An algorithm for solving variable coefficient hyperbolic problems in a semi-infinite mediu. - J. C. Cortés; Lucas Jódar; M. D. Roselló (Appl. Math. Lett., 2004)

Exact and numerical solution of Black-Scholes matrix equation. - J. C. Cortés; Lucas Jódar; R. Sala; P. Sevilla-Peris (Appl. Math. Comput., 2005)

A new direct method for solving the Black-Scholes equation. - Lucas Jódar; P. Sevilla-Peris; J. C. Cortés; R. Sala (Appl. Math. Lett., 2005)

The complementary error matrix function and its role solving coupled diffusion mathematical models. - J. C. Cortés; Rafael Company; Lucas Jódar; Enrique Ponsoda (Math. Comput. Model., 2005)

Constructing approximate diffusion processes with uncertain data. - J. C. Cortés; P. Sevilla-Peris; Lucas Jódar (Math. Comput. Simul., 2006)

Mean square numerical solution of random differential equations: Facts and possibilities. - Juan Carlos Cortés; Lucas Jódar; L. Villafuerte 001 (Comput. Math. Appl., 2007)

Numerical solution of random differential equations: A mean square approach. - Juan Carlos Cortés; Lucas Jódar; Laura Villafuerte (Math. Comput. Model., 2007)

Computing mean square approximations of random diffusion models with source term. - J. C. Cortés; Lucas Jódar; L. Villafuerte 001; Rafael J. Villanueva (Math. Comput. Simul., 2007)

Non-standard numerical method for a mathematical model of RSV epidemiological transmission. - Abraham J. Arenas; José Antonio Moraño; Juan Carlos Cortés (Comput. Math. Appl., 2008)

Random analytic solution of coupled differential models with uncertain initial condition and source term. - Gema Calbo; Juan Carlos Cortés; Lucas Jódar (Comput. Math. Appl., 2008)

Random linear-quadratic mathematical models: Computing explicit solutions and applications. - J. C. Cortés; Lucas Jódar; L. Villafuerte 001 (Math. Comput. Simul., 2009)

Random matrix difference models arising in long-term medical drug strategies. - Gema Calbo; J. C. Cortés; Lucas Jódar (Appl. Math. Comput., 2010)

Analytic stochastic process solutions of second-order random differential equations. - Gema Calbo; J. C. Cortés; Lucas Jódar; L. Villafuerte 001 (Appl. Math. Lett., 2010)

Mean square power series solution of random linear differential equations. - Gema Calbo; J. C. Cortés; Lucas Jódar (Comput. Math. Appl., 2010)

Random Airy type differential equations: Mean square exact and numerical solutions. - Juan Carlos Cortés; Lucas Jódar; Francisco Camacho; Laura Villafuerte (Comput. Math. Appl., 2010)

Random differential operational calculus: Theory and applications. - L. Villafuerte 001; Carlos A. Braumann; J. C. Cortés; Lucas Jódar (Comput. Math. Appl., 2010)

Age-structured mathematical modeling approach to short-term diffusion of electronic commerce in Spain. - J. C. Cortés; Iván-Camilo Lombana; Rafael J. Villanueva (Math. Comput. Model., 2010)

Mathematical models in medicine, business and engineering 2009: Why applied mathematicians should interact with others and open ways and practices. - Lucas Jódar; Luis Acedo; Juan Carlos Cortés (Math. Comput. Model., 2010)

Corrigendum to "Special issue: Mathematical models in medicine, business & engineering 2009" [Math. Comput. Modelling 52 (7-8) (2010)]. - Lucas Jódar; Luis Acedo; Juan Carlos Cortés (Math. Comput. Model., 2010)

Mean Square Convergent Numerical Methods for Nonlinear Random Differential Equations. - J. C. Cortés; Lucas Jódar; Rafael J. Villanueva; L. Villafuerte 001 (Trans. Comput. Sci., 2010)

Random Hermite differential equations: Mean square power series solutions and statistical properties. - Gema Calbo; J. C. Cortés; Lucas Jódar (Appl. Math. Comput., 2011)

Solving Riccati time-dependent models with random quadratic coefficients. - J. C. Cortés; Lucas Jódar; Rafael Company; Laura Villafuerte (Appl. Math. Lett., 2011)

epiModel: A system to build automatically systems of differential equations of compartmental type-epidemiological models. - J. C. Cortés; Almudena Sánchez-Sánchez; Francisco-José Santonja; Rafael J. Villanueva (Comput. Biol. Medicine, 2011)

Solving the random Legendre differential equation: Mean square power series solution and its statistical functions. - Gema Calbo; Juan Carlos Cortés; Lucas Jódar; Laura Villafuerte (Comput. Math. Appl., 2011)

A comparative study of the numerical approximation of the random Airy differential equation. - J. C. Cortés; Lucas Jódar; José Vicente Romero; María Dolores Roselló (Comput. Math. Appl., 2011)

Solving random diffusion models with nonlinear perturbations by the Wiener-Hermite expansion method. - J. C. Cortés; José Vicente Romero; María Dolores Roselló; Cristina Santamaría (Comput. Math. Appl., 2011)

Numerical solution of random differential models. - Juan Carlos Cortés; Lucas Jódar; L. Villafuerte 001; Rafael Company (Math. Comput. Model., 2011)

Towards the mathematical modelling of human behaviour. - Lucas Jódar; Juan Carlos Cortés; Luis Acedo (Math. Comput. Model., 2011)

Solving initial and two-point boundary value linear random differential equations: A mean square approach. - Juan Carlos Cortés; Lucas Jódar; María Dolores Roselló; L. Villafuerte 001 (Appl. Math. Comput., 2012)

Random mixed hyperbolic models: Numerical analysis and computing. - Lucas Jódar; Juan Carlos Cortés; Laura Villafuerte (Math. Comput. Simul., 2012)

Some recommendations for applying gPC (generalized polynomial chaos) to modeling: An analysis through the Airy random differential equation. - Benito M. Chen-Charpentier; J. C. Cortés; José Vicente Romero; María Dolores Roselló (Appl. Math. Comput., 2013)

Non-parametric probabilistic forecasting of academic performance in Spanish high school using an epidemiological modelling approach. - J. C. Cortés; Almudena Sánchez-Sánchez; Francisco-José Santonja; Rafael J. Villanueva (Appl. Math. Comput., 2013)

Do the generalized polynomial chaos and Fröbenius methods retain the statistical moments of random differential equations? - Benito M. Chen-Charpentier; Juan Carlos Cortés; José Vicente Romero; María Dolores Roselló (Appl. Math. Lett., 2013)

Predicting the academic underachievement in a high school in Spain over the next few years: A dynamic modeling approach. - J. Camacho; J. C. Cortés; R.-M. Micle; Almudena Sánchez-Sánchez (Math. Comput. Model., 2013)

The challenge of modelling aggregated human behaviour. - Lucas Jódar; Juan Carlos Cortés; Luis Acedo (Math. Comput. Model., 2013)

Corrigendum to "Preface: The challenge of modelling aggregated human behaviour" [Math. Comput. Modelling 57 (2013) 1617-1618]. - Lucas Jódar; Elena De la Poza; Juan Carlos Cortés; Luis Acedo (Math. Comput. Model., 2013)

Probabilistic solution of random homogeneous linear second-order difference equations. - M. Consuelo Casabán; Juan Carlos Cortés; José Vicente Romero; María Dolores Roselló (Appl. Math. Lett., 2014)

Modelling the dynamics of the students' academic performance in the German region of the North Rhine-Westphalia: an epidemiological approach with uncertainty. - J. C. Cortés; Matthias Ehrhardt 001; Almudena Sánchez-Sánchez; Francisco-José Santonja; Rafael J. Villanueva (Int. J. Comput. Math., 2014)

Probabilistic European Country Risk Score Forecasting Using a Diffusion Model. - Roberto Cervelló-Royo; J. C. Cortés; Almudena Sánchez-Sánchez; Francisco-José Santonja; Rachad M. Shoucri; Rafael J. Villanueva (Computational Models of Complex Systems, 2014)

A random Laplace transform method for solving random mixed parabolic differential problems. - M. Consuelo Casabán; Juan Carlos Cortés; Lucas Jódar (Appl. Math. Comput., 2015)

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. - Juan Carlos Cortés; Francisco-José Santonja; Ana C. Tarazona; Rafael J. Villanueva; Javier Villanueva-Oller (Appl. Math. Comput., 2015)

Probabilistic solution of random SI-type epidemiological models using the Random Variable Transformation technique. - M. Consuelo Casabán; Juan Carlos Cortés; José Vicente Romero; María Dolores Roselló (Commun. Nonlinear Sci. Numer. Simul., 2015)

Constructing adaptive generalized polynomial chaos method to measure the uncertainty in continuous models: A computational approach. - Benito M. Chen-Charpentier; Juan Carlos Cortés; J. A. Licea; José Vicente Romero; María Dolores Roselló; Francisco-José Santonja; Rafael J. Villanueva (Math. Comput. Simul., 2015)

A comprehensive probabilistic solution of random SIS-type epidemiological models using the random variable transformation technique. - M. Consuelo Casabán; Juan Carlos Cortés; Ana Navarro-Quiles; José Vicente Romero; María Dolores Roselló; Rafael-Jacinto Villanueva (Commun. Nonlinear Sci. Numer. Simul., 2016)

Solving random mixed heat problems: A random integral transform approach. - M. Consuelo Casabán; Juan Carlos Cortés; Lucas Jódar (J. Comput. Appl. Math., 2016)

Probabilistic solution of the homogeneous Riccati differential equation: A case-study by using linearization and transformation techniques. - M. Consuelo Casabán; Juan Carlos Cortés; Ana Navarro-Quiles; José Vicente Romero; M. D. Roselló; Rafael J. Villanueva (J. Comput. Appl. Math., 2016)

Uncertainty Quantification for Meningococcus B Carriers Prediction. - Luis Acedo; Clara Burgos; Juan Carlos Cortés; Rafael J. Villanueva (IWBBIO (2), 2017)

Full solution of random autonomous first-order linear systems of difference equations. Application to construct random phase portrait for planar systems. - Juan Carlos Cortés; Ana Navarro-Quiles; José Vicente Romero; María Dolores Roselló (Appl. Math. Lett., 2017)

Improving adaptive generalized polynomial chaos method to solve nonlinear random differential equations by the random variable transformation technique. - Juan Carlos Cortés; José Vicente Romero; María Dolores Roselló; Rafael-Jacinto Villanueva (Commun. Nonlinear Sci. Numer. Simul., 2017)

Computing probabilistic solutions of the Bernoulli random differential equation. - M. Consuelo Casabán; Juan Carlos Cortés; Ana Navarro-Quiles; José Vicente Romero; María Dolores Roselló; Rafael J. Villanueva (J. Comput. Appl. Math., 2017)

Randomizing the parameters of a Markov chain to model the stroke disease: A technical generalization of established computational methodologies towards improving real applications. - Juan Carlos Cortés; Ana Navarro-Quiles; José Vicente Romero; María Dolores Roselló (J. Comput. Appl. Math., 2017)

Mean square solution of Bessel differential equation with uncertainties. - Juan Carlos Cortés; Lucas Jódar Sánchez; L. Villafuerte 001 (J. Comput. Appl. Math., 2017)

Solving second-order linear differential equations with random analytic coefficients about ordinary points: A full probabilistic solution by the first probability density function. - Juan Carlos Cortés; Ana Navarro-Quiles; José Vicente Romero; María Dolores Roselló (Appl. Math. Comput., 2018)

Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series. - Clara Burgos; Julia Calatayud Gregori; Juan Carlos Cortés; L. Villafuerte 001 (Appl. Math. Lett., 2018)

A nonlinear dynamic age-structured model of e-commerce in spain: Stability analysis of the equilibrium by delay and stochastic perturbations. - Clara Burgos; Juan Carlos Cortés; Leonid E. Shaikhet; Rafael-Jacinto Villanueva (Commun. Nonlinear Sci. Numer. Simul., 2018)

Improving the approximation of the first and second order statistics of the response process to the random Legendre differential equation. - Julia Calatayud Gregori; Juan Carlos Cortés; Marc Jornet-Sanz (CoRR, 2018)

On the random gamma function: Theory and computing. - Carlos A. Braumann; Juan Carlos Cortés; Lucas Jódar; L. Villafuerte 001 (J. Comput. Appl. Math., 2018)

Solving random mean square fractional linear differential equations by generalized power series: Analysis and computing. - Clara Burgos; Juan Carlos Cortés; Laura Villafuerte; Rafael J. Villanueva (J. Comput. Appl. Math., 2018)

Solving linear and quadratic random matrix differential equations using: A mean square approach. The non-autonomous case. - M. Consuelo Casabán; Juan Carlos Cortés; Lucas Jódar (J. Comput. Appl. Math., 2018)

Computing the probability density function of non-autonomous first-order linear homogeneous differential equations with uncertainty. - Juan Carlos Cortés; Ana Navarro-Quiles; José Vicente Romero; María Dolores Roselló (J. Comput. Appl. Math., 2018)

Solving the random Cauchy one-dimensional advection-diffusion equation: Numerical analysis and computing. - Juan Carlos Cortés; Ana Navarro-Quiles; José Vicente Romero; María Dolores Roselló; Mohammed A. Sohaly (J. Comput. Appl. Math., 2018)

Mathematical modeling and computational methods. - Lucas Jódar; Juan R. Torregrosa; Juan Carlos Cortés; Regino Criado (J. Comput. Appl. Math., 2018)

Swarm hybrid optimization for a piecewise model fitting applied to a glucose model. - Luis Acedo; Marta Botella; Juan Carlos Cortés; José Ignacio Hidalgo; Esther Maqueda; Rafael Jacinto Villanueva Micó (J. Syst. Inf. Technol., 2018)

Analytic-Numerical Solution of Random Parabolic Models: A Mean Square Fourier Transform Approach. - Maria-Consuelo Casabán; Juan Carlos Cortés; Lucas Jódar (Math. Model. Anal., 2018)

Predicting mobile apps spread: An epidemiological random network modeling approach. - Juan Alegre-Sanahuja; Juan Carlos Cortés; Rafael-Jacinto Villanueva; Francisco-José Santonja (Simul., 2018)

Computational Modeling with uncertainty of Frequent Users of E-Commerce in Spain using an Age-Group Dynamic nonlinear Model with varying Size Population. - Clara Burgos; Juan Carlos Cortés; David Martínez Rodríguez; Rafael-Jacinto Villanueva (Adv. Complex Syst., 2019)

Random fractional generalized Airy differential equations: A probabilistic analysis using mean square calculus. - Clara Burgos; Juan Carlos Cortés; Amar Debbouche; Laura Villafuerte; Rafael J. Villanueva (Appl. Math. Comput., 2019)

Applying the random variable transformation method to solve a class of random linear differential equation with discrete delay. - Tomás Caraballo; Juan Carlos Cortés; Ana Navarro-Quiles (Appl. Math. Comput., 2019)

Calibration of an agent-based simulation model to the data of women infected by Human Papillomavirus with uncertainty. - Rafael J. Villanueva; José Ignacio Hidalgo; Carlos Cervigón; Javier Villanueva-Oller; Juan Carlos Cortés (Appl. Soft Comput., 2019)

A probabilistic analysis of a Beverton-Holt-type discrete model: Theoretical and computing analysis. - Juan Carlos Cortés; Ana Navarro-Quiles; José Vicente Romero; María Dolores Roselló (Comput. Math. Methods, 2019)

Solving random boundary heat model using the finite difference method under mean square convergence. - Juan Carlos Cortés; José Vicente Romero; María Dolores Roselló; Mohammed A. Sohaly (Comput. Math. Methods, 2019)

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. - Julia Calatayud Gregori; Juan Carlos Cortés; Marc Jornet (Comput. Math. Methods, 2019)

Analysis of random non-autonomous logistic-type differential equations via the Karhunen-Loève expansion and the Random Variable Transformation technique. - Juan Carlos Cortés; Ana Navarro-Quiles; José Vicente Romero; María Dolores Roselló (Commun. Nonlinear Sci. Numer. Simul., 2019)

Uncertainty quantification for nonlinear difference equations with dependent random inputs via a stochastic Galerkin projection technique. - Julia Calatayud Gregori; Juan Carlos Cortés; Marc Jornet (Commun. Nonlinear Sci. Numer. Simul., 2019)

Modeling the Dynamics of the Frequent Users of Electronic Commerce in Spain Using Optimization Techniques for Inverse Problems with Uncertainty. - Clara Burgos; Juan Carlos Cortés; Iván-Camilo Lombana; David Martínez Rodríguez; Rafael J. Villanueva (J. Optim. Theory Appl., 2019)

Combining Polynomial Chaos Expansions and the Random Variable Transformation Technique to Approximate the Density Function of Stochastic Problems, Including Some Epidemiological Models. - Julia Calatayud Gregori; Benito M. Chen-Charpentier; Juan Carlos Cortés; Marc Jornet-Sanz (Symmetry, 2019)

On a stochastic logistic population model with time-varying carrying capacity. - Julia Calatayud Gregori; Juan Carlos Cortés; Fábio Antonio Dorini; Marc Jornet-Sanz (Comput. Appl. Math., 2020)

Stability Assessment of Stochastic Differential-Algebraic Systems via Lyapunov Exponents with an Application to Power Systems. - Andrés González-Zumba; Pedro Fernández de Córdoba; Juan Carlos Cortés; Volker Mehrmann (CoRR, 2020)

Some results about randomized binary Markov chains: theory, computing and applications. - Juan Carlos Cortés; Ana Navarro-Quiles; José Vicente Romero; María Dolores Roselló (Int. J. Comput. Math., 2020)

Mean square convergent numerical solutions of random fractional differential equations: Approximations of moments and density. - Clara Burgos; Juan Carlos Cortés; L. Villafuerte 001; Rafael J. Villanueva (J. Comput. Appl. Math., 2020)

Second order linear differential equations with analytic uncertainties: Stochastic analysis via the computation of the probability density function. - Marc Jornet; Julia Calatayud Gregori; Olivier P. Le Maître; Juan Carlos Cortés (J. Comput. Appl. Math., 2020)

Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions. - Juan Carlos Cortés; Ana Navarro-Quiles; José Vicente Romero; María Dolores Roselló; Enrique Zuazua (J. Frankl. Inst., 2020)

Extending the study on the linear advection equation subject to stochastic velocity field and initial condition. - Julia Calatayud Gregori; Juan Carlos Cortés; Fábio Antonio Dorini; Marc Jornet (Math. Comput. Simul., 2020)

Probabilistic analysis of a class of impulsive linear random differential equations via density functions. - Juan Carlos Cortés; Sandra E. Delgadillo-Aleman; Roberto A. Ku-Carrillo; Rafael J. Villanueva (Appl. Math. Lett., 2021)

Solving fully randomized higher-order linear control differential equations: Application to study the dynamics of an oscillator. - Juan Carlos Cortés; Ana Navarro-Quiles; José Vicente Romero; María Dolores Roselló (Comput. Math. Methods, 2021)

Introducing randomness in the analysis of chemical reactions: An analysis based on random differential equations and probability density functions. - Juan Carlos Cortés; Ana Navarro-Quiles; José Vicente Romero; María Dolores Roselló (Comput. Math. Methods, 2021)

Evolutionary approach to model calibration with uncertainty: an application to breast cancer growth model. - Carlos Andreu-Vilarroig; Josu Ceberio; Juan Carlos Cortés; Francisco Fernández de Vega; José Ignacio Hidalgo; Rafael-Jacinto Villanueva (GECCO Companion, 2022)

Probability density function computation in evolutionary model calibration with uncertainty. - Vicente-José Bevia; Carlos Andreu-Vilarroig; Juan Carlos Cortés; Rafael-Jacinto Villanueva (GECCO Companion, 2022)

Approaching epistemic and aleatoric uncertainty with evolutionary optimization: examples and challenges. - Josu Ceberio; Juan Carlos Cortés; Francisco Fernández de Vega; Oscar Garnica; José Ignacio Hidalgo; J. Manuel Velasco; Rafael-Jacinto Villanueva (GECCO Companion, 2022)

Solving random fractional second-order linear equations via the mean square Laplace transform: Theory and statistical computing. - Clara Burgos; Juan Carlos Cortés; L. Villafuerte 001; Rafael J. Villanueva (Appl. Math. Comput., 2022)

Solving fully randomized first-order linear control systems: Application to study the dynamics of a damped oscillator with parametric noise under stochastic control. - J. C. Cortés; Ana Navarro-Quiles; José Vicente Romero; M. D. Roselló (J. Comput. Appl. Math., 2022)

On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data. - Vicente-José Bevia; Julia Calatayud Gregori; Juan Carlos Cortés; Marc Jornet-Sanz (Commun. Nonlinear Sci. Numer. Simul., 2023)

Solving discrete first-order matrix linear control problems with general parametric uncertainties: A probability-density-based approach. - J. C. Cortés; Ana Navarro-Quiles; José Vicente Romero; M. D. Roselló (J. Frankl. Inst., 2023)

Probabilistic analysis of a cantilever beam subjected to random loads via probability density functions. - Juan Carlos Cortés; Elena López-Navarro; José Vicente Romero; María Dolores Roselló (Comput. Appl. Math., 2023)

Constructing reliable approximations of the random fractional Hermite equation: solution, moments and density. - Clara Burgos; Tomás Caraballo; Juan Carlos Cortés; Laura Villafuerte; Rafael-Jacinto Villanueva (Comput. Appl. Math., 2023)

Probabilistic analysis of a general class of nonlinear random differential equations with state-dependent impulsive terms via probability density functions. - Vicente-José Bevia; Juan Carlos Cortés; Marc Jornet; Rafael J. Villanueva (Commun. Nonlinear Sci. Numer. Simul., 2023)

Probabilistic analysis of a class of 2D-random heat equations via densities. - Vicente-José Bevia; Julia Calatayud Gregori; Juan Carlos Cortés (Appl. Math. Lett., 2023)

Novel methodological and computational techniques for uncertainty quantification in diabetes short-term management models using real data. - Clara Burgos Simón; Juan Carlos Cortés; José Ignacio Hidalgo; Rafael J. Villanueva (Int. J. Comput. Math., 2024)

A note on the application of the RVT method to general classes of single-species population models formulated by random differential equations. - Francisco Rodríguez 002; Fatima Zohra Lachachi; Ikram Medjahdi; María Ángeles Castro; Juan Carlos Cortés (Comput. Appl. Math., 2024)

A random mathematical model to describe the antibiotic resistance depending on the antibiotic consumption: the Acinetobacter baumannii colistin-resistant case in Valencia, Spain. - Juan A. Aledo; Carlos Andreu-Vilarroig; Juan Carlos Cortés; Juan C. Orengo; Rafael-Jacinto Villanueva (Int. J. Comput. Math., 2025)