Juan Carlos Cortés
Orcid: 0000-0002-6528-2155Affiliations:
- Polytechnic University of Valencia, Spain
According to our database1,
Juan Carlos Cortés
authored at least 97 papers
between 2004 and 2023.
Collaborative distances:
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Bibliography
2023
Appl. Math. Lett., December, 2023
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., May, 2023
Constructing reliable approximations of the random fractional Hermite equation: solution, moments and density.
Comput. Appl. Math., April, 2023
Probabilistic analysis of a cantilever beam subjected to random loads via probability density functions.
Comput. Appl. Math., February, 2023
Solving discrete first-order matrix linear control problems with general parametric uncertainties: A probability-density-based approach.
J. Frankl. Inst., 2023
On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data.
Commun. Nonlinear Sci. Numer. Simul., 2023
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. Comput. Appl. Math., 2022
Solving random fractional second-order linear equations via the mean square Laplace transform: Theory and statistical computing.
Appl. Math. Comput., 2022
Approaching epistemic and aleatoric uncertainty with evolutionary optimization: examples and challenges.
Proceedings of the GECCO '22: Genetic and Evolutionary Computation Conference, Companion Volume, Boston, Massachusetts, USA, July 9, 2022
Probability density function computation in evolutionary model calibration with uncertainty.
Proceedings of the GECCO '22: Genetic and Evolutionary Computation Conference, Companion Volume, Boston, Massachusetts, USA, July 9, 2022
Evolutionary approach to model calibration with uncertainty: an application to breast cancer growth model.
Proceedings of the GECCO '22: Genetic and Evolutionary Computation Conference, Companion Volume, Boston, Massachusetts, USA, July 9, 2022
2021
Introducing randomness in the analysis of chemical reactions: An analysis based on random differential equations and probability density functions.
Comput. Math. Methods, November, 2021
Solving fully randomized higher-order linear control differential equations: Application to study the dynamics of an oscillator.
Comput. Math. Methods, November, 2021
Probabilistic analysis of a class of impulsive linear random differential equations via density functions.
Appl. Math. Lett., 2021
2020
Extending the study on the linear advection equation subject to stochastic velocity field and initial condition.
Math. Comput. Simul., 2020
Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions.
J. Frankl. Inst., 2020
Second order linear differential equations with analytic uncertainties: Stochastic analysis via the computation of the probability density function.
J. Comput. Appl. Math., 2020
Mean square convergent numerical solutions of random fractional differential equations: Approximations of moments and density.
J. Comput. Appl. Math., 2020
Some results about randomized binary Markov chains: theory, computing and applications.
Int. J. Comput. Math., 2020
Stability Assessment of Stochastic Differential-Algebraic Systems via Lyapunov Exponents with an Application to Power Systems.
CoRR, 2020
Comput. Appl. Math., 2020
2019
Combining Polynomial Chaos Expansions and the Random Variable Transformation Technique to Approximate the Density Function of Stochastic Problems, Including Some Epidemiological Models.
Symmetry, 2019
Modeling the Dynamics of the Frequent Users of Electronic Commerce in Spain Using Optimization Techniques for Inverse Problems with Uncertainty.
J. Optim. Theory Appl., 2019
Uncertainty quantification for nonlinear difference equations with dependent random inputs via a stochastic Galerkin projection technique.
Commun. Nonlinear Sci. Numer. Simul., 2019
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., 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.
Comput. Math. Methods, 2019
Solving random boundary heat model using the finite difference method under mean square convergence.
Comput. Math. Methods, 2019
A probabilistic analysis of a Beverton-Holt-type discrete model: Theoretical and computing analysis.
Comput. Math. Methods, 2019
Calibration of an agent-based simulation model to the data of women infected by Human Papillomavirus with uncertainty.
Appl. Soft Comput., 2019
Applying the random variable transformation method to solve a class of random linear differential equation with discrete delay.
Appl. Math. Comput., 2019
Random fractional generalized Airy differential equations: A probabilistic analysis using mean square calculus.
Appl. Math. Comput., 2019
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., 2019
2018
Simul., 2018
Analytic-Numerical Solution of Random Parabolic Models: A Mean Square Fourier Transform Approach.
Math. Model. Anal., 2018
J. Syst. Inf. Technol., 2018
Solving the random Cauchy one-dimensional advection-diffusion equation: Numerical analysis and computing.
J. Comput. Appl. Math., 2018
Computing the probability density function of non-autonomous first-order linear homogeneous differential equations with uncertainty.
J. Comput. Appl. Math., 2018
Solving linear and quadratic random matrix differential equations using: A mean square approach. The non-autonomous case.
J. Comput. Appl. Math., 2018
Solving random mean square fractional linear differential equations by generalized power series: Analysis and computing.
J. Comput. Appl. Math., 2018
Improving the approximation of the first and second order statistics of the response process to the random Legendre differential equation.
CoRR, 2018
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., 2018
Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series.
Appl. Math. Lett., 2018
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., 2018
2017
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.
J. Comput. Appl. Math., 2017
J. Comput. Appl. Math., 2017
Improving adaptive generalized polynomial chaos method to solve nonlinear random differential equations by the random variable transformation technique.
Commun. Nonlinear Sci. Numer. Simul., 2017
Full solution of random autonomous first-order linear systems of difference equations. Application to construct random phase portrait for planar systems.
Appl. Math. Lett., 2017
Proceedings of the Bioinformatics and Biomedical Engineering, 2017
2016
Probabilistic solution of the homogeneous Riccati differential equation: A case-study by using linearization and transformation techniques.
J. Comput. Appl. Math., 2016
J. Comput. Appl. Math., 2016
A comprehensive probabilistic solution of random SIS-type epidemiological models using the random variable transformation technique.
Commun. Nonlinear Sci. Numer. Simul., 2016
2015
Constructing adaptive generalized polynomial chaos method to measure the uncertainty in continuous models: A computational approach.
Math. Comput. Simul., 2015
Probabilistic solution of random SI-type epidemiological models using the Random Variable Transformation technique.
Commun. Nonlinear Sci. Numer. Simul., 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.
Appl. Math. Comput., 2015
A random Laplace transform method for solving random mixed parabolic differential problems.
Appl. Math. Comput., 2015
2014
Proceedings of the Computational Models of Complex Systems, 2014
Modelling the dynamics of the students' academic performance in the German region of the North Rhine-Westphalia: an epidemiological approach with uncertainty.
Int. J. Comput. Math., 2014
Probabilistic solution of random homogeneous linear second-order difference equations.
Appl. Math. Lett., 2014
2013
Corrigendum to "Preface: The challenge of modelling aggregated human behaviour" [Math. Comput. Modelling 57 (2013) 1617-1618].
Math. Comput. Model., 2013
Predicting the academic underachievement in a high school in Spain over the next few years: A dynamic modeling approach.
Math. Comput. Model., 2013
Do the generalized polynomial chaos and Fröbenius methods retain the statistical moments of random differential equations?
Appl. Math. Lett., 2013
Non-parametric probabilistic forecasting of academic performance in Spanish high school using an epidemiological modelling approach.
Appl. Math. Comput., 2013
Some recommendations for applying gPC (generalized polynomial chaos) to modeling: An analysis through the Airy random differential equation.
Appl. Math. Comput., 2013
2012
Math. Comput. Simul., 2012
Solving initial and two-point boundary value linear random differential equations: A mean square approach.
Appl. Math. Comput., 2012
2011
Solving random diffusion models with nonlinear perturbations by the Wiener-Hermite expansion method.
Comput. Math. Appl., 2011
A comparative study of the numerical approximation of the random Airy differential equation.
Comput. Math. Appl., 2011
Solving the random Legendre differential equation: Mean square power series solution and its statistical functions.
Comput. Math. Appl., 2011
epiModel: A system to build automatically systems of differential equations of compartmental type-epidemiological models.
Comput. Biol. Medicine, 2011
Appl. Math. Lett., 2011
Random Hermite differential equations: Mean square power series solutions and statistical properties.
Appl. Math. Comput., 2011
2010
Mean Square Convergent Numerical Methods for Nonlinear Random Differential Equations.
Trans. Comput. Sci., 2010
Corrigendum to "Special issue: Mathematical models in medicine, business & engineering 2009" [Math. Comput. Modelling 52 (7-8) (2010)].
Math. Comput. Model., 2010
Mathematical models in medicine, business and engineering 2009: Why applied mathematicians should interact with others and open ways and practices.
Math. Comput. Model., 2010
Age-structured mathematical modeling approach to short-term diffusion of electronic commerce in Spain.
Math. Comput. Model., 2010
Comput. Math. Appl., 2010
Comput. Math. Appl., 2010
Comput. Math. Appl., 2010
Appl. Math. Lett., 2010
Appl. Math. Comput., 2010
2009
Random linear-quadratic mathematical models: Computing explicit solutions and applications.
Math. Comput. Simul., 2009
2008
Random analytic solution of coupled differential models with uncertain initial condition and source term.
Comput. Math. Appl., 2008
Non-standard numerical method for a mathematical model of RSV epidemiological transmission.
Comput. Math. Appl., 2008
2007
Math. Comput. Simul., 2007
Math. Comput. Model., 2007
Mean square numerical solution of random differential equations: Facts and possibilities.
Comput. Math. Appl., 2007
2006
Math. Comput. Simul., 2006
2005
The complementary error matrix function and its role solving coupled diffusion mathematical models.
Math. Comput. Model., 2005
Appl. Math. Comput., 2005
2004
An algorithm for solving variable coefficient hyperbolic problems in a semi-infinite mediu.
Appl. Math. Lett., 2004