Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio; Romero Bauset, José Vicente; Roselló Ferragud, María Dolores(Elsevier, 2011-11)
The aim of this paper is twofold. First, we deal with the extension to the random framework of the piecewise Fröbenius method to solve Airy differential equations. This extension is based on mean square stochastic calculus. ...
Almenar, P.; Jódar Sánchez, Lucas Antonio(Elsevier, 2011-04)
This paper presents a Lyapunov-type inequality for the second order nonlinear equation (r(x)y')' + p(x)f(y(x)) = 0, with r(x), p(x) > 0 and f(y) odd and positive for y > O. It also compares it with similar results. (C) ...
Gustincic, Jan; Garcia-Raffi, Lluís M.(Universitat Politècnica de València, 2013-06-02)
[EN] The purpose of this paper is to develop and investigate a non-linear model for analysing the reaction of a self-detachable cabin monocable ropeway exposed to a sudden deceleration and wind forces. The First and Second ...
Casabán Bartual, Mª Consuelo; Cortés López, Juan Carlos; García Mora, María Belén; Jódar Sánchez, Lucas Antonio(Hindawi Publishing Corporation, 2013)
[EN] This paper deals with the analytic-numerical solution of random heat problems for the temperature distribution in a semi-infinite bar with different boundary value conditions. We apply a random Fourier sine and cosine ...
[EN] Hierarchical matrices are a numerical tool for representing, in a sparse way and in a linear-logarithmic storage cost, dense problems that arise in integral and partial differential equations. For some basic linear ...
Almenar, Pedro; Jódar Sánchez, Lucas Antonio(Elsevier, 2011-07)
This paper presents integral criteria to determine the asymptotic behaviour of the solutions of second order nonlinear differential equations of the type y¿(x)+q(x)f(y(x))=0, with q(x)>0 and f(y) odd and positive for y>0, ...
Cortés López, Juan Carlos; Romero Bauset, José Vicente; Roselló Ferragud, María Dolores; Villanueva Micó, Rafael Jacinto(Hindawi Publishing Corporation, 2013)
The consideration of uncertainty in differential equations leads to the emergent area of random differential equations. Under this approach, inputs become random variables and/or stochastic processes. Often one assumes ...
Casabán Bartual, Mª Consuelo; Cortés López, Juan Carlos; Romero Bauset, José Vicente; Roselló Ferragud, María Dolores(Hindawi Publishing Corporation, 2014)
Deterministic differential equations are useful tools for mathematical modelling. The consideration of uncertainty into their formulation leads to random differential equations. Solving a random differential equation means ...
[EN] In this paper, numerical methods for the solution of linear singular differential system are analyzed. The numerical solution of initial value problem by means of a corresponding finite difference approach and a ...
[EN] The purpose of the Ph.D. Thesis "Dynamics of strongly continuous semigroups associated to certain differential equations'' is to analyse, from the point of view of functional analysis, the dynamics of solutions of ...
The matrix exponential plays a fundamental role in the solution of differential systems which appear in different science fields. This paper presents an efficient method for computing matrix exponentials based on Hermite ...
Cortés López, Juan Carlos; Sánchez-Sánchez, Almudena; Santonja, Francisco; Villanueva Micó, Rafael Jacinto(Elsevier, 2011-11)
In this paper we describe epiModel, a code developed in Mathematica that facilitates the building of systems of differential equations corresponding to type-epidemiological linear or quadratic models whose characteristics ...
Pérez-Aparicio, José L.; Ripoll, L.(Elsevier, 2011)
An integrated general formulation for the analysis and design of flywheel rotors made out of composite material is developed. To have an accurate estimation of stresses in the rotor, all the effects present in the literature ...
This paper presents the use of an iteration method to solve the identifiability problem for a class of discretized linear partial differential algebraic equations. This technique consists in replacing the partial derivatives ...
Almenar, Pedro; Jódar Sánchez, Lucas Antonio(Hindawi Publishing Corporation, 2016)
[EN] This paper presents a modification of a recursive method described in a previous paper of the authors, which yields necessary and
sufficient conditions for the existence of solutions of a class of 𝑛�th-order linear ...
[ES] Esta tesis trata sobre la integración numérica de sistemas hamiltonianos con potenciales explícitamente dependientes del tiempo. Los problemas de este tipo son comunes en la física matemática, porque provienen de la ...
Marmolejo, Eugenia; Riestra, Jesús A.(Universitat Politècnica de València, 2013-06-02)
[EN] Our interest in mathematical parameters arises from the great use they have in practical problems that can be described by mathematical models. Parameters allows to modify properties of functions and therefore of ...
This paper deals with the construction of numerical methods of random initial value problems. Random linear multistep methods are presented and sufficient conditions for their mean square convergence are established. Main ...
Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio; Villafuerte Altuzar, Laura; Company Rossi, Rafael(Elsevier, 2011-10)
This paper deals with the construction of a numerical solution of random initial value problems by means of a random improved Euler method. Conditions for the mean square convergence of the proposed method are established. ...
This paper presents a method for constructing polynomial approximations of the solutions of nonlinear initial value systems of differential equations. Given an a priori chosen accuracy, the degree of the vector polynomial ...