Edit Profile (opens in new tab) Calatayud, Julia Co-Author Distance Author ID: calatayud.julia Published as: Calatayud, Julia; Calatayud, J. Documents Indexed: 37 Publications since 2018, including 3 Additional arXiv Preprints Co-Authors: 10 Co-Authors with 36 Joint Publications 368 Co-Co-Authors all top 5 Co-Authors 1 single-authored 33 Cortés López, Juan Carlos 33 Jornet, Marc 3 Dorini, Fábio Antonio 3 Villafuerte, Laura 2 Bevia, Vicente J. 2 Burgos, Clara 2 Le Maître, Olivier P. 2 Navarro Quiles, Ana 1 Caraballo Garrido, Tomás 1 Villanueva, Rafael-Jacinto all top 5 Serials 7 Mathematical Methods in the Applied Sciences 2 Applied Mathematics Letters 2 Electronic Journal of Differential Equations (EJDE) 2 Computational and Applied Mathematics 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 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 29 Probability theory and stochastic processes (60-XX) 25 Ordinary differential equations (34-XX) 17 Numerical analysis (65-XX) 9 Biology and other natural sciences (92-XX) 5 Partial differential equations (35-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Systems theory; control (93-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 1 Combinatorics (05-XX) 1 Special functions (33-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 30 Publications have been cited 144 times in 76 Documents Cited by ▼ Year ▼ Random non-autonomous second order linear differential equations: mean square analytic solutions and their statistical properties. Zbl 1448.34118 Calatayud, J.; Cortés, J.-C.; Jornet, M.; Villafuerte, L. 12 2018 Uncertainty quantification for random parabolic equations with nonhomogeneous boundary conditions on a bounded domain via the approximation of the probability density function. Zbl 1432.60062 Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 10 2019 Improving the approximation of the first- and second-order statistics of the response stochastic process to the random Legendre differential equation. Zbl 1439.60065 Calatayud, J.; Cortés, J.-C.; Jornet, M. 9 2019 The damped pendulum random differential equation: a comprehensive stochastic analysis via the computation of the probability density function. Zbl 1514.60065 Calatayud, J.; Cortés, J.-C.; Jornet, M. 8 2018 On the convergence of adaptive gPC for non-linear random difference equations: theoretical analysis and some practical recommendations. Zbl 1438.65316 Calatayud, J.; Cortés, J.-C.; Jornet, M. 7 2018 Random differential equations with discrete delay. Zbl 1490.34102 Calatayud, J.; Cortés, J.-C.; Jornet, M. 7 2019 Uncertainty quantification for nonlinear difference equations with dependent random inputs via a stochastic Galerkin projection technique. Zbl 1464.65283 Calatayud, J.; Cortés, J.-C.; Jornet, M. 6 2019 Constructing reliable approximations of the probability density function to the random heat PDE via a finite difference scheme. Zbl 1435.65118 Calatayud, J.; Cortés, J.-C.; Díaz, J. A.; Jornet, M. 6 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 1483.65015 Calatayud, Julia; Carlos Cortés, Juan; Jornet, Marc 6 2020 A full probabilistic solution of the random linear fractional differential equation via the random variable transformation technique. Zbl 1406.34008 Burgos, C.; Calatayud, J.; Cortés, J.-C.; Navarro-Quiles, A. 6 2018 Computational uncertainty quantification for random time-discrete epidemiological models using adaptive gPC. Zbl 1406.92557 Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc; Villanueva, Rafael Jacinto 6 2018 On the generalized logistic random differential equation: theoretical analysis and numerical simulations with real-world data. Zbl 1507.34050 Bevia, V.; Calatayud, J.; Cortés, J.-C.; Jornet, M. 5 2023 Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series. Zbl 1392.34004 Burgos, C.; Calatayud, J.; Cortés, J.-C.; Villafuerte, L. 5 2018 An improvement of two nonstandard finite difference schemes for two population mathematical models. Zbl 07355117 Calatayud, Julia; Jornet, Marc 5 2021 On a stochastic logistic population model with time-varying carrying capacity. Zbl 1476.34127 Calatayud, J.; Cortés, J.-C.; Dorini, F. A.; Jornet, M. 5 2020 A modified perturbation method for mathematical models with randomness: an analysis through the steady-state solution to Burgers’ partial differential equation. Zbl 1481.34071 Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 5 2021 \(\mathrm{L}^p\)-calculus approach to the random autonomous linear differential equation with discrete delay. Zbl 1417.34198 Calatayud, J.; Cortés, J.-C.; Jornet, M. 5 2019 Improving the approximation of the probability density function of random nonautonomous logistic-type differential equations. Zbl 1432.60060 Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 4 2019 Second order linear differential equations with analytic uncertainties: stochastic analysis via the computation of the probability density function. Zbl 1462.60076 Jornet, M.; Calatayud, J.; Le Maître, O. P.; Cortés, J.-C. 4 2020 Extending the study on the linear advection equation subject to stochastic velocity field and initial condition. Zbl 1510.35407 Calatayud, J.; Cortés, J.-C.; Dorini, F. A.; Jornet, M. 4 2020 Solving random ordinary and partial differential equations through the probability density function: theory and computing with applications. Zbl 1418.35391 Calatayud, J.; Cortés, J.-C.; Jornet, M.; Navarro-Quiles, A. 4 2019 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 1417.34131 Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 3 2018 On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson’s extrapolation. Zbl 1492.65219 Calatayud, Julia; Jornet, Marc 2 2022 Mathematical methods for the randomized non-autonomous Bertalanffy model. Zbl 1451.34058 Calatayud, Julia; Caraballo, Tomás; Cortes, Juan Carlos; Jornet, Marc 2 2020 Dealing with variability in ecological modelling: an analysis of a random non-autonomous logistic population model. Zbl 1527.92035 Calatayud, Julia; Cortés, Juan Carlos; Dorini, Fábio A.; Jornet, Marc 2 2022 On the random wave equation within the mean square context. Zbl 1485.35440 Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 2 2022 Is it worthwhile considering orthogonality in generalised polynomial chaos expansions applied to solving stochastic models? Zbl 1491.60072 Calatayud, 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 1490.60198 Calatayud, 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 1498.60277 Jornet, Marc; Calatayud, Julia; Le Maître, Olivier P.; Cortés, Juan Carlos 1 2020 Approximate solutions of randomized non-autonomous complete linear differential equations via probability density functions. Zbl 1486.60072 Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 1 2019 On the generalized logistic random differential equation: theoretical analysis and numerical simulations with real-world data. Zbl 1507.34050 Bevia, V.; Calatayud, J.; Cortés, J.-C.; Jornet, M. 5 2023 On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson’s extrapolation. Zbl 1492.65219 Calatayud, Julia; Jornet, Marc 2 2022 Dealing with variability in ecological modelling: an analysis of a random non-autonomous logistic population model. Zbl 1527.92035 Calatayud, Julia; Cortés, Juan Carlos; Dorini, Fábio A.; Jornet, Marc 2 2022 On the random wave equation within the mean square context. Zbl 1485.35440 Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 2 2022 An improvement of two nonstandard finite difference schemes for two population mathematical models. Zbl 07355117 Calatayud, Julia; Jornet, Marc 5 2021 A modified perturbation method for mathematical models with randomness: an analysis through the steady-state solution to Burgers’ partial differential equation. Zbl 1481.34071 Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 5 2021 Constructing reliable approximations of the probability density function to the random heat PDE via a finite difference scheme. Zbl 1435.65118 Calatayud, J.; Cortés, J.-C.; Díaz, J. A.; Jornet, M. 6 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 1483.65015 Calatayud, Julia; Carlos Cortés, Juan; Jornet, Marc 6 2020 On a stochastic logistic population model with time-varying carrying capacity. Zbl 1476.34127 Calatayud, J.; Cortés, J.-C.; Dorini, F. A.; Jornet, M. 5 2020 Second order linear differential equations with analytic uncertainties: stochastic analysis via the computation of the probability density function. Zbl 1462.60076 Jornet, M.; Calatayud, J.; Le Maître, O. P.; Cortés, J.-C. 4 2020 Extending the study on the linear advection equation subject to stochastic velocity field and initial condition. Zbl 1510.35407 Calatayud, J.; Cortés, J.-C.; Dorini, F. A.; Jornet, M. 4 2020 Mathematical methods for the randomized non-autonomous Bertalanffy model. Zbl 1451.34058 Calatayud, Julia; Caraballo, Tomás; Cortes, Juan Carlos; Jornet, Marc 2 2020 Is it worthwhile considering orthogonality in generalised polynomial chaos expansions applied to solving stochastic models? Zbl 1491.60072 Calatayud, 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 1490.60198 Calatayud, 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 1498.60277 Jornet, Marc; Calatayud, Julia; Le Maître, Olivier P.; Cortés, Juan Carlos 1 2020 Uncertainty quantification for random parabolic equations with nonhomogeneous boundary conditions on a bounded domain via the approximation of the probability density function. Zbl 1432.60062 Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 10 2019 Improving the approximation of the first- and second-order statistics of the response stochastic process to the random Legendre differential equation. Zbl 1439.60065 Calatayud, J.; Cortés, J.-C.; Jornet, M. 9 2019 Random differential equations with discrete delay. Zbl 1490.34102 Calatayud, J.; Cortés, J.-C.; Jornet, M. 7 2019 Uncertainty quantification for nonlinear difference equations with dependent random inputs via a stochastic Galerkin projection technique. Zbl 1464.65283 Calatayud, J.; Cortés, J.-C.; Jornet, M. 6 2019 \(\mathrm{L}^p\)-calculus approach to the random autonomous linear differential equation with discrete delay. Zbl 1417.34198 Calatayud, J.; Cortés, J.-C.; Jornet, M. 5 2019 Improving the approximation of the probability density function of random nonautonomous logistic-type differential equations. Zbl 1432.60060 Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 4 2019 Solving random ordinary and partial differential equations through the probability density function: theory and computing with applications. Zbl 1418.35391 Calatayud, J.; Cortés, J.-C.; Jornet, M.; Navarro-Quiles, A. 4 2019 Approximate solutions of randomized non-autonomous complete linear differential equations via probability density functions. Zbl 1486.60072 Calatayud, 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 1448.34118 Calatayud, J.; Cortés, J.-C.; Jornet, M.; Villafuerte, L. 12 2018 The damped pendulum random differential equation: a comprehensive stochastic analysis via the computation of the probability density function. Zbl 1514.60065 Calatayud, J.; Cortés, J.-C.; Jornet, M. 8 2018 On the convergence of adaptive gPC for non-linear random difference equations: theoretical analysis and some practical recommendations. Zbl 1438.65316 Calatayud, J.; Cortés, J.-C.; Jornet, M. 7 2018 A full probabilistic solution of the random linear fractional differential equation via the random variable transformation technique. Zbl 1406.34008 Burgos, C.; Calatayud, J.; Cortés, J.-C.; Navarro-Quiles, A. 6 2018 Computational uncertainty quantification for random time-discrete epidemiological models using adaptive gPC. Zbl 1406.92557 Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc; Villanueva, Rafael Jacinto 6 2018 Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series. Zbl 1392.34004 Burgos, C.; Calatayud, J.; Cortés, J.-C.; Villafuerte, L. 5 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 1417.34131 Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc 3 2018 all cited Publications top 5 cited Publications all top 5 Cited by 108 Authors 27 Cortés López, Juan Carlos 25 Jornet, Marc 16 Calatayud, Julia 6 Navarro Quiles, Ana 5 Villanueva, Rafael-Jacinto 4 Burgos, Clara 4 Hoang, Manh Tuan 4 Khan, Yasir 3 Caraballo Garrido, Tomás 2 Bevia, Vicente J. 2 Calatayud Gregori, Julia 2 Castro, M. Ángeles 2 Ezz-Eldien, Samer S. 2 Jornet-Sanz, Marc 2 Villafuerte, Laura 2 Yoshioka, Hidekazu 1 Almutairi, Abdulwahab 1 Alraddadi, R. 1 Avalos, Josep Bonet 1 Azhar, Waqas Ali 1 Baltazar-Larios, Fernando 1 Barrientos, Mauricio A. 1 Bhattacharjee, Satarupa 1 Bohner, Martin J. 1 Braverman, Elena 1 Cai, Wenjun 1 Carroll, Cody 1 Chen-Charpentier, Benito Miguel 1 Chen, Han 1 Chen, Yaqing 1 Coll, Carmen 1 Day, Troy 1 Debbouche, Amar 1 Delgado-Vences, Francisco J. 1 Díaz-Infante, Saúl 1 Doha, Eid H. 1 Dorini, Fábio Antonio 1 Dubey, Paromita 1 El-Hadidy, Mohamed Abd Allah 1 El-Metwally, Hamdy A. 1 Elbaz, Islam M. 1 Falsone, Giovanni 1 Faraz, Naeem 1 Gajardo, Álvaro 1 Ganji, Davood Domiri 1 Gomez, Eduardo Lince 1 Harrat, Aicha 1 He, Xinyi 1 Jalili, Bahram 1 Jalili, Payam 1 Kelly, Cónall 1 Lachachi, Fatima Z. 1 Laudani, Rossella 1 Le Maître, Olivier P. 1 Lemos-Paião, Ana P. 1 Li, Lijie 1 Li, Xiaodi 1 López-Navarro, Elena 1 Lu, Yisha 1 Lupulescu, Vasile 1 Ma, Xintong 1 Maksimov, Vladimir Petrovich 1 Mansour, Mahmoud Bakheet A. 1 Masullo, Fabrizio 1 Maurer, Helmut 1 Medjahdi, Ikram 1 Moscardó-García, Ana 1 Müller, Hans-Georg 1 Nane, Erkan 1 Ngo Van Hoa 1 Ngo, Thi Kim Quy 1 Ngoc Tran Bao 1 Nguyen Dinh Phu 1 Nguyen Huy Tuan 1 Nieto Roig, Juan Jose 1 Niu, Lizhi 1 Nouri, Kazem 1 Onitsuka, Masakazu 1 O’Regan, Donal 1 Ossandón, Sebastián 1 Pan, Weiquan 1 Peng, Dongxue 1 Ranjbar, Hassan 1 Reyes, Camilo 1 Rezaeian, Amirhossein 1 Rodkina, Alexandra 1 Romero-Vivo, Sergio 1 Romero, José Vicente 1 Roselló, María Dolores 1 Sánchez, Elena 1 Sferle, Sorina-Madalina 1 Silva, Cristiana J. 1 Sirvent, Antonio 1 Sohaly, Mohamed A. 1 Sun, Tongtong 1 Torkzadeh, Leila 1 Torres, Delfim Fernando Marado 1 Tran, Dinh Hung 1 Vlasic, Andrew Yardley 1 Vu, Ho ...and 8 more Authors all top 5 Cited in 41 Serials 12 Mathematical Methods in the Applied Sciences 8 Communications in Nonlinear Science and Numerical Simulation 5 Computational and Applied Mathematics 4 Chaos, Solitons and Fractals 4 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 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 International Journal for Numerical Methods in Engineering 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 Electronic Journal of Differential Equations (EJDE) 1 Journal of Difference Equations and Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Chaos 1 Natural Resource Modeling 1 Mathematical Modelling and Analysis 1 Journal of Applied Mathematics and Computing 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Chinese Journal of Physics (Taipei) 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Symmetry 1 S\(\vec{\text{e}}\)MA Journal 1 Mathematical Sciences 1 Open Mathematics 1 AIMS Mathematics 1 Mathematical Foundations of Computing 1 Vestnik Rossiĭskikh Universitetov. Matematika 1 SN Operations Research Forum 1 Journal of Computational and Theoretical Transport 1 Stat all top 5 Cited in 24 Fields 36 Ordinary differential equations (34-XX) 35 Probability theory and stochastic processes (60-XX) 24 Numerical analysis (65-XX) 21 Biology and other natural sciences (92-XX) 13 Partial differential equations (35-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Systems theory; control (93-XX) 6 Statistics (62-XX) 4 Real functions (26-XX) 4 Approximations and expansions (41-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Special functions (33-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Difference and functional equations (39-XX) 2 Fluid mechanics (76-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year