## Jornet, Marc

Compute Distance To:
 Author ID: jornet.marc Published as: Jornet, Marc; Jornet, M.
 Documents Indexed: 35 Publications since 2018 Co-Authors: 8 Co-Authors with 29 Joint Publications 309 Co-Co-Authors
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### Co-Authors

 6 single-authored 28 Calatayud, Julia 25 Cortés López, Juan Carlos 2 Dorini, Fábio Antonio 2 Villafuerte, Laura 1 Caraballo Garrido, Tomás 1 Le Maître, Olivier P. 1 Navarro Quiles, Ana 1 Villanueva, Rafael-Jacinto
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### Serials

 6 Mathematical Methods in the Applied Sciences 4 Chaos, Solitons and Fractals 2 Applied Mathematics and Computation 2 Stochastic Analysis and Applications 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of Difference Equations and Applications 2 Mediterranean Journal of Mathematics 1 Physica A 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Applied Numerical Mathematics 1 Computational and Applied Mathematics 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Communications in Nonlinear Science and Numerical Simulation 1 Advances in Difference Equations 1 Stochastics 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Nonlinear Science and Applications 1 Open Mathematics
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### Fields

 24 Probability theory and stochastic processes (60-XX) 21 Ordinary differential equations (34-XX) 19 Numerical analysis (65-XX) 9 Biology and other natural sciences (92-XX) 8 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) 1 Combinatorics (05-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

19 Publications have been cited 49 times in 29 Documents Cited by Year
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.
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.
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
2019
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
2018
Random differential equations with discrete delay. Zbl 1490.34102
Calatayud, J.; Cortés, J.-C.; Jornet, M.
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.
2019
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.
2018
Mathematical methods for the randomized non-autonomous Bertalanffy model. Zbl 1451.34058
Calatayud, Julia; Caraballo, Tomás; Cortes, Juan Carlos; Jornet, Marc
2020
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
2018
$$\mathrm{L}^p$$-calculus approach to the random autonomous linear differential equation with discrete delay. Zbl 1417.34198
Calatayud, J.; Cortés, J.-C.; Jornet, M.
2019
On a stochastic logistic population model with time-varying carrying capacity. Zbl 1476.34127
Calatayud, J.; Cortés, J.-C.; Dorini, F. A.; Jornet, M.
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
2021
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
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.
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.
2020
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.
2019
Modeling of Allee effect in biofilm formation via the stochastic bistable Allen-Cahn partial differential equation. Zbl 1459.35413
Jornet, Marc
2021
An improvement of two nonstandard finite difference schemes for two population mathematical models. Zbl 07355117
Calatayud, Julia; Jornet, Marc
2021
Exact solution to a multidimensional wave equation with delay. Zbl 07425035
Jornet, Marc
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
2021
Modeling of Allee effect in biofilm formation via the stochastic bistable Allen-Cahn partial differential equation. Zbl 1459.35413
Jornet, Marc
2021
An improvement of two nonstandard finite difference schemes for two population mathematical models. Zbl 07355117
Calatayud, Julia; Jornet, Marc
2021
Exact solution to a multidimensional wave equation with delay. Zbl 07425035
Jornet, Marc
2021
Mathematical methods for the randomized non-autonomous Bertalanffy model. Zbl 1451.34058
Calatayud, Julia; Caraballo, Tomás; Cortes, Juan Carlos; Jornet, Marc
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.
2020
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.
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.
2020
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.
2019
Uncertainty quantification for random parabolic equations with nonhomogeneous boundary conditions on a bounded domain via the approximation of the probability density function. Zbl 1432.60062
Calatayud, Julia; Cortés, Juan Carlos; Jornet, Marc
2019
Random differential equations with discrete delay. Zbl 1490.34102
Calatayud, J.; Cortés, J.-C.; Jornet, M.
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.
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.
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
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.
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.
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
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.
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
2018
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### Cited by 45 Authors

 12 Cortés López, Juan Carlos 12 Jornet, Marc 8 Calatayud, Julia 3 Villanueva, Rafael-Jacinto 2 Burgos, Clara 2 Calatayud Gregori, Julia 2 Jornet-Sanz, Marc 2 Khan, Yasir 1 Almutairi, Abdulwahab 1 Appadu, Appanah Rao 1 Azhar, Waqas Ali 1 Bevia, V. 1 Bhattacharjee, Satarupa 1 Bohner, Martin J. 1 Braverman, Elena 1 Carroll, Cody 1 Chen-Charpentier, Benito M. 1 Chen, Han 1 Chen, Yaqing 1 Coll, Carmen 1 Dubey, Paromita 1 Elbaz, I. M. 1 Faraz, Naeem 1 Gajardo, Álvaro 1 González-Parra, Gilberto C. 1 He, Xinyi 1 Kelly, Cónall 1 Kerr, Gilbert 1 Le Maître, Olivier P. 1 Li, Xiaodi 1 López-Navarro, Elena 1 Lupulescu, Vasile 1 Moscardó-García, A. 1 Müller, Hans-Georg 1 Navarro Quiles, Ana 1 Onitsuka, Masakazu 1 O’Regan, Donal 1 Peng, Dongxue 1 Rodkina, Alexandra 1 Romero-Vivo, Sergio 1 Sánchez, Elena 1 Sohaly, Mohammed A. 1 Tijani, Yusuf O. 1 Villafuerte, Laura 1 Zhou, Yidong
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### Cited in 23 Serials

 4 Chaos, Solitons and Fractals 2 Applied Mathematics and Computation 2 Fractals 1 International Journal of Modern Physics B 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Physica A 1 Demonstratio Mathematica 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Stochastic Analysis and Applications 1 Applied Numerical Mathematics 1 Computational and Applied Mathematics 1 Journal of Difference Equations and Applications 1 Chaos 1 Mathematical Modelling and Analysis 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 Discrete and Continuous Dynamical Systems. Series S 1 Symmetry 1 Open Mathematics 1 AIMS Mathematics
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### Cited in 12 Fields

 14 Ordinary differential equations (34-XX) 13 Probability theory and stochastic processes (60-XX) 11 Numerical analysis (65-XX) 9 Biology and other natural sciences (92-XX) 7 Partial differential equations (35-XX) 4 Systems theory; control (93-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Real functions (26-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)