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Listar por palabra clave "Probability density function"

Mostrando ítems 1-20 de 30

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A full probabilistic analysis of a randomized kinetic model for reaction-deactivation of hydrogen peroxide decomposition with applications to real data

Cortés, J.-C.; Navarro-Quiles, A.; Romero, José-Vicente; Roselló, María-Dolores (Springer-Verlag, 2021-04-15)

[EN] The classical kinetic equation has been broadly used to describe reaction and deactivation processes in chemistry. The mathematical formulation of this deterministic nonlinear differential equation depends on reaction ...
Analysis of the random heat equation via approximate density functions

Calatayud, Julia; Cortés, J.-C. (Editura Academiei Romane, 2021)

[EN] In this paper we study the randomized heat equation with homogeneous boundary conditions. The diffusion coefficient is assumed to be a random variable and the initial condition is treated as a stochastic process. The ...
Applying the Random Variable Transformation method to solve a class of random linear differential equation with discrete delay

Caraballo, Tomas; Cortés, JC; Navarro-Quiles, A. (Elsevier, 2019)

[EN] We randomize the following class of linear differential equations with delay, x(tau)' (t) = ax(tau) (t) bx(tau) (t -tau), t> 0, and initial condition, x(tau )(t) = g(t), -tau <= t <= 0, by assuming that coefficients ...
Approximating the Density of Random Differential Equations with Weak Nonlinearities via Perturbation Techniques

Cortés, J.-C.; López-Navarro, Elena; Romero, José-Vicente; Roselló, María-Dolores (MDPI AG, 2021-01-20)

[EN] We combine the stochastic perturbation method with the maximum entropy principle to construct approximations of the first probability density function of the steady-state solution of a class of nonlinear oscillators ...
Combining Polynomial Chaos Expansions and the Random Variable Transformation Technique to Approximate the Density Function of Stochastic Problems, Including Some Epidemiological Models

Calatayud-Gregori, Julia; Chen-Charpentier, Benito M.; Cortés, J.C.; Jornet-Sanz, Marc (MDPI AG, 2019-01)

[EN] In this paper, we deal with computational uncertainty quantification for stochastic models with one random input parameter. The goal of the paper is twofold: First, to approximate the set of probability density functions ...
Computational methods for random differential equations: probability density function and estimation of the parameters

Calatayud Gregori, Julia (Universitat Politècnica de València, 2020-03-05)

[EN] Mathematical models based on deterministic differential equations do not take into account the inherent uncertainty of the physical phenomenon (in a wide sense) under study. In addition, inaccuracies in the collected ...
Computing the density function of complex models with randomness by using polynomial expansions and the RVT technique. Application to the SIR epidemic model

Calatayud, Julia; Cortés, J.-C.; Jornet, Marc (Elsevier, 2020-04)

[EN] This paper concerns the computation of the probability density function of the stochastic solution to general complex systems with uncertainties formulated via random differential equations. In the existing literature, ...
Constructing reliable approximations of the probability density function to the random heat PDE via a finite difference scheme

Calatayud, J.; Cortés, J.-C.; Díaz, J.A.; Jornet, M. (Elsevier, 2020-05)

[EN] We study the random heat partial differential equation on a bounded domain assuming that the diffusion coefficient and the boundary conditions are random variables, and the initial condition is a stochastic process. ...
Dealing with variability in ecological modelling: An analysis of a random non-autonomous logistic population model

Calatayud Gregori, Julia; Cortés, J.-C.; Dorini, Fábio A.; Jornet Sanz, Marc (John Wiley & Sons, 2022-04)

[EN] This paper presents a methodology to deal with the randomness associated to ecological modelling. Data variability makes it necessary to analyse the impact of random perturbations on the fitted model parameters. We ...
Density function of random differential equations via finite difference schemes: a theoretical analysis of a random diffusion-reaction Poisson-type problem

Calatayud, J.; Cortés, J.-C.; Díaz, J.A.; Jornet, M. (Taylor & Francis, 2020-05-18)

[EN] A computational approach to approximate the probability density function of random differential equations is based on transformation of random variables and finite difference schemes. The theoretical analysis of this ...
Extending the analysis of the Euler-Bernoulli model for a stochastic static cantilever beam: Theory and simulations

Cortés, J.-C.; López-Navarro, Elena; Martínez-Rodríguez, Pablo; Romero, José-Vicente; Roselló, María-Dolores (Elsevier, 2023-10)

[EN] In this paper, we present a comprehensive probabilistic analysis of the deflection of a static cantilever beam based on Euler-Bernoulli's theory. For the sake of generality in our stochastic study, we assume that all ...
Extending the study on the linear advection equation subject to stochastic velocity field and initial condition

Calatayud, J.; Cortés, J.-C.; Dorini, F. A.; Jornet, M. (Elsevier, 2020-06)

[EN] In this paper we extend the study on the linear advection equation with independent stochastic velocity and initial condition performed in Dorini and Cunha (2011). By using both existing and novel results on the ...
Farmer’s subjective elicited water response function for intensive olives and compromise programming method for irrigation supply decision

Berbel, Julio; Gutiérrez-Martín, Carlos (Universitat Politècnica de València, 2015-12-18)

[EN] This research analyses the subjective crop yield-water relationship and proposes a method to determine water supply in irrigated olives. The probability density for water response functions (PDF) is elicited from a ...
First-order linear differential equations whose data are complex random variables: Probabilistic solution and stability analysis via densities

Cortés, J.-C.; Navarro-Quiles, A.; Romero, José-Vicente; Roselló, María-Dolores (American Institute of Mathematical Sciences, 2022)

[EN] Random initial value problems to non-homogeneous first-order linear differential equations with complex coefficients are probabilistically solved by computing the first probability density of the solution. For the ...
Improving the approximation of the probability density function of random nonautonomous logistic-type differential equations

Calatayud-Gregori, Julia; Cortés, J.-C.; Jornet-Sanz, Marc (John Wiley & Sons, 2019-11-19)

[EN] In this paper, we address the problem of approximating the probability density function of the following random logistic differential equation: P-'(t,omega)=A(t,omega)(1-P(t,omega))P(t,omega), t is an element of[t(0),T], ...
La resonancia magnética y el proceso de obtención de imágenes en resonancia magnética. Introduciendo los sistemas de ecuaciones diferenciales aleatorios en el modelo de ecuaciones de Bloch

Catalán Capaccioni, César (Universitat Politècnica de València, 2018-10-22)

[ES] El proceso de obtención de imágenes por resonancia (MRI) es un procedimiento diagnóstico no invasivo del escáner de resonancia magnética para obtener secciones de imágenes detalladas de la estructura interna de nuestro ...
Mathematical methods for the randomized non-autonomous Bertalanffy model

Calatayud, Julia; Caraballo, Tomás; Cortés, J.-C.; Jornet, Marc (Texas State University. Department of Mathematics, 2020-05-26)

[EN] In this article we analyze the randomized non-autonomous Bertalanffy model x' (t, omega) = a(t, omega)x(t, omega) b(t, omega)x(t, omega)(2/3), x(t(0), omega) = x(0)(omega), where a(t, omega) and b(t, omega) are ...
Mean square solutions of random linear models and computation of their probability density function

Jornet Sanz, Marc (Universitat Politècnica de València, 2020-03-05)

[EN] This thesis concerns the analysis of differential equations with uncertain input parameters, in the form of random variables or stochastic processes with any type of probability distributions. In modeling, the input ...
Modelling the dynamics of frequent users of electronic commenrce in Spain using optimization techniques for inverse problems with uncertainty

Burgos-Simon, Clara; Cortés, J.-C.; Lombana, Iván Camilo; Martínez Rodríguez, David; Villanueva Micó, Rafael Jacinto (Springer-Verlag, 2018)

[EN] In this paper, we retrieve data about the frequent users of electronic commerce during the period 2011-2016 from the Spanish National Institute of Statistics. These data,coming from surveys, have intrinsic uncertainty ...
On a stochastic logistic population model with time-varying carrying capacity

Calatayud, J.; Cortés, J.-C.; Dorini, F. A.; Jornet, M. (Springer-Verlag, 2020-10-07)

[EN] In this paper, we deal with the logistic growth model with a time-dependent carrying capacity that was proposed in the literature for the study of the total bacterial biomass during occlusion of healthy human skin. ...