Publicacions en revistes

• On the interpretation of Caputo fractional compartmental models

  Julia Calatayud Gregori, Marc Jornet, Carla M. A. Pinto. CHAOS SOLITONS & FRACTALS . Vol. 186. pp. 1-17. 2024. Científic.

• A note on the mean-square solution of the hypergeometric differential equation with uncertainties

  Julia Calatayud Gregori. COMPUTATIONAL & APPLIED MATHEMATICS. Num. 2. Vol. 43. pp. 1-12. 2024. Científic.

• A dynamical mathematical model for crime evolution based on a compartmental system with interactions (Epub ahead of print)

  Julia Calatayud Gregori, Marc Jornet, Jorge Mateu Mahiques. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. Num. online. 2024. Científic.

• Probabilistic analysis of a class of 2D-random heat equations via densities

  V. Bevia, Julia Calatayud Gregori, J. C. Cortés. APPLIED MATHEMATICS LETTERS . Vol. 146. pp. 1-8. 2023. Científic.

• A new population model for urban infestations

  Julia Calatayud Gregori, Marc Jornet, Jorge Mateu Mahiques, Carla M. A. Pinto. CHAOS SOLITONS & FRACTALS . Vol. 175. pp. 1-10. 2023. Científic.

• Spatio-temporal stochastic differential equations for crime incidence modeling

  Julia Calatayud Gregori, Marc Jornet Sanz, Jorge Mateu Mahiques. STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT. Num. 5. Vol. 37. pp. 1839-1854. 2023. Científic.

• Modeling noisy time-series data of crime with stochastic differential equations

  Julia Calatayud Gregori, Marc Jornet Sanz, Jorge Mateu Mahiques. STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT. Num. 3. Vol. 37. pp. 1053-1066. 2023. Científic.

• Spatial modeling of crime dynamics: Patch and reaction-diffusion compartmental systems (Epub ahead of print)

  Julia Calatayud Gregori, Marc Jornet, Jorge Mateu Mahiques. MATHEMATICAL METHODS IN THE APPLIED SCIENCES . Num. online. pp. 1-20. 2023. Científic.

• On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data

  V. Bevia, Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. Vol. 116. pp. 1-17. 2023. Científic.

• A phenomenological model for COVID-19 data taking into account neighboring-provinces effect and random noise

  Julia Calatayud Gregori, Marc Jornet Sanz, Jorge Mateu Mahiques. STATISTICA NEERLANDICA . Num. 2. Vol. 77. pp. 146-155. 2023. Científic.

• On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson's extrapolation

  Julia Calatayud Gregori, Marc Jornet Sanz. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS . Num. 5. Vol. 28. pp. 716-724. 2022. Científic.

• Dealing with variability in ecological modelling: An analysis of a random non-autonomous logistic population model

  Julia Calatayud Gregori, Juan Carlos Cortés, Fabio A. Dorini, Marc Jornet Sanz. MATHEMATICAL METHODS IN THE APPLIED SCIENCES . Num. 6. Vol. 45. pp. 3318-3333. 2022. Científic.

• Extending the applicability of the RVT technique for the randomized radioactive decay chain model

  Julia Calatayud Gregori, Marc Jornet Sanz. European Physical Journal Plus. Num. 3. Vol. 137. pp. 1-8. 2022. Científic.

• A stochastic Bayesian bootstrapping model for COVID-19 data

  Julia Calatayud Gregori, Marc Jornet Sanz, Jorge Mateu Mahiques. STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT. Num. 9. Vol. 36. pp. 2907-2917. 2022. Científic.

• Frailty Assessment in a Stable COPD Cohort: Is There a COPD-Frail Phenotype?

  Elsa Naval, María Cruz González, Sonia Giraldós, Julia Calatayud Gregori, Marc Jornet Sanz, Inmaculada Lluch, María Meseguer, Juan José Ruiz Cubillan, José Viña, Francisco José Tarazona-Santabalbina. COPD-Journal of Chronic Obstructive Pulmonary Disease. Num. 5. Vol. 18. pp. 525-532. 2021. Científic.

• On the random wave equation within the mean square context

  Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet Sanz. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S. Num. 2. Vol. 15. pp. 409-425. 2022. Científic.

• Modeling of adulthood obesity in Spain using Itô-type stochastic differential equations

  Julia Calatayud Gregori, Marc Jornet Sanz. CHAOS SOLITONS & FRACTALS . Vol. 145. pp. 1-10. 2021. Científic.

• Analysis of the random heat equation via approximate density functions

  Julia Calatayud Gregori, Juan Carlos Cortés. Romanian Reports in Physics. Num. 2. Vol. 73. pp. 1-10. 2021. Científic.

• An improvement of two nonstandard finite difference schemes for two population mathematical models

  Julia Calatayud Gregori, Marc Jornet Sanz. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS . Num. 3. Vol. 27. pp. 422-430. 2021. Científic.

• On the Random Non-Autonomous Logistic Equation with Time-Dependent Coefficients

  Julia Calatayud Gregori, J.C. Cortés, F. A. Dorini. FLUCTUATION AND NOISE LETTERS . Num. 4. Vol. 20. 2021. Científic.

• Short comment on the construction of soliton solutions

  Julia Calatayud Gregori, Marc Jornet Sanz. OPTIK . Vol. 228. 2021. Científic.

• Mathematical modeling of adulthood obesity epidemic in Spain using deterministic, frequentist and Bayesian approaches

  Julia Calatayud Gregori, Marc Jornet Sanz. CHAOS SOLITONS & FRACTALS . Vol. 140. 2020. Científic.

• Variance reduction methods and multilevel Monte Carlo strategy for estimating densities of solutions to random second-order linear differential equations

  Marc Jornet Sanz, Julia Calatayud Gregori, Olivier P. Le Maìtre, Juan Carlos Cortés. INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION. Num. 5. Vol. 10. pp. 467-497. 2020. Científic.

• On a stochastic logistic population model with time-varying carrying capacity

  Julia Calatayud Gregori, J. C. Cortés, F. A. Dorini, Marc Jornet Sanz. COMPUTATIONAL & APPLIED MATHEMATICS. Num. 4. Vol. 39. 2020. Científic.

• Una aproximación interdisciplinar a la ecuación de Liouville

  Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz. BOLETÍN - SOCIEDAD ""PUIG ADAM"" DE PROFESORES DE MATEMÁTICAS. Num. 110. pp. 90-100. 2020. Científic.

• Improvement of random coefficient differential models of growth of anaerobic photosynthetic bacteria by combining Bayesian inference and gPC

  Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet Sanz. MATHEMATICAL METHODS IN THE APPLIED SCIENCES . Num. 14. Vol. 43. pp. 7885-7904. 2020. Científic.

• Beyond the hypothesis of boundedness for the random coefficient of Airy, Hermite and Laguerre differential equations with uncertainties

  Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet Sanz. STOCHASTIC ANALYSIS AND APPLICATIONS . Num. 5. Vol. 38. pp. 875-885. 2020. Científic.

• Mean Square Convergent Non-Standard Numerical Schemes for Linear Random Differential Equations with Delay

  Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet Sanz, Francisco Rodríguez. MATHEMATICS. Num. 9. Vol. 8. 2020. Científic.

• Second order linear differential equations with analytic uncertainties: Stochastic analysis via the computation of the probability density function

  Marc Jornet Sanz, Julia Calatayud Gregori, O.P. Le Maître, J. C. Cortés. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. Vol. 374. 2020. Científic.

• Extending the study on the linear advection equation subject to stochastic velocity field and initial condition

  Julia Calatayud Gregori, J. C. Cortés, F.A. Dorini, Marc Jornet Sanz. MATHEMATICS AND COMPUTERS IN SIMULATION . Vol. 172. pp. 159-174. 2020. Científic.

• Stochastic simulation of epidemics using the maximum entropy principle and generalized polynomial chaos expansions

  Julia Calatayud Gregori, Marc Jornet Sanz. Romanian Reports in Physics. Num. 2. Vol. 72. 2020. Científic.

• Mathematical methods for the randomized non-autonomous Bertalanffy model

  Julia Calatayud Gregori, Tomás Caraballo, Juan Carlos Cortés, Marc Jornet Sanz. Electronic Journal of Differential Equations. Num. 50. Vol. 2020. pp. 1-19. 2020. Científic.

• Density function of random differential equations via finite difference schemes: a theoretical analysis of a random diffusion-reaction Poisson-type problem

  Julia Calatayud Gregori, J. C. Cortés, J. A. Díaz, Marc Jornet Sanz. Stochastics-An International Journal of Probability and Stochastic Processes. Num. 4. Vol. 92. pp. 627-641. 2020. Científic.

• On the convergence of the mild random walk algorithm to generate random one-factorizations of complete graphs

  Julia Calatayud Gregori, Marc Jornet Sanz. JOURNAL OF DISCRETE MATHEMATICAL SCIENCES AND CRYPTOGRAPHY. Num. 2. Vol. 25. pp. 439-454. 2022. Científic.

• Constructing reliable approximations of the probability density function to the random heat PDE via a finite difference scheme

  Julia Calatayud Gregori, J. C. Cortés, J. A. Díaz, Marc Jornet Sanz. APPLIED NUMERICAL MATHEMATICS . Vol. 151. pp. 413-424. 2020. Científic.

• A modified perturbation method for mathematical models with randomness: An analysis through the steady‐state solution to Burgers' partial differential equation

  Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet Sanz. MATHEMATICAL METHODS IN THE APPLIED SCIENCES . Num. 15. Vol. 44. pp. 11820-11827. 2021. Científic.

• Computing the density function of complex models with randomness by using polynomial expansions and the RVT technique. Application to the SIR epidemic model

  Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz. CHAOS SOLITONS & FRACTALS . Vol. 133. 2020. Científic.

• Improving the approximation of the probability density function of random nonautonomous logistic‐type differential equations

  Julia Calatayud Gregori, Juan Carlos Cortes, Marc Jornet Sanz. MATHEMATICAL METHODS IN THE APPLIED SCIENCES . Num. 18. Vol. 42. pp. 7259-7267. 2019. Científic.

• Uncertainty quantification for random parabolic equations with nonhomogeneous boundary conditions on a bounded domain via the approximation of the probability density function

  Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet Sanz. MATHEMATICAL METHODS IN THE APPLIED SCIENCES . Num. 17. Vol. 42. pp. 5649-5667. 2019. Científic.

• Random differential equations with discrete delay

  Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz. STOCHASTIC ANALYSIS AND APPLICATIONS . Num. 5. Vol. 37. pp. 699-707. 2019. Científic.

• Lp-calculus Approach to the Random Autonomous Linear Differential Equation with Discrete Delay

  Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz. MEDITERRANEAN JOURNAL OF MATHEMATICS. Num. 4. Vol. 16. 2019. Científic.

• Approximate solutions of randomized non-autonomous complete linear differential equations via probability density functions

  Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet Sanz. Electronic Journal of Differential Equations. Num. 85. Vol. 2019. 2019. Científic.

• 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, J. C. Cortés, Marc Jornet Sanz. COMPUTATIONAL AND MATHEMATICAL METHODS. Num. 4. Vol. 1. 2019. Científic.

• Uncertainty quantification for nonlinear difference equations with dependent random inputs via a stochastic Galerkin projection technique

  Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. Vol. 72. pp. 108-120. 2019. Científic.

• Improving the Approximation of the First- and Second-Order Statistics of the Response Stochastic Process to the Random Legendre Differential Equation

  Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz. MEDITERRANEAN JOURNAL OF MATHEMATICS. Num. 3. Vol. 16. 2019. Científic.

• 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, B. M. Chen Charpentier, Juan Carlos Cortés, Marc Jornet Sanz. Symmetry-Basel. Num. 1. Vol. 11. pp. 43-60. 2019. Científic.

• Computational uncertainty quantification for random non-autonomous second order linear differential equations via adapted gPC: a comparative case study with random Frobenius method and Monte Carlo simulation

  Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet Sanz. OPEN MATHEMATICS. Vol. 16. pp. 1651-1666. 2018. Científic.

• The damped pendulum random differential equation: A comprehensive stochastic analysis via the computation of the probability density function

  Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz. PHYSICA A. STATISTICAL MECHANICS AND ITS APPLICATIONS. Vol. 512. pp. 261-279. 2018. Científic.

• Some Notes to Extend the Study on Random Non-Autonomous Second Order Linear Differential Equations Appearing in Mathematical Modeling

  Julia Calatayud Gregori, Juan Carlos Cortés López, Marc Jornet Sanz. MATHEMATICAL AND COMPUTATIONAL APPLICATIONS. Num. 23. Vol. 4. 2018. Científic.

• Random non-autonomous second order linear differential equations: mean square analytic solutions and their statistical properties

  Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz, L. Villafuerte. Advances in Difference Equations. pp. 1-29. 2018. Científic.

• Computational uncertainty quantification for random time‐discrete epidemiological models using adaptive gPC

  Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet Sanz, Rafael Jacinto Villanueva. MATHEMATICAL METHODS IN THE APPLIED SCIENCES . Num. 18. Vol. 41. pp. 9618-9627. 2018. Científic.

• On the convergence of adaptive gPC for non-linear random difference equations: Theoretical analysis and some practical recommendations

  Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS. Num. 9. Vol. 11. pp. 1077-1084. 2018. Científic.

• A full probabilistic solution of the random linear fractional differential equation via the random variable transformation technique

  Clara Burgos, Julia Calatayud Gregori, Juan Carlos Cortés, A. Navarro-Quiles. MATHEMATICAL METHODS IN THE APPLIED SCIENCES . Num. 18. Vol. 41. pp. 9037-9047. 2018. Científic.

• 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, Laura Villafuerte. APPLIED MATHEMATICS LETTERS . Vol. 78. pp. 95-104. 2018. Científic.

• Valoración del grado de resección de los macroadenomas hipofisarios en la resonancia magnética posquirúrgica inmediata

  E. Taberner López, M. Vañó Molina, Julia Calatayud Gregori, Marc Jornet Sanz, J. Jornet Fayos, A. Pastor del Campo, A. Caño Gómez, E. Mollá Olmos. RADIOLOGÍA. Num. 1. Vol. 60. pp. 64-72. 2018. Científic.

• Una aplicación del teorema del valor medio para estudiar series numéricas

  Clara Burgos, Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet Sanz. BOLETÍN - SOCIEDAD ""PUIG ADAM"" DE PROFESORES DE MATEMÁTICAS. pp. 54-62. 2021. Docent.

• Reconstructing complex polygons from the medium points of its sides

  J. A. Aledo, Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz. BOLETÍN - SOCIEDAD ""PUIG ADAM"" DE PROFESORES DE MATEMÁTICAS. Num. 109. 2020. Docent.

• Determinants, dierence equations and elementary functions

  C. Burgos, Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz, A. Navarro. BOLETÍN - SOCIEDAD ""PUIG ADAM"" DE PROFESORES DE MATEMÁTICAS. 2019. Docent.

• Una introducción a la modelización estocástica de subyacentes cotizados

  Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz, R. J. Villanueva. MODELLING IN SCIENCE EDUCATION AND LEARNING. Num. 1. Vol. 12. pp. 47-58. 2019. Docent.

• Multivariate continuous probability distributions and partial differential equations: A simple and nice connection

  Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet Sanz. BOLETÍN DE ESTADÍSTICA E INVESTIGACIÓN OPERATIVA. Num. 2. Vol. 34. pp. 149-158. 2018. Docent.

• Una nota sobre la interpretación gráfica del concepto de esperanza condicional

  C. Burgos, Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz. BOLETÍN - SOCIEDAD ""PUIG ADAM"" DE PROFESORES DE MATEMÁTICAS. Num. 106. pp. 67-75. 2018. Docent.

• Una nota sobre una clase de ecuaciones diferenciales con condicion inicial aleatoria

  J. M. Ballesteros, C. Burgos, Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz. BOLETÍN - SOCIEDAD ""PUIG ADAM"" DE PROFESORES DE MATEMÁTICAS. Num. 105. pp. 64-73. 2018. Docent.

Llibres

• An introduction to random variables, random vectors and stochastic processes

  Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz, R. J. Villanueva. 2019. Autoria. Docent. Col·lecció Colección Académica. ISBN 9788490488249. Valencia (Espanya). Ed. Universitat Politècnica de València.

Capítols de llibre

• Is It Worthwhile Considering Orthogonality in Generalised Polynomial Chaos Expansions Applied to Solving Stochastic Models?

  Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz, Laura Villafuerte. Computational Mathematics and Applications. Singapore (Singapur). Ed. Springer. 2020. ISBN 9789811584978. Científic.

• PDEs Satisfied by Density Function of Stochastic Integrals

  Julia Calatayud Gregori, Juan Carlos Cortés, Marc Jornet Sanz. Recent Studies in Differential Equations. Series "Mathematics Research Developments". Ed. Nova Science Publishers. 2020. ISBN 9781536183894. Científic.

• Solving Random Ordinary and Partial Dierential Equations through the Probability Density Function. Theory and Computing with Applications

  Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz, A. Navarro Quiles. Modern Mathematics and Mechanics. Fundamentals, Problems and Challenges. Cham (Suïssa). Ed. Springer. 2019. Col·lecció Understanding Complex Systems (UCS). ISBN 9783319967547. Científic.

Aportacions a congressos

• Modeling excess weight in Spain by using deterministic and random differential equations

  Julia Calatayud Gregori. XXIII Mathematical Modeling in Engineering & Human Behaviour 2021 Conference (MME&HB 2021). València (Espanya). 14-07-2021. Científic. 2021. Ed. Autoeditado por Comité congreso; Universitat Politècnica de València. Modeling for Engineering & Human Behaviour 2021. ISBN 9788409362875.

• Mean square analysis of non-autonomous second-order linear differential equations with randomness

  Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz, L. Villafuerte. XX Mathematical Modelling Conference in Engineering & Human Behaviour. València (Espanya). 16-07-2018. Científic. 2018. Ed. Autoeditado por Comité congreso. Modelling for Engineering and Human Behaviour. ISBN 9788409075416.

• Randomizing the von Bertalanffy growth model: Theoretical analysis and computing

  Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz, R. J. Villanueva. XX Mathematical Modelling Conference in Engineering & Human Behaviour. València (Espanya). 16-07-2018. Científic. 2018. Ed. Autoeditado por Comité congreso. Modelling for Engineering and Human Behaviour. ISBN 9788409075416.

• On the computation of the probability density function of the damped pendulum random differential equation

  Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz. 18th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2018). Rota, Cádiz (Espanya). 09-07-2018. Científic. 2018. Ed. Computational and Mathematical Methods in Science and Engineering (CMMSE). Proceedings of 18th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2018). ISBN 9788469778616.

• Uncertainty quantification for parabolic equations on a bounded domain

  Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz. 18th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2018). Rota, Cádiz (Espanya). 09-07-2018. Científic. 2018. Ed. Computational and Mathematical Methods in Science and Engineering (CMMSE). Proceedings of 18th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2018). ISBN 9788469778616.

Altres congressos

• Computing the probability density function of non-stationary solutions for some signicant random dierential equations: Beyond means and variances

  Julia Calatayud Gregori, J. C. Cortés, F. A. Dorini, Marc Jornet Sanz. 2nd International Conference on Mathematical Modelling in Applied Sciences (ICMMAS'19). Belgorod (Rússia). 20-08-2019. Científic. 2019.

• Approximating the probability density function of random differential equations using numerical schemes

  Julia Calatayud Gregori, J. C. Cortés, Marc Jornet Sanz. International Conference on Scientic Computation and Differential Equations (SciCADE2019 Conference). Innsbruck (Àustria). 22-07-2019. Científic. 2019.

• EPOC frágil: ¿Un nuevo fenotipo?

  E. Naval, F. Tarazona, Julia Calatayud Gregori, Marc Jornet Sanz, S. Giraldos, I. Lluch, M. Meseguer, J. J. Ruíz, C. González. 52º Congreso Nacional de la Sociedad Espñola de Neumología y Cirugía Torácica (SEPAR). Santiago de Compostela (Espanya). 13-06-2019. Científic. 2019.

• Modelización matemática de subyacentes cotizados

  Julia Calatayud Gregori. VI Jornadas de Modelización Matemática. València (Espanya). 24-05-2018. Científic. 2018.