J. Calatayud

Available identifiers

zbMath Open calatayud.juliaMaRDI QIDQ1693639

List of research outcomes

Publication	Date of Publication	Type
A note on the mean-square solution of the hypergeometric differential equation with uncertainties	2024-04-11	Paper
Dealing with variability in ecological modelling: An analysis of a random non‐autonomous logistic population model	2023-12-19	Paper
Probabilistic analysis of a class of 2D-random heat equations via densities	2023-09-21	Paper
VARIANCE REDUCTION METHODS AND MULTILEVEL MONTE CARLO STRATEGY FOR ESTIMATING DENSITIES OF SOLUTIONS TO RANDOM SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS	2022-11-24	Paper
On the generalized logistic random differential equation: theoretical analysis and numerical simulations with real-world data	2022-10-28	Paper
The damped pendulum random differential equation: a comprehensive stochastic analysis via the computation of the probability density function	2022-07-05	Paper
On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson's extrapolation	2022-06-27	Paper
On the convergence of the mild random walk algorithm to generate random one-factorizations of complete graphs	2022-06-09	Paper
Computing the density function of complex models with randomness by using polynomial expansions and the RVT technique. Application to the SIR epidemic model	2022-03-31	Paper
On the random wave equation within the mean square context	2022-03-22	Paper
Is It Worthwhile Considering Orthogonality in Generalised Polynomial Chaos Expansions Applied to Solving Stochastic Models?	2021-11-22	Paper
A modified perturbation method for mathematical models with randomness: An analysis through the steady‐state solution to Burgers' partial differential equation	2021-10-28	Paper
On a stochastic logistic population model with time-varying carrying capacity	2021-09-10	Paper
An improvement of two nonstandard finite difference schemes for two population mathematical models	2021-06-04	Paper
Extending the study on the linear advection equation subject to stochastic velocity field and initial condition	2021-03-06	Paper
Improvement of random coefficient differential models of growth of anaerobic photosynthetic bacteria by combining Bayesian inference and gPC	2020-11-23	Paper
Uncertainty quantification for nonlinear difference equations with dependent random inputs via a stochastic Galerkin projection technique	2020-10-22	Paper
https://portal.mardi4nfdi.de/entity/Q5118108	2020-09-07	Paper
Second order linear differential equations with analytic uncertainties: stochastic analysis via the computation of the probability density function	2020-03-23	Paper
Uncertainty quantification for random parabolic equations with nonhomogeneous boundary conditions on a bounded domain via the approximation of the probability density function	2020-02-12	Paper
Improving the approximation of the probability density function of random nonautonomous logistic‐type differential equations	2020-02-05	Paper
Random differential equations with discrete delay	2019-08-26	Paper
On the convergence of adaptive gPC for non-linear random difference equations: Theoretical analysis and some practical recommendations	2019-07-22	Paper
https://portal.mardi4nfdi.de/entity/Q5225111	2019-07-19	Paper
Solving Random Ordinary and Partial Differential Equations Through the Probability Density Function: Theory and Computing with Applications	2019-07-18	Paper
Improving the approximation of the first- and second-order statistics of the response stochastic process to the random Legendre differential equation	2019-06-24	Paper
\(\mathrm{L}^p\)-calculus approach to the random autonomous linear differential equation with discrete delay	2019-06-24	Paper
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	2019-06-04	Paper
A full probabilistic solution of the random linear fractional differential equation via the random variable transformation technique	2019-01-31	Paper
Computational uncertainty quantification for random time‐discrete epidemiological models using adaptive gPC	2019-01-31	Paper
Random non-autonomous second order linear differential equations: mean square analytic solutions and their statistical properties	2019-01-30	Paper
Some notes to extend the study on random non-autonomous second order linear differential equations appearing in Mathematical Modeling	2018-11-17	Paper
Approximation of the probability density function of the randomized heat equation with non-homogeneous boundary conditions	2018-05-09	Paper
On the approximation of the probability density function of the randomized heat equation	2018-02-08	Paper
Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series	2018-01-31	Paper

Research outcomes over time

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