Juan Carlos Cortés

79 papers Journal 75Unranked 4

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	A random mathematical model to describe the antibiotic resistance depending on the antibiotic consumption: the Int. J. Comput. Math. Juan A. Aledo, Carlos Andreu-Vilarroig, Juan Carlos Cortés, Juan C. Orengo, Rafael-Jacinto Villanueva
2024	J	`jnl`	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. Francisco Rodríguez, Fatima Zohra Lachachi, Ikram Medjahdi, María Ángeles Castro, Juan Carlos Cortés
2024	J	`jnl`	Novel methodological and computational techniques for uncertainty quantification in diabetes short-term management models using real data. Int. J. Comput. Math. Clara Burgos Simón, Juan Carlos Cortés, José Ignacio Hidalgo, Rafael J. Villanueva
2023	J	`jnl`	Constructing reliable approximations of the random fractional Hermite equation: solution, moments and density. Comput. Appl. Math. Clara Burgos, Tomás Caraballo, Juan Carlos Cortés, Laura Villafuerte, Rafael-Jacinto Villanueva
2023	J	`jnl`	On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data. Commun. Nonlinear Sci. Numer. Simul. Vicente-José Bevia, Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet-Sanz
2023	J	`jnl`	Probabilistic analysis of a cantilever beam subjected to random loads via probability density functions. Comput. Appl. Math. Juan Carlos Cortés, Elena López-Navarro, José Vicente Romero, María Dolores Roselló
2023	J	`jnl`	Probabilistic analysis of a class of 2D-random heat equations via densities. Appl. Math. Lett. Vicente-José Bevia, Julia Calatayud Gregori, Juan Carlos Cortés
2023	J	`jnl`	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. Vicente-José Bevia, Juan Carlos Cortés, Marc Jornet, Rafael J. Villanueva
2022	—	`conf`	Approaching epistemic and aleatoric uncertainty with evolutionary optimization: examples and challenges. GECCO Companion Josu Ceberio, Juan Carlos Cortés, Francisco Fernández de Vega, Oscar Garnica, José Ignacio Hidalgo, J. Manuel Velasco, Rafael-Jacinto Villanueva
2022	—	`conf`	Evolutionary approach to model calibration with uncertainty: an application to breast cancer growth model. GECCO Companion Carlos Andreu-Vilarroig, Josu Ceberio, Juan Carlos Cortés, Francisco Fernández de Vega, José Ignacio Hidalgo, Rafael-Jacinto Villanueva
2022	—	`conf`	Probability density function computation in evolutionary model calibration with uncertainty. GECCO Companion Vicente-José Bevia, Carlos Andreu-Vilarroig, Juan Carlos Cortés, Rafael-Jacinto Villanueva
2022	J	`jnl`	Solving random fractional second-order linear equations via the mean square Laplace transform: Theory and statistical computing. Appl. Math. Comput. Clara Burgos, Juan Carlos Cortés, L. Villafuerte, Rafael J. Villanueva
2021	J	`jnl`	Introducing randomness in the analysis of chemical reactions: An analysis based on random differential equations and probability density functions. Comput. Math. Methods Juan Carlos Cortés, Ana Navarro-Quiles, José Vicente Romero, María Dolores Roselló
2021	J	`jnl`	Probabilistic analysis of a class of impulsive linear random differential equations via density functions. Appl. Math. Lett. Juan Carlos Cortés, Sandra E. Delgadillo-Aleman, Roberto A. Ku-Carrillo, Rafael J. Villanueva
2021	J	`jnl`	Solving fully randomized higher-order linear control differential equations: Application to study the dynamics of an oscillator. Comput. Math. Methods Juan Carlos Cortés, Ana Navarro-Quiles, José Vicente Romero, María Dolores Roselló
2020	J	`jnl`	Extending the study on the linear advection equation subject to stochastic velocity field and initial condition. Math. Comput. Simul. Julia Calatayud Gregori, Juan Carlos Cortés, Fábio Antonio Dorini, Marc Jornet
2020	J	`jnl`	Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions. J. Frankl. Inst. Juan Carlos Cortés, Ana Navarro-Quiles, José Vicente Romero, María Dolores Roselló, Enrique Zuazua
2020	J	`jnl`	Mean square convergent numerical solutions of random fractional differential equations: Approximations of moments and density. J. Comput. Appl. Math. Clara Burgos, Juan Carlos Cortés, L. Villafuerte, Rafael J. Villanueva
2020	J	`jnl`	On a stochastic logistic population model with time-varying carrying capacity. Comput. Appl. Math. Julia Calatayud Gregori, Juan Carlos Cortés, Fábio Antonio Dorini, Marc Jornet-Sanz
2020	J	`jnl`	Second order linear differential equations with analytic uncertainties: Stochastic analysis via the computation of the probability density function. J. Comput. Appl. Math. Marc Jornet, Julia Calatayud Gregori, Olivier P. Le Maître, Juan Carlos Cortés
2020	J	`jnl`	Some results about randomized binary Markov chains: theory, computing and applications. Int. J. Comput. Math. Juan Carlos Cortés, Ana Navarro-Quiles, José Vicente Romero, María Dolores Roselló
2020	J	`jnl`	Stability Assessment of Stochastic Differential-Algebraic Systems via Lyapunov Exponents with an Application to Power Systems. CoRR Andrés González-Zumba, Pedro Fernández de Córdoba, Juan Carlos Cortés, Volker Mehrmann
2019	J	`jnl`	A probabilistic analysis of a Beverton-Holt-type discrete model: Theoretical and computing analysis. Comput. Math. Methods Juan Carlos Cortés, Ana Navarro-Quiles, José Vicente Romero, María Dolores Roselló
2019	J	`jnl`	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. Juan Carlos Cortés, Ana Navarro-Quiles, José Vicente Romero, María Dolores Roselló
2019	J	`jnl`	Applying the random variable transformation method to solve a class of random linear differential equation with discrete delay. Appl. Math. Comput. Tomás Caraballo, Juan Carlos Cortés, Ana Navarro-Quiles
2019	J	`jnl`	Calibration of an agent-based simulation model to the data of women infected by Human Papillomavirus with uncertainty. Appl. Soft Comput. Rafael J. Villanueva, José Ignacio Hidalgo, Carlos Cervigón, Javier Villanueva-Oller, Juan Carlos Cortés
2019	J	`jnl`	Combining Polynomial Chaos Expansions and the Random Variable Transformation Technique to Approximate the Density Function of Stochastic Problems, Including Some Epidemiological Models. Symmetry Julia Calatayud Gregori, Benito M. Chen-Charpentier, Juan Carlos Cortés, Marc Jornet-Sanz
2019	J	`jnl`	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. Clara Burgos, Juan Carlos Cortés, David Martínez Rodríguez, Rafael-Jacinto Villanueva
2019	J	`jnl`	Modeling the Dynamics of the Frequent Users of Electronic Commerce in Spain Using Optimization Techniques for Inverse Problems with Uncertainty. J. Optim. Theory Appl. Clara Burgos, Juan Carlos Cortés, Iván-Camilo Lombana, David Martínez Rodríguez, Rafael J. Villanueva
2019	J	`jnl`	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 Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet
2019	J	`jnl`	Random fractional generalized Airy differential equations: A probabilistic analysis using mean square calculus. Appl. Math. Comput. Clara Burgos, Juan Carlos Cortés, Amar Debbouche, Laura Villafuerte, Rafael J. Villanueva
2019	J	`jnl`	Second order linear differential equations with analytic uncertainties: stochastic analysis via the computation of the probability density function. CoRR Marc Jornet, Julia Calatayud Gregori, Olivier P. Le Maître, Juan Carlos Cortés
2019	J	`jnl`	Solving random boundary heat model using the finite difference method under mean square convergence. Comput. Math. Methods Juan Carlos Cortés, José Vicente Romero, María Dolores Roselló, Mohammed A. Sohaly
2019	J	`jnl`	Uncertainty quantification for nonlinear difference equations with dependent random inputs via a stochastic Galerkin projection technique. Commun. Nonlinear Sci. Numer. Simul. Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet
2018	J	`jnl`	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. Clara Burgos, Juan Carlos Cortés, Leonid E. Shaikhet, Rafael-Jacinto Villanueva
2018	J	`jnl`	Analytic-Numerical Solution of Random Parabolic Models: A Mean Square Fourier Transform Approach. Math. Model. Anal. Maria-Consuelo Casabán, Juan Carlos Cortés, Lucas Jódar
2018	J	`jnl`	Computing the probability density function of non-autonomous first-order linear homogeneous differential equations with uncertainty. J. Comput. Appl. Math. Juan Carlos Cortés, Ana Navarro-Quiles, José Vicente Romero, María Dolores Roselló
2018	J	`jnl`	Improving the approximation of the first and second order statistics of the response process to the random Legendre differential equation. CoRR Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet-Sanz
2018	J	`jnl`	Mathematical modeling and computational methods. J. Comput. Appl. Math. Lucas Jódar, Juan R. Torregrosa, Juan Carlos Cortés, Regino Criado
2018	J	`jnl`	On the random gamma function: Theory and computing. J. Comput. Appl. Math. Carlos A. Braumann, Juan Carlos Cortés, Lucas Jódar, L. Villafuerte
2018	J	`jnl`	Predicting mobile apps spread: An epidemiological random network modeling approach. Simul. Juan Alegre-Sanahuja, Juan Carlos Cortés, Rafael-Jacinto Villanueva, Francisco-José Santonja
2018	J	`jnl`	Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series. Appl. Math. Lett. Clara Burgos, Julia Calatayud Gregori, Juan Carlos Cortés, L. Villafuerte
2018	J	`jnl`	Solving linear and quadratic random matrix differential equations using: A mean square approach. The non-autonomous case. J. Comput. Appl. Math. M. Consuelo Casabán, Juan Carlos Cortés, Lucas Jódar
2018	J	`jnl`	Solving random mean square fractional linear differential equations by generalized power series: Analysis and computing. J. Comput. Appl. Math. Clara Burgos, Juan Carlos Cortés, Laura Villafuerte, Rafael J. Villanueva
2018	J	`jnl`	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. Juan Carlos Cortés, Ana Navarro-Quiles, José Vicente Romero, María Dolores Roselló
2018	J	`jnl`	Solving the random Cauchy one-dimensional advection-diffusion equation: Numerical analysis and computing. J. Comput. Appl. Math. Juan Carlos Cortés, Ana Navarro-Quiles, José Vicente Romero, María Dolores Roselló, Mohammed A. Sohaly
2018	J	`jnl`	Swarm hybrid optimization for a piecewise model fitting applied to a glucose model. J. Syst. Inf. Technol. Luis Acedo, Marta Botella, Juan Carlos Cortés, José Ignacio Hidalgo, Esther Maqueda, Rafael Jacinto Villanueva Micó
2017	J	`jnl`	Computing probabilistic solutions of the Bernoulli random differential equation. J. Comput. Appl. Math. M. Consuelo Casabán, Juan Carlos Cortés, Ana Navarro-Quiles, José Vicente Romero, María Dolores Roselló, Rafael J. Villanueva
2017	J	`jnl`	Full solution of random autonomous first-order linear systems of difference equations. Application to construct random phase portrait for planar systems. Appl. Math. Lett. Juan Carlos Cortés, Ana Navarro-Quiles, José Vicente Romero, María Dolores Roselló
2017	J	`jnl`	Improving adaptive generalized polynomial chaos method to solve nonlinear random differential equations by the random variable transformation technique. Commun. Nonlinear Sci. Numer. Simul. Juan Carlos Cortés, José Vicente Romero, María Dolores Roselló, Rafael-Jacinto Villanueva
2017	J	`jnl`	Mathematical Modeling and Computational Methods. J. Comput. Appl. Math. Juan R. Torregrosa, Lucas Jódar, Juan Carlos Cortés, Regino Criado
2017	J	`jnl`	Mean square solution of Bessel differential equation with uncertainties. J. Comput. Appl. Math. Juan Carlos Cortés, Lucas Jódar Sánchez, L. Villafuerte
2017	J	`jnl`	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. Juan Carlos Cortés, Ana Navarro-Quiles, José Vicente Romero, María Dolores Roselló
2017	—	`conf`	Uncertainty Quantification for Meningococcus B Carriers Prediction. IWBBIO (2) Luis Acedo, Clara Burgos, Juan Carlos Cortés, Rafael J. Villanueva
2016	J	`jnl`	A comprehensive probabilistic solution of random SIS-type epidemiological models using the random variable transformation technique. Commun. Nonlinear Sci. Numer. Simul. M. Consuelo Casabán, Juan Carlos Cortés, Ana Navarro-Quiles, José Vicente Romero, María Dolores Roselló, Rafael-Jacinto Villanueva
2016	J	`jnl`	Mathematical modeling and computational methods. J. Comput. Appl. Math. Juan R. Torregrosa, Lucas Jódar, Juan Carlos Cortés, Regino Criado
2016	J	`jnl`	Probabilistic solution of the homogeneous Riccati differential equation: A case-study by using linearization and transformation techniques. J. Comput. Appl. Math. M. Consuelo Casabán, Juan Carlos Cortés, Ana Navarro-Quiles, José Vicente Romero, M. D. Roselló, Rafael J. Villanueva
2016	J	`jnl`	Solving random mixed heat problems: A random integral transform approach. J. Comput. Appl. Math. M. Consuelo Casabán, Juan Carlos Cortés, Lucas Jódar
2015	J	`jnl`	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. Juan Carlos Cortés, Francisco-José Santonja, Ana C. Tarazona, Rafael J. Villanueva, Javier Villanueva-Oller
2015	J	`jnl`	A random Laplace transform method for solving random mixed parabolic differential problems. Appl. Math. Comput. M. Consuelo Casabán, Juan Carlos Cortés, Lucas Jódar
2015	J	`jnl`	Constructing adaptive generalized polynomial chaos method to measure the uncertainty in continuous models: A computational approach. Math. Comput. Simul. Benito M. Chen-Charpentier, Juan Carlos Cortés, J. A. Licea, José Vicente Romero, María Dolores Roselló, Francisco-José Santonja, Rafael J. Villanueva
2015	J	`jnl`	Probabilistic solution of random SI-type epidemiological models using the Random Variable Transformation technique. Commun. Nonlinear Sci. Numer. Simul. M. Consuelo Casabán, Juan Carlos Cortés, José Vicente Romero, María Dolores Roselló
2014	J	`jnl`	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 Juan Carlos Cortés, Francisco-José Santonja, Ana C. Tarazona, Rafael J. Villanueva, Javier Villanueva-Oller
2014	J	`jnl`	Probabilistic solution of random homogeneous linear second-order difference equations. Appl. Math. Lett. M. Consuelo Casabán, Juan Carlos Cortés, José Vicente Romero, María Dolores Roselló
2013	J	`jnl`	Corrigendum to "Preface: The challenge of modelling aggregated human behaviour" [Math. Comput. Modelling 57 (2013) 1617-1618]. Math. Comput. Model. Lucas Jódar, Elena De la Poza, Juan Carlos Cortés, Luis Acedo
2013	J	`jnl`	Do the generalized polynomial chaos and Fröbenius methods retain the statistical moments of random differential equations? Appl. Math. Lett. Benito M. Chen-Charpentier, Juan Carlos Cortés, José Vicente Romero, María Dolores Roselló
2013	J	`jnl`	The challenge of modelling aggregated human behaviour. Math. Comput. Model. Lucas Jódar, Juan Carlos Cortés, Luis Acedo
2012	J	`jnl`	Random mixed hyperbolic models: Numerical analysis and computing. Math. Comput. Simul. Lucas Jódar, Juan Carlos Cortés, Laura Villafuerte
2012	J	`jnl`	Solving initial and two-point boundary value linear random differential equations: A mean square approach. Appl. Math. Comput. Juan Carlos Cortés, Lucas Jódar, María Dolores Roselló, L. Villafuerte
2011	J	`jnl`	Numerical solution of random differential models. Math. Comput. Model. Juan Carlos Cortés, Lucas Jódar, L. Villafuerte, Rafael Company
2011	J	`jnl`	Solving the random Legendre differential equation: Mean square power series solution and its statistical functions. Comput. Math. Appl. Gema Calbo, Juan Carlos Cortés, Lucas Jódar, Laura Villafuerte
2011	J	`jnl`	Towards the mathematical modelling of human behaviour. Math. Comput. Model. Lucas Jódar, Juan Carlos Cortés, Luis Acedo
2010	J	`jnl`	Corrigendum to "Special issue: Mathematical models in medicine, business & engineering 2009" [Math. Comput. Modelling 52 (7-8) (2010)]. Math. Comput. Model. Lucas Jódar, Luis Acedo, Juan Carlos Cortés
2010	J	`jnl`	Mathematical models in medicine, business and engineering 2009: Why applied mathematicians should interact with others and open ways and practices. Math. Comput. Model. Lucas Jódar, Luis Acedo, Juan Carlos Cortés
2010	J	`jnl`	Random Airy type differential equations: Mean square exact and numerical solutions. Comput. Math. Appl. Juan Carlos Cortés, Lucas Jódar, Francisco Camacho, Laura Villafuerte
2008	J	`jnl`	Non-standard numerical method for a mathematical model of RSV epidemiological transmission. Comput. Math. Appl. Abraham J. Arenas, José Antonio Moraño, Juan Carlos Cortés
2008	J	`jnl`	Random analytic solution of coupled differential models with uncertain initial condition and source term. Comput. Math. Appl. Gema Calbo, Juan Carlos Cortés, Lucas Jódar
2007	J	`jnl`	Mean square numerical solution of random differential equations: Facts and possibilities. Comput. Math. Appl. Juan Carlos Cortés, Lucas Jódar, L. Villafuerte
2007	J	`jnl`	Numerical solution of random differential equations: A mean square approach. Math. Comput. Model. Juan Carlos Cortés, Lucas Jódar, Laura Villafuerte