Listar MAT_Articles por autoría "617ad8f9-df91-4f1e-8a09-526546950d81"
Mostrando ítems 21-30 de 30
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On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data
Bevia, Vicente; Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc Elsevier (2022-08-27)Based on the previous literature about the random logistic and Gompertz models, the aim of this paper is to extend the investigations to the generalized logistic differential equation in the random setting. First, this is ... -
On the random wave equation within the mean square context
Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc American Institute of Mathematical Sciences (AIMS) (2022-02)This paper deals with the random wave equation on a bounded domain with Dirichlet boundary conditions. Randomness arises from the velocity wave, which is a positive random variable, and the two initial conditions, which ... -
On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson's extrapolation
Calatayud, Julia; Jornet, Marc Taylor and Francis Group (2022-04-29)From the classical explicit Euler scheme of first order, nonstandard finite difference (NSFD) schemes were envisioned to mimic the essential properties of the governing differential equation model for every time step-size. ... -
Random non-autonomous second order linear differential equations: mean square analytic solutions and their statistical properties
Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc; Villafuerte, L. Springer (2018-10-24)In this paper we study random non-autonomous second order linear differential equations by taking advantage of the powerful theory of random difference equations. The coefficients are assumed to be stochastic processes, ... -
Some Notes to Extend the Study on Random Non-Autonomous Second Order Linear Differential Equations Appearing in Mathematical Modeling
Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc MDPI (2018-11-27)The objective of this paper is to complete certain issues from our recent contribution (Calatayud, J.; Cortés, J.-C.; Jornet, M.; Villafuerte, L. Random non-autonomous second order linear differential equations: mean ... -
Spatio-temporal stochastic differential equations for crime incidence modeling
Calatayud, Julia; Jornet, Marc; Mateu, Jorge Springer (2023)We propose a methodology for the quantitative fitting and forecasting of real spatio-temporal crime data, based on stochastic differential equations. The analysis is focused on the city of Valencia, Spain, for which 90247 ... -
The damped pendulum random differential equation: A comprehensive stochastic analysis via the computation of the probability density function
Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc Elsevier B.V. (2018-08-13)This paper deals with the damped pendulum random differential equation: X¨(t)+2ω0ξX˙(t) + ω 2 0 X(t) = Y(t), t ∈ [0, T ], with initial conditions X(0) = X0 and X˙(0) = X1. The forcing term Y(t) is a stochastic process ... -
Uncertainty quantification for random Hamiltonian systems by using polynomial expansions and geometric integrators
Jornet, Marc Elsevier (2021-07-22)Recent advances in the field of uncertainty quantification are based on achieving suitable functional representations of the solutions to random systems. This aims at improving the performance of Monte Carlo simulation, ... -
Uncertainty quantification for random parabolic equations with nonhomogeneous boundary conditions on a bounded domain via the approximation of the probability density function
Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc John Wiley & Sons, Ltd. (2018-11-14)This paper deals with the randomized heat equation defined on a general bounded interval [L1, L2] and with nonhomogeneous boundary conditions. The solution is a stochastic process that can be related, via changes of variable, ... -
Valoración del grado de resección de los macroadenomas hipofisarios en la resonancia magnética posquirúrgica inmediata
Taberner López, E.; Vañó Molina, M.; Calatayud, Julia; Jornet, Marc; Jornet Fayos, José; Pastor del Campo, A.; Caño Gómez, A.; Mollá Olmos, Enrique Elsevier (2018)Objetivo Comprobar si es posible determinar el grado de resección de macroadenomas hipofisarios en la resonancia magnética (RM) hipofisaria posquirúrgica inmediata. Material y métodos Se revisaron las RM hipofisarias ...