[EN] Analysis of electric power systems is required to predict a grid¿s behavior before its design. Several commercial simulators give such information, but it is necessary to pay to use it. This work presents a method to ...
[EN] This contribution is devoted to construct numerical approximations to the solution of the one-dimensional boundary value problem for the heat model with uncertainty in the diffusion coefficient. Approximations are ...
Villafuerte, Laura; Cortés, J. C.(Research India Publications, 2013)
[EN] In this paper the random Differential Transform Method (DTM) is used to solve a time-dependent random linear differential equation. The mean square convergence of the random DTM is proven. Approximations to the mean ...
Cortés López, Juan Carlos; Romero Bauset, José Vicente; Roselló Ferragud, María Dolores; Santamaría Navarro, Cristina(Elsevier, 2011-04)
[EN] This paper deals with the construction of approximate series solutions of random nonlinear diffusion equations where nonlinearity is considered by means of a frank small parameter and uncertainty is introduced through ...
Burgos-Simon, Clara; Cortés, J.-C.; Villafuerte, L.; Villanueva Micó, Rafael Jacinto(Elsevier, 2022-04-01)
[EN] This paper deals with random fractional differential equations of the form, (D0+X)-D-C-X-alpha(t) + A(X) over dot (t) + BX(t) = 0 , t > 0 , with initial conditions, X(0) = C-0 and (X) over dot(0) = C-1 , where ...
[EN] In this paper a complete probabilistic description for the solution of random homogeneous linear second-order differential equations via the computation of its two first probability density functions is given. As a ...
Burgos-Simon, Clara; Cortés, J.-C.; Villafuerte, Laura; Villanueva Micó, Rafael Jacinto(Elsevier, 2018)
[EN] This paper deals with solving the general random (Caputo) fractional linear differential equation under general assumptions on random input data (initial condition, forcing term and diffusion coefficient). Our ...
Casabán, M. C.; Cortés, J. C.; Jódar Sánchez, Lucas Antonio(Elsevier, 2016)
[EN] This paper develops a random mean square Fourier transform approach to solve random partial differential heat problems with nonhomogeneous boundary value conditions. Random mean square operational rules for the random ...
Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio; Company Rossi, Rafael; Villafuerte Altuzar, Laura(Elsevier, 2011-12)
This paper deals with the construction of approximate solutions of a random logistic differential equation whose nonlinear coefficient is assumed to be an analytic stochastic process and the initial condition is a random ...
[EN] This paper deals with the approximate computation of the first probability density function of the solution stochastic process to second-order linear differential equations with random analytic coefficients about ...
[EN] In this contribution, we construct approximations for the density associated with the solution of second-order linear differential equations whose coefficients are analytic stochastic processes about regular-singular ...
Krajnik, Eduard; Montesinos Santalucia, Vicente; Zizler, Peter; Zizler, Vaclav(Akademie věd České republiky, Matematický ústav, 2012-10)
The inverse Fast Fourier Transform is a common procedure to solve a convolution equation provided the transfer function has no zeros on the unit circle. In our paper we generalize this method to the case of a singular ...
Basset Salom, Luisa(Universitat Politècnica de València, 2019-05-17)
This article explains, in an accessible and simple way, the application of the Principle of the Virtual Forces (PFV) to the calculation of statically indeterminate plane-framed structures with elastic and linear behaviour, ...
Zakaraia, Mohammad; Zaher, Hegazy; Ragaa, Naglaa(Universitat Politècnica de València, 2022-01-31)
[EN] The U-shaped assembly lines help to have more flexibility than the straight assembly lines, where the operators can perform tasks in both sides of the line, the entrance and the exit sides. Having more than one operator ...
Vidal Maciá, Antonio Manuel; Alonso-Jordá, Pedro(Elsevier, 2012-11-01)
More than 20 years ago, Rojo published [1] an algorithm for solving linear systems where the matrix is tridiagonal symmetric Toeplitz and diagonal dominant. The technique proposed by Rojo is very efficient, O(n), and has ...
Valero-Herrero, Maria; García Sabater, José Pedro; Vidal-Carreras, Pilar I.; Canós-Darós, Lourdes(Universidad Politécnica de Madrid, 2014-12-01)
[EN] Mixed-model assembly lines are used at the automotive industry to obtain more efficient production flows. The sequencing of the different units is done at the very beginning of the process, but frequently large ...
[EN] We focus on a simplified container stowage planning problem where containers of different size and weight must be loaded and unloaded at multiple ports while maintaining the stability of the ship. We initially investigate ...