Edit Profile (opens in new tab) Calatayud, Julia Co-Author Distance Author ID: calatayud.julia Published as: Calatayud, J.; Calatayud, Julia Documents Indexed: 32 Publications since 2018 Co-Authors: 10 Co-Authors with 32 Joint Publications 344 Co-Co-Authors all top 5 Co-Authors 0 single-authored 29 Cortés López, Juan Carlos 29 Jornet, Marc 3 Villafuerte, Laura 2 Bevia, Vicente J. 2 Burgos, Clara 2 Dorini, Fábio Antonio 2 Le Maître, Olivier P. 2 Navarro Quiles, Ana 1 Caraballo Garrido, Tomás 1 Villanueva, Rafael-Jacinto all top 5 Serials 6 Mathematical Methods in the Applied Sciences 2 Applied Mathematics Letters 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of Difference Equations and Applications 2 Communications in Nonlinear Science and Numerical Simulation 2 Mediterranean Journal of Mathematics 1 Physica A 1 Chaos, Solitons and Fractals 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Stochastic Analysis and Applications 1 Applied Numerical Mathematics 1 Computational and Applied Mathematics 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Advances in Difference Equations 1 Stochastics 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Nonlinear Science and Applications 1 International Journal for Uncertainty Quantification 1 Open Mathematics all top 5 Fields 25 Probability theory and stochastic processes (60-XX) 21 Ordinary differential equations (34-XX) 15 Numerical analysis (65-XX) 8 Biology and other natural sciences (92-XX) 5 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Systems theory; control (93-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 1 Combinatorics (05-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 87 times in 45 Documents Cited by ▼ Year ▼ Random non-autonomous second order linear differential equations: mean square analytic solutions and their statistical properties. Zbl 1448.34118Calatayud, J.; Cortés, J.-C.; Jornet, M.; Villafuerte, L. 8 2018 Improving the approximation of the first- and second-order statistics of the response stochastic process to the random Legendre differential equation. Zbl 1439.60065Calatayud, J.; Cortés, J.-C.; Jornet, M. 7 2019 Uncertainty quantification for random parabolic equations with nonhomogeneous boundary conditions on a bounded domain via the approximation of the probability density function. Zbl 1432.60062Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 6 2019 Constructing reliable approximations of the probability density function to the random heat PDE via a finite difference scheme. Zbl 1435.65118Calatayud, J.; Cortés, J.-C.; Díaz, J. A.; Jornet, M. 5 2020 The damped pendulum random differential equation: a comprehensive stochastic analysis via the computation of the probability density function. Zbl 1514.60065Calatayud, J.; Cortés, J.-C.; Jornet, M. 5 2018 On the convergence of adaptive gPC for non-linear random difference equations: theoretical analysis and some practical recommendations. Zbl 1438.65316Calatayud, J.; Cortés, J.-C.; Jornet, M. 5 2018 Second order linear differential equations with analytic uncertainties: stochastic analysis via the computation of the probability density function. Zbl 1462.60076Jornet, M.; Calatayud, J.; Le Maître, O. P.; Cortés, J.-C. 4 2020 Computational uncertainty quantification for random time-discrete epidemiological models using adaptive gPC. Zbl 1406.92557Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc; Villanueva, Rafael Jacinto 4 2018 On a stochastic logistic population model with time-varying carrying capacity. Zbl 1476.34127Calatayud, J.; Cortés, J.-C.; Dorini, F. A.; Jornet, M. 4 2020 Random differential equations with discrete delay. Zbl 1490.34102Calatayud, J.; Cortés, J.-C.; Jornet, M. 4 2019 An improvement of two nonstandard finite difference schemes for two population mathematical models. Zbl 07355117Calatayud, Julia; Jornet, Marc 4 2021 Computational uncertainty quantification for random non-autonomous second order linear differential equations via adapted gPC: a comparative case study with random Fröbenius method and Monte Carlo simulation. Zbl 1417.34131Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 3 2018 A full probabilistic solution of the random linear fractional differential equation via the random variable transformation technique. Zbl 1406.34008Burgos, C.; Calatayud, J.; Cortés, J.-C.; Navarro-Quiles, A. 3 2018 Computing the density function of complex models with randomness by using polynomial expansions and the RVT technique. Application to the SIR epidemic model. Zbl 1483.65015Calatayud, Julia; Carlos Cortés, Juan; Jornet, Marc 3 2020 Solving random ordinary and partial differential equations through the probability density function: theory and computing with applications. Zbl 1418.35391Calatayud, J.; Cortés, J.-C.; Jornet, M.; Navarro-Quiles, A. 3 2019 Mathematical methods for the randomized non-autonomous Bertalanffy model. Zbl 1451.34058Calatayud, Julia; Caraballo, Tomás; Cortes, Juan Carlos; Jornet, Marc 2 2020 Uncertainty quantification for nonlinear difference equations with dependent random inputs via a stochastic Galerkin projection technique. Zbl 1464.65283Calatayud, J.; Cortés, J.-C.; Jornet, M. 2 2019 Extending the study on the linear advection equation subject to stochastic velocity field and initial condition. Zbl 1510.35407Calatayud, J.; Cortés, J.-C.; Dorini, F. A.; Jornet, M. 2 2020 Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series. Zbl 1392.34004Burgos, C.; Calatayud, J.; Cortés, J.-C.; Villafuerte, L. 2 2018 A modified perturbation method for mathematical models with randomness: an analysis through the steady-state solution to Burgers’ partial differential equation. Zbl 1481.34071Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 2 2021 \(\mathrm{L}^p\)-calculus approach to the random autonomous linear differential equation with discrete delay. Zbl 1417.34198Calatayud, J.; Cortés, J.-C.; Jornet, M. 2 2019 Improving the approximation of the probability density function of random nonautonomous logistic-type differential equations. Zbl 1432.60060Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 1 2019 On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson’s extrapolation. Zbl 1492.65219Calatayud, Julia; Jornet, Marc 1 2022 Is it worthwhile considering orthogonality in generalised polynomial chaos expansions applied to solving stochastic models? Zbl 1491.60072Calatayud, Julia; Cortés, J.-C.; Jornet, Marc; Villafuerte, Laura 1 2020 On the random wave equation within the mean square context. Zbl 1485.35440Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 1 2022 Density function of random differential equations via finite difference schemes: a theoretical analysis of a random diffusion-reaction Poisson-type problem. Zbl 1490.60198Calatayud, J.; Cortés, J.-C.; Díaz, J. A.; Jornet, M. 1 2020 On the generalized logistic random differential equation: theoretical analysis and numerical simulations with real-world data. Zbl 1507.34050Bevia, V.; Calatayud, J.; Cortés, J.-C.; Jornet, M. 1 2023 Variance reduction methods and multilevel Monte Carlo strategy for estimating densities of solutions to random second-order linear differential equations. Zbl 1498.60277Jornet, Marc; Calatayud, Julia; Le Maître, Olivier P.; Cortés, Juan Carlos 1 2020 On the generalized logistic random differential equation: theoretical analysis and numerical simulations with real-world data. Zbl 1507.34050Bevia, V.; Calatayud, J.; Cortés, J.-C.; Jornet, M. 1 2023 On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson’s extrapolation. Zbl 1492.65219Calatayud, Julia; Jornet, Marc 1 2022 On the random wave equation within the mean square context. Zbl 1485.35440Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 1 2022 An improvement of two nonstandard finite difference schemes for two population mathematical models. Zbl 07355117Calatayud, Julia; Jornet, Marc 4 2021 A modified perturbation method for mathematical models with randomness: an analysis through the steady-state solution to Burgers’ partial differential equation. Zbl 1481.34071Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 2 2021 Constructing reliable approximations of the probability density function to the random heat PDE via a finite difference scheme. Zbl 1435.65118Calatayud, J.; Cortés, J.-C.; Díaz, J. A.; Jornet, M. 5 2020 Second order linear differential equations with analytic uncertainties: stochastic analysis via the computation of the probability density function. Zbl 1462.60076Jornet, M.; Calatayud, J.; Le Maître, O. P.; Cortés, J.-C. 4 2020 On a stochastic logistic population model with time-varying carrying capacity. Zbl 1476.34127Calatayud, J.; Cortés, J.-C.; Dorini, F. A.; Jornet, M. 4 2020 Computing the density function of complex models with randomness by using polynomial expansions and the RVT technique. Application to the SIR epidemic model. Zbl 1483.65015Calatayud, Julia; Carlos Cortés, Juan; Jornet, Marc 3 2020 Mathematical methods for the randomized non-autonomous Bertalanffy model. Zbl 1451.34058Calatayud, Julia; Caraballo, Tomás; Cortes, Juan Carlos; Jornet, Marc 2 2020 Extending the study on the linear advection equation subject to stochastic velocity field and initial condition. Zbl 1510.35407Calatayud, J.; Cortés, J.-C.; Dorini, F. A.; Jornet, M. 2 2020 Is it worthwhile considering orthogonality in generalised polynomial chaos expansions applied to solving stochastic models? Zbl 1491.60072Calatayud, Julia; Cortés, J.-C.; Jornet, Marc; Villafuerte, Laura 1 2020 Density function of random differential equations via finite difference schemes: a theoretical analysis of a random diffusion-reaction Poisson-type problem. Zbl 1490.60198Calatayud, J.; Cortés, J.-C.; Díaz, J. A.; Jornet, M. 1 2020 Variance reduction methods and multilevel Monte Carlo strategy for estimating densities of solutions to random second-order linear differential equations. Zbl 1498.60277Jornet, Marc; Calatayud, Julia; Le Maître, Olivier P.; Cortés, Juan Carlos 1 2020 Improving the approximation of the first- and second-order statistics of the response stochastic process to the random Legendre differential equation. Zbl 1439.60065Calatayud, J.; Cortés, J.-C.; Jornet, M. 7 2019 Uncertainty quantification for random parabolic equations with nonhomogeneous boundary conditions on a bounded domain via the approximation of the probability density function. Zbl 1432.60062Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 6 2019 Random differential equations with discrete delay. Zbl 1490.34102Calatayud, J.; Cortés, J.-C.; Jornet, M. 4 2019 Solving random ordinary and partial differential equations through the probability density function: theory and computing with applications. Zbl 1418.35391Calatayud, J.; Cortés, J.-C.; Jornet, M.; Navarro-Quiles, A. 3 2019 Uncertainty quantification for nonlinear difference equations with dependent random inputs via a stochastic Galerkin projection technique. Zbl 1464.65283Calatayud, J.; Cortés, J.-C.; Jornet, M. 2 2019 \(\mathrm{L}^p\)-calculus approach to the random autonomous linear differential equation with discrete delay. Zbl 1417.34198Calatayud, J.; Cortés, J.-C.; Jornet, M. 2 2019 Improving the approximation of the probability density function of random nonautonomous logistic-type differential equations. Zbl 1432.60060Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 1 2019 Random non-autonomous second order linear differential equations: mean square analytic solutions and their statistical properties. Zbl 1448.34118Calatayud, J.; Cortés, J.-C.; Jornet, M.; Villafuerte, L. 8 2018 The damped pendulum random differential equation: a comprehensive stochastic analysis via the computation of the probability density function. Zbl 1514.60065Calatayud, J.; Cortés, J.-C.; Jornet, M. 5 2018 On the convergence of adaptive gPC for non-linear random difference equations: theoretical analysis and some practical recommendations. Zbl 1438.65316Calatayud, J.; Cortés, J.-C.; Jornet, M. 5 2018 Computational uncertainty quantification for random time-discrete epidemiological models using adaptive gPC. Zbl 1406.92557Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc; Villanueva, Rafael Jacinto 4 2018 Computational uncertainty quantification for random non-autonomous second order linear differential equations via adapted gPC: a comparative case study with random Fröbenius method and Monte Carlo simulation. Zbl 1417.34131Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 3 2018 A full probabilistic solution of the random linear fractional differential equation via the random variable transformation technique. Zbl 1406.34008Burgos, C.; Calatayud, J.; Cortés, J.-C.; Navarro-Quiles, A. 3 2018 Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series. Zbl 1392.34004Burgos, C.; Calatayud, J.; Cortés, J.-C.; Villafuerte, L. 2 2018 all cited Publications top 5 cited Publications all top 5 Cited by 60 Authors 18 Cortés López, Juan Carlos 17 Jornet, Marc 9 Calatayud, Julia 5 Villanueva, Rafael-Jacinto 3 Burgos, Clara 3 Hoang, Manh Tuan 3 Navarro Quiles, Ana 2 Bevia, Vicente J. 2 Calatayud Gregori, Julia 2 Caraballo Garrido, Tomás 2 Jornet-Sanz, Marc 2 Khan, Yasir 2 Villafuerte, Laura 1 Almutairi, Abdulwahab 1 Azhar, Waqas Ali 1 Bhattacharjee, Satarupa 1 Bohner, Martin J. 1 Braverman, Elena 1 Cai, Wenjun 1 Carroll, Cody 1 Chen-Charpentier, Benito M. 1 Chen, Han 1 Chen, Yaqing 1 Coll, Carmen 1 Day, Troy 1 Debbouche, Amar 1 Doha, Eid H. 1 Dubey, Paromita 1 Elbaz, Islam M. 1 Ezz-Eldien, Samer S. 1 Faraz, Naeem 1 Gajardo, Álvaro 1 Harrat, Aicha 1 He, Xinyi 1 Kelly, Cónall 1 Le Maître, Olivier P. 1 Li, Xiaodi 1 López-Navarro, Elena 1 Lu, Yisha 1 Lupulescu, Vasile 1 Mansour, Mahmoud Bakheet A. 1 Moscardó-García, Ana 1 Müller, Hans-Georg 1 Nieto Roig, Juan Jose 1 Niu, Lizhi 1 Onitsuka, Masakazu 1 O’Regan, Donal 1 Peng, Dongxue 1 Rodkina, Alexandra 1 Romero-Vivo, Sergio 1 Romero, José Vicente 1 Roselló, María Dolores 1 Sánchez, Elena 1 Sun, Tongtong 1 Vlasic, Andrew Yardley 1 Wang, Yushun 1 Xu, Wei 1 Yoshioka, Hidekazu 1 Zhang, Wenting 1 Zhou, Yidong all top 5 Cited in 28 Serials 4 Chaos, Solitons and Fractals 4 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Computational and Applied Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 2 Stochastic Analysis and Applications 2 Fractals 2 Mathematical Biosciences and Engineering 1 International Journal of Modern Physics B 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Physica A 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Applied Numerical Mathematics 1 International Journal of Computer Mathematics 1 Journal of Difference Equations and Applications 1 Chaos 1 Mathematical Modelling and Analysis 1 Journal of Applied Mathematics and Computing 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 Symmetry 1 Open Mathematics 1 AIMS Mathematics 1 SN Operations Research Forum all top 5 Cited in 17 Fields 22 Ordinary differential equations (34-XX) 21 Probability theory and stochastic processes (60-XX) 14 Numerical analysis (65-XX) 13 Biology and other natural sciences (92-XX) 9 Partial differential equations (35-XX) 7 Systems theory; control (93-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Real functions (26-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year