Juan Carlos
Cortés López
Publicaciones en las que colabora con Juan Carlos Cortés López (40)
2023
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On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data
Communications in Nonlinear Science and Numerical Simulation, Vol. 116
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Probabilistic analysis of a general class of nonlinear random differential equations with state-dependent impulsive terms via probability density functions
Communications in Nonlinear Science and Numerical Simulation, Vol. 119
2022
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Dealing with variability in ecological modelling: An analysis of a random non-autonomous logistic population model
Mathematical Methods in the Applied Sciences
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Generalized Probability Density Function of the Solution to the Random Burgers-Riemann Problem
Forum for Interdisciplinary Mathematics (Springer), pp. 43-67
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ON THE RANDOM WAVE EQUATION WITHIN THE MEAN SQUARE CONTEXT
Discrete and Continuous Dynamical Systems - Series S, Vol. 15, Núm. 2, pp. 409-425
2021
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A modified perturbation method for mathematical models with randomness: An analysis through the steady-state solution to Burgers' partial differential equation
Mathematical Methods in the Applied Sciences
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An application of the mean value theorem to study numerical series
Boletín de la Sociedad Puig Adam de profesores de matemáticas, Núm. 112, pp. 54-62
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Analytic solution to the generalized delay diffusion equation with uncertain inputs in the random Lebesgue sense
Mathematical Methods in the Applied Sciences
2020
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An interdisciplinary approach to Liouville's equation
Boletín de la Sociedad Puig Adam de profesores de matemáticas, Núm. 110, pp. 90-100
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Beyond the hypothesis of boundedness for the random coefficient of Airy, Hermite and Laguerre differential equations with uncertainties
Stochastic Analysis and Applications, Vol. 38, Núm. 5, pp. 875-885
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Computing the density function of complex models with randomness by using polynomial expansions and the RVT technique. Application to the SIR epidemic model
Chaos, Solitons and Fractals, Vol. 133
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Constructing reliable approximations of the probability density function to the random heat PDE via a finite difference scheme
Applied Numerical Mathematics, Vol. 151, pp. 413-424
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Density function of random differential equations via finite difference schemes: a theoretical analysis of a random diffusion-reaction Poisson-type problem
Stochastics, Vol. 92, Núm. 4, pp. 627-641
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Extending the study on the linear advection equation subject to stochastic velocity field and initial condition
Mathematics and Computers in Simulation, Vol. 172, pp. 159-174
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Improvement of random coefficient differential models of growth of anaerobic photosynthetic bacteria by combining Bayesian inference and gPC
Mathematical Methods in the Applied Sciences
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Is It Worthwhile Considering Orthogonality in Generalised Polynomial Chaos Expansions Applied to Solving Stochastic Models?
Forum for Interdisciplinary Mathematics (Springer), pp. 261-277
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Lp-solution to the random linear delay differential equation with a stochastic forcing term
Mathematics, Vol. 8, Núm. 6
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Mathematical methods for the randomized non-autonomous bertalanffy model
Electronic Journal of Differential Equations, Vol. 2020, pp. 1-19
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Mean square convergent non-standard numerical schemes for linear random differential equations with delay
Mathematics, Vol. 8, Núm. 9
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On a stochastic logistic population model with time-varying carrying capacity
Computational and Applied Mathematics, Vol. 39, Núm. 4