Juan Carlos Cortés

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 56

Top Topics

Differential Equations

Mathematical Modeling

Top Venues

J. Comput. Appl. Math.

Commun. Nonlinear Sci. Numer. Simul.

Appl. Math. Comput.

Comput. Math. Methods

Publications

Francisco Rodríguez, Fatima Zohra Lachachi, Ikram Medjahdi, María Ángeles Castro, Juan Carlos Cortés
A note on the application of the RVT method to general classes of single-species population models formulated by random differential equations. Comput. Appl. Math. 43 (5) (2024)
Vicente-José Bevia, Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet-Sanz
On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data. Commun. Nonlinear Sci. Numer. Simul. 116 (2023)
Clara Burgos, Tomás Caraballo, Juan Carlos Cortés, Laura Villafuerte, Rafael-Jacinto Villanueva
Constructing reliable approximations of the random fractional Hermite equation: solution, moments and density. Comput. Appl. Math. 42 (3) (2023)
Vicente-José Bevia, Juan Carlos Cortés, Marc Jornet, Rafael J. Villanueva
Probabilistic analysis of a general class of nonlinear random differential equations with state-dependent impulsive terms via probability density functions. Commun. Nonlinear Sci. Numer. Simul. 119 (2023)
Vicente-José Bevia, Julia Calatayud Gregori, Juan Carlos Cortés
Probabilistic analysis of a class of 2D-random heat equations via densities. Appl. Math. Lett. 146 (2023)
Juan Carlos Cortés, Elena López-Navarro, José Vicente Romero, María Dolores Roselló
Probabilistic analysis of a cantilever beam subjected to random loads via probability density functions. Comput. Appl. Math. 42 (1) (2023)
Carlos Andreu-Vilarroig, Josu Ceberio, Juan Carlos Cortés, Francisco Fernández de Vega, José Ignacio Hidalgo, Rafael-Jacinto Villanueva
Evolutionary approach to model calibration with uncertainty: an application to breast cancer growth model. GECCO Companion (2022)
Clara Burgos, Juan Carlos Cortés, L. Villafuerte, Rafael J. Villanueva
Solving random fractional second-order linear equations via the mean square Laplace transform: Theory and statistical computing. Appl. Math. Comput. 418 (2022)
Josu Ceberio, Juan Carlos Cortés, Francisco Fernández de Vega, Oscar Garnica, José Ignacio Hidalgo, J. Manuel Velasco, Rafael-Jacinto Villanueva
Approaching epistemic and aleatoric uncertainty with evolutionary optimization: examples and challenges. GECCO Companion (2022)
Vicente-José Bevia, Carlos Andreu-Vilarroig, Juan Carlos Cortés, Rafael-Jacinto Villanueva
Probability density function computation in evolutionary model calibration with uncertainty. GECCO Companion (2022)
Juan Carlos Cortés, Sandra E. Delgadillo-Aleman, Roberto A. Ku-Carrillo, Rafael J. Villanueva
Probabilistic analysis of a class of impulsive linear random differential equations via density functions. Appl. Math. Lett. 121 (2021)
Juan Carlos Cortés, Ana Navarro-Quiles, José Vicente Romero, María Dolores Roselló
Introducing randomness in the analysis of chemical reactions: An analysis based on random differential equations and probability density functions. Comput. Math. Methods 3 (6) (2021)
Juan Carlos Cortés, Ana Navarro-Quiles, José Vicente Romero, María Dolores Roselló
Solving fully randomized higher-order linear control differential equations: Application to study the dynamics of an oscillator. Comput. Math. Methods 3 (6) (2021)
Juan Carlos Cortés, A. Navarro-Quiles, José Vicente Romero, María Dolores Roselló
Some results about randomized binary Markov chains: theory, computing and applications. Int. J. Comput. Math. 97 (1-2) (2020)
Juan Carlos Cortés, A. Navarro-Quiles, José Vicente Romero, María Dolores Roselló, Enrique Zuazua
Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions. J. Frankl. Inst. 357 (12) (2020)
Julia Calatayud Gregori, Juan Carlos Cortés, Fábio Antonio Dorini, Marc Jornet-Sanz
On a stochastic logistic population model with time-varying carrying capacity. Comput. Appl. Math. 39 (4) (2020)
Julia Calatayud Gregori, Juan Carlos Cortés, Fábio Antonio Dorini, Marc Jornet
Extending the study on the linear advection equation subject to stochastic velocity field and initial condition. Math. Comput. Simul. 172 (2020)
Clara Burgos, Juan Carlos Cortés, L. Villafuerte, Rafael J. Villanueva
Mean square convergent numerical solutions of random fractional differential equations: Approximations of moments and density. J. Comput. Appl. Math. 378 (2020)
Andrés González-Zumba, Pedro Fernández de Córdoba, Juan Carlos Cortés, Volker Mehrmann
Stability Assessment of Stochastic Differential-Algebraic Systems via Lyapunov Exponents with an Application to Power Systems. CoRR (2020)
Marc Jornet, Julia Calatayud Gregori, Olivier P. Le Maître, Juan Carlos Cortés
Second order linear differential equations with analytic uncertainties: Stochastic analysis via the computation of the probability density function. J. Comput. Appl. Math. 374 (2020)
Clara Burgos, Juan Carlos Cortés, Iván-Camilo Lombana, David Martínez Rodríguez, Rafael J. Villanueva
Modeling the Dynamics of the Frequent Users of Electronic Commerce in Spain Using Optimization Techniques for Inverse Problems with Uncertainty. J. Optim. Theory Appl. 182 (2) (2019)
Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet
Uncertainty quantification for nonlinear difference equations with dependent random inputs via a stochastic Galerkin projection technique. Commun. Nonlinear Sci. Numer. Simul. 72 (2019)
Marc Jornet, Julia Calatayud Gregori, Olivier P. Le Maître, Juan Carlos Cortés
Second order linear differential equations with analytic uncertainties: stochastic analysis via the computation of the probability density function. CoRR (2019)
Clara Burgos, Juan Carlos Cortés, David Martínez Rodríguez, Rafael-Jacinto Villanueva
Computational Modeling with uncertainty of Frequent Users of E-Commerce in Spain using an Age-Group Dynamic nonlinear Model with varying Size Population. Adv. Complex Syst. 22 (4) (2019)
Tomás Caraballo, Juan Carlos Cortés, A. Navarro-Quiles
Applying the random variable transformation method to solve a class of random linear differential equation with discrete delay. Appl. Math. Comput. 356 (2019)
Juan Carlos Cortés, José Vicente Romero, María Dolores Roselló, M. A. Sohaly
Solving random boundary heat model using the finite difference method under mean square convergence. Comput. Math. Methods 1 (3) (2019)
Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet
On the Legendre differential equation with uncertainties at the regular-singular point 1: Lp(Ω) random power series solution and approximation of its statistical moments. Comput. Math. Methods 1 (4) (2019)
Rafael J. Villanueva, José Ignacio Hidalgo, Carlos Cervigón, Javier Villanueva-Oller, Juan Carlos Cortés
Calibration of an agent-based simulation model to the data of women infected by Human Papillomavirus with uncertainty. Appl. Soft Comput. 80 (2019)
Juan Carlos Cortés, A. Navarro-Quiles, José Vicente Romero, María Dolores Roselló
Analysis of random non-autonomous logistic-type differential equations via the Karhunen-Loève expansion and the Random Variable Transformation technique. Commun. Nonlinear Sci. Numer. Simul. 72 (2019)
Julia Calatayud Gregori, Benito M. Chen-Charpentier, Juan Carlos Cortés, Marc Jornet-Sanz
Combining Polynomial Chaos Expansions and the Random Variable Transformation Technique to Approximate the Density Function of Stochastic Problems, Including Some Epidemiological Models. Symmetry 11 (1) (2019)
Juan Carlos Cortés, A. Navarro-Quiles, José Vicente Romero, María Dolores Roselló
A probabilistic analysis of a Beverton-Holt-type discrete model: Theoretical and computing analysis. Comput. Math. Methods 1 (1) (2019)
Clara Burgos, Juan Carlos Cortés, Amar Debbouche, Laura Villafuerte, Rafael J. Villanueva
Random fractional generalized Airy differential equations: A probabilistic analysis using mean square calculus. Appl. Math. Comput. 352 (2019)
Luis Acedo, Marta Botella, Juan Carlos Cortés, José Ignacio Hidalgo, Esther Maqueda, Rafael Jacinto Villanueva Micó
Swarm hybrid optimization for a piecewise model fitting applied to a glucose model. J. Syst. Inf. Technol. 20 (4) (2018)
Juan Carlos Cortés, A. Navarro-Quiles, José Vicente Romero, María Dolores Roselló
Computing the probability density function of non-autonomous first-order linear homogeneous differential equations with uncertainty. J. Comput. Appl. Math. 337 (2018)
Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet-Sanz
Improving the approximation of the first and second order statistics of the response process to the random Legendre differential equation. CoRR (2018)
Juan Carlos Cortés, A. Navarro-Quiles, José Vicente Romero, María Dolores Roselló, M. A. Sohaly
Solving the random Cauchy one-dimensional advection-diffusion equation: Numerical analysis and computing. J. Comput. Appl. Math. 330 (2018)
Juan Alegre-Sanahuja, Juan Carlos Cortés, Rafael-Jacinto Villanueva, Francisco-José Santonja
Predicting mobile apps spread: An epidemiological random network modeling approach. Simul. 94 (2) (2018)
Clara Burgos, Juan Carlos Cortés, Leonid E. Shaikhet, Rafael-Jacinto Villanueva
A nonlinear dynamic age-structured model of e-commerce in spain: Stability analysis of the equilibrium by delay and stochastic perturbations. Commun. Nonlinear Sci. Numer. Simul. 64 (2018)
Maria-Consuelo Casabán, Juan Carlos Cortés, Lucas Jódar
Analytic-Numerical Solution of Random Parabolic Models: A Mean Square Fourier Transform Approach. Math. Model. Anal. 23 (1) (2018)
Juan Carlos Cortés, A. Navarro-Quiles, José Vicente Romero, María Dolores Roselló
Solving second-order linear differential equations with random analytic coefficients about ordinary points: A full probabilistic solution by the first probability density function. Appl. Math. Comput. 331 (2018)
Clara Burgos, Juan Carlos Cortés, Laura Villafuerte, Rafael J. Villanueva
Solving random mean square fractional linear differential equations by generalized power series: Analysis and computing. J. Comput. Appl. Math. 339 (2018)
M. Consuelo Casabán, Juan Carlos Cortés, Lucas Jódar
Solving linear and quadratic random matrix differential equations using: A mean square approach. The non-autonomous case. J. Comput. Appl. Math. 330 (2018)
Clara Burgos, Julia Calatayud Gregori, Juan Carlos Cortés, L. Villafuerte
Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series. Appl. Math. Lett. 78 (2018)
Lucas Jódar, Juan R. Torregrosa, Juan Carlos Cortés, Regino Criado
Mathematical modeling and computational methods. J. Comput. Appl. Math. 330 (2018)
Carlos A. Braumann, Juan Carlos Cortés, Lucas Jódar, L. Villafuerte
On the random gamma function: Theory and computing. J. Comput. Appl. Math. 335 (2018)
M. Consuelo Casabán, Juan Carlos Cortés, A. Navarro-Quiles, José Vicente Romero, María Dolores Roselló, Rafael J. Villanueva
Computing probabilistic solutions of the Bernoulli random differential equation. J. Comput. Appl. Math. 309 (2017)
Juan Carlos Cortés, A. Navarro-Quiles, José Vicente Romero, María Dolores Roselló
Full solution of random autonomous first-order linear systems of difference equations. Application to construct random phase portrait for planar systems. Appl. Math. Lett. 68 (2017)
Luis Acedo, Clara Burgos, Juan Carlos Cortés, Rafael J. Villanueva
Uncertainty Quantification for Meningococcus B Carriers Prediction. IWBBIO (2) (2017)
Juan Carlos Cortés, Lucas Jódar Sánchez, L. Villafuerte
Mean square solution of Bessel differential equation with uncertainties. J. Comput. Appl. Math. 309 (2017)
Juan Carlos Cortés, A. Navarro-Quiles, José Vicente Romero, María Dolores Roselló
Randomizing the parameters of a Markov chain to model the stroke disease: A technical generalization of established computational methodologies towards improving real applications. J. Comput. Appl. Math. 324 (2017)
Juan R. Torregrosa, Lucas Jódar, Juan Carlos Cortés, Regino Criado
Mathematical Modeling and Computational Methods. J. Comput. Appl. Math. 309 (2017)
Juan Carlos Cortés, José Vicente Romero, María Dolores Roselló, Rafael-Jacinto Villanueva
Improving adaptive generalized polynomial chaos method to solve nonlinear random differential equations by the random variable transformation technique. Commun. Nonlinear Sci. Numer. Simul. 50 (2017)
M. Consuelo Casabán, Juan Carlos Cortés, A. Navarro-Quiles, José Vicente Romero, María Dolores Roselló, Rafael-Jacinto Villanueva
A comprehensive probabilistic solution of random SIS-type epidemiological models using the random variable transformation technique. Commun. Nonlinear Sci. Numer. Simul. 32 (2016)
M. Consuelo Casabán, Juan Carlos Cortés, A. Navarro-Quiles, José Vicente Romero, M. D. Roselló, Rafael J. Villanueva
Probabilistic solution of the homogeneous Riccati differential equation: A case-study by using linearization and transformation techniques. J. Comput. Appl. Math. 291 (2016)
Juan R. Torregrosa, Lucas Jódar, Juan Carlos Cortés, Regino Criado
Mathematical modeling and computational methods. J. Comput. Appl. Math. 291 (2016)
M. Consuelo Casabán, Juan Carlos Cortés, Lucas Jódar
Solving random mixed heat problems: A random integral transform approach. J. Comput. Appl. Math. 291 (2016)
M. Consuelo Casabán, Juan Carlos Cortés, José Vicente Romero, María Dolores Roselló
Probabilistic solution of random SI-type epidemiological models using the Random Variable Transformation technique. Commun. Nonlinear Sci. Numer. Simul. 24 (Issues) (2015)
Juan Carlos Cortés, Francisco-José Santonja, Ana C. Tarazona, Rafael J. Villanueva, Javier Villanueva-Oller
A probabilistic estimation and prediction technique for dynamic continuous social science models: The evolution of the attitude of the Basque Country population towards ETA as a case study. Appl. Math. Comput. 264 (2015)
Benito M. Chen-Charpentier, Juan Carlos Cortés, J. A. Licea, José Vicente Romero, María Dolores Roselló, Francisco-José Santonja, Rafael J. Villanueva
Constructing adaptive generalized polynomial chaos method to measure the uncertainty in continuous models: A computational approach. Math. Comput. Simul. 109 (2015)
M. Consuelo Casabán, Juan Carlos Cortés, Lucas Jódar
A random Laplace transform method for solving random mixed parabolic differential problems. Appl. Math. Comput. 259 (2015)
M. Consuelo Casabán, Juan Carlos Cortés, José Vicente Romero, María Dolores Roselló
Probabilistic solution of random homogeneous linear second-order difference equations. Appl. Math. Lett. 34 (2014)
Juan Carlos Cortés, Francisco-José Santonja, Ana C. Tarazona, Rafael J. Villanueva, Javier Villanueva-Oller
A probabilistic estimation and prediction technique for dynamic continuous social science models: The evolution of the attitude of the Basque Country population towards ETA as a case study. CoRR (2014)
Benito M. Chen-Charpentier, Juan Carlos Cortés, José Vicente Romero, María Dolores Roselló
Do the generalized polynomial chaos and Fröbenius methods retain the statistical moments of random differential equations? Appl. Math. Lett. 26 (5) (2013)
Lucas Jódar, Elena De la Poza, Juan Carlos Cortés, Luis Acedo
Corrigendum to "Preface: The challenge of modelling aggregated human behaviour" [Math. Comput. Modelling 57 (2013) 1617-1618]. Math. Comput. Model. 57 (9-10) (2013)
Lucas Jódar, Juan Carlos Cortés, Luis Acedo
The challenge of modelling aggregated human behaviour. Math. Comput. Model. 57 (7-8) (2013)
Juan Carlos Cortés, Lucas Jódar, María Dolores Roselló, L. Villafuerte
Solving initial and two-point boundary value linear random differential equations: A mean square approach. Appl. Math. Comput. 219 (4) (2012)
Lucas Jódar, Juan Carlos Cortés, Laura Villafuerte
Random mixed hyperbolic models: Numerical analysis and computing. Math. Comput. Simul. 82 (10) (2012)
Juan Carlos Cortés, Lucas Jódar, L. Villafuerte, Rafael Company
Numerical solution of random differential models. Math. Comput. Model. 54 (7-8) (2011)
Gema Calbo, Juan Carlos Cortés, Lucas Jódar, Laura Villafuerte
Solving the random Legendre differential equation: Mean square power series solution and its statistical functions. Comput. Math. Appl. 61 (9) (2011)
Lucas Jódar, Juan Carlos Cortés, Luis Acedo
Towards the mathematical modelling of human behaviour. Math. Comput. Model. 54 (7-8) (2011)
Lucas Jódar, Luis Acedo, Juan Carlos Cortés
Mathematical models in medicine, business and engineering 2009: Why applied mathematicians should interact with others and open ways and practices. Math. Comput. Model. 52 (7-8) (2010)
Lucas Jódar, Luis Acedo, Juan Carlos Cortés
Corrigendum to "Special issue: Mathematical models in medicine, business & engineering 2009" [Math. Comput. Modelling 52 (7-8) (2010)]. Math. Comput. Model. 52 (7-8) (2010)
Juan Carlos Cortés, Lucas Jódar, Francisco Camacho, Laura Villafuerte
Random Airy type differential equations: Mean square exact and numerical solutions. Comput. Math. Appl. 60 (5) (2010)
Abraham J. Arenas, José Antonio Moraño, Juan Carlos Cortés
Non-standard numerical method for a mathematical model of RSV epidemiological transmission. Comput. Math. Appl. 56 (3) (2008)
Gema Calbo, Juan Carlos Cortés, Lucas Jódar
Random analytic solution of coupled differential models with uncertain initial condition and source term. Comput. Math. Appl. 56 (3) (2008)
Juan Carlos Cortés, Lucas Jódar, Laura Villafuerte
Numerical solution of random differential equations: A mean square approach. Math. Comput. Model. 45 (7-8) (2007)
Juan Carlos Cortés, Lucas Jódar, L. Villafuerte
Mean square numerical solution of random differential equations: Facts and possibilities. Comput. Math. Appl. 53 (7) (2007)