Casabán, M.C.; Cortés, J.-C.; Jódar Sánchez, Lucas Antonio(Vilnius Gediminas Technical University, 2018)
[EN] This paper deals with the construction of mean square analytic-numerical solution of parabolic partial differential problems where both initial condition and coefficients are stochastic processes. By using a random ...
Casabán, M.-C.; Company Rossi, Rafael; Jódar Sánchez, Lucas Antonio(MDPI AG, 2019-09)
[EN] This paper deals with the construction of numerical solutions of random hyperbolic models with a finite degree of randomness that make manageable the computation of its expectation and variance. The approach is based ...
Casabán Bartual, Mª Consuelo; Company Rossi, Rafael; Jódar Sánchez, Lucas Antonio(John Wiley & Sons, 2020-09-30)
[EN] This paper deals with the construction of numerical stable solutions of random mean square Fisher-Kolmogorov-Petrosky-Piskunov (Fisher-KPP) models with advection. The construction of the numerical scheme is performed ...
Casabán, M.C.; Cortés, J.-C.; Jódar Sánchez, Lucas Antonio(Elsevier, 2018)
[EN] This paper is aimed to extend, the non-autonomous case, the results recently given in the paper [1] for solving autonomous linear and quadratic random matrix differential equations. With this goal, important deterministic ...
Casabán Bartual, Mª Consuelo; Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio(Elsevier, 2016-11)
[EN] In this paper linear and Riccati random matrix differential equations are solved taking advantage of the so called L-p-random calculus. Uncertainty is assumed in coefficients and initial conditions. Existence of the ...
[EN] This paper provides a constructive procedure for the computation of approximate solutions of random time-dependent hyperbolic mean square partial differential problems. Based on the theoretical representation of the ...