la hora, un cronómetro, el tiempo restante en una exposición en una charla, etc. Este paquete está depositado en el repositorio Comprehensive TEX Archive Network (CTAN) del Tex Users Group (TUG). y es accesible en la dirección https://ctan.org/ 21/02/14
  
  

UNIZAR teaching of the last six courses

• Mathematics. Degree in Geology. During academic year 2024-25
  
  
• Mathematics. Degree in Chemistry. During academic year 2024-25
  
  
• Numerical analysis I. From the 2020-21 course to the 2024-25 course
  
  
• Numerical analysis I. Degree in Mathematics. From the 2019-20 course to the 2024-25 course
  
  
• Numerical analysis I. Joint Program in Physics and Mathematics. From the 2019-20 course to the 2024-25 course