Real Herraiz, Teresa Pilar(Universitat Politècnica de València, 2017-11-02)
[ES] Como bien es sabido, en los últimos años se han desarrollado numerosos estudios encaminados a ofrecer un transporte ferroviario más seguro y con altas tasas de confort para los usuarios. Sin embargo, las mayores ...
[EN] Trigonometric matrix functions play a fundamental role in second order differential equations. This work presents an algorithm based on Taylor series for computing the matrix cosine. It uses a backward error analysis ...
Trigonometric matrix functions play a fundamental role in second order differential equation systems. This work presents an algorithm for computing the cosine matrix function based on Taylor series and the cosine double ...
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 ...
Llorca Pellicer, Luis(Universitat Politècnica de València, 2015-11-17)
[ES] El fin de esta investigación es la obtención de las fuerzas de contacto-impacto generadas en el paso de una rueda por una junta. En este trabajo se considera más importante las fuerzas de impacto o sobrecargas generadas ...
[EN] In this work we introduce a new method to compute the matrix cosine. It is based on recent new matrix polynomial evaluation methods for the Taylor approximation and a mixed forward and backward error analysis. The ...
This work presents a new algorithm for matrix exponential computation that significantly simplifies a Taylor scaling and squaring algorithm presented previously by the authors, preserving accuracy. A Matlab version of the ...
Defez Candel, Emilio; Tung, Michael Ming-Sha; Sastre, Jorge(Elsevier, 2011-04-15)
In this paper, we introduce an improved bound on the 2-norm of Hermite matrix polynomials. As a consequence, this estimate enables us to present and prove a matrix version of the Riemann-Lebesgue lemma for Fourier transforms. ...
El objetivo del presente libro es introducir en el estudio del cálculo integral para su posterior aplicación, mediante el uso de métodos básicos del cálculo integral. La intención principal es disponer de herramientas que ...
Hernández Gascón, Pablo(Universitat Politècnica de València, 2015-11-10)
[ES] En el contexto de la sociedad actual, las vibraciones producidas por el ferrocarril suponen una externalidad para la sociedad. Este TFG tiene como objetivo el estudio de dichas vibraciones producidas en un túnel ...
Defez Candel, Emilio; Ibáñez González, Jacinto Javier; Peinado Pinilla, Jesús; Alonso-Jordá, Pedro; Alonso Abalos, José Miguel(Elsevier, 2022-07)
[EN] There are, currently, very few implementations to compute the hyperbolic cosine of a matrix. This work tries to fill this gap. To this end, we first introduce both a new rational-polynomial Hermite matrix expansion ...
Defez Candel, Emilio; Ibáñez González, Jacinto Javier; Alonso Abalos, José Miguel; Peinado Pinilla, Jesús; Alonso-Jordá, Pedro(R. Company, J. C. Cortés, L. Jódar and E. López-Navarro, 2019-07-12)
Sastre, Jorge; Ibáñez González, Jacinto Javier; Defez Candel, Emilio; Ruiz Martínez, Pedro Antonio(Society for Industrial and Applied Mathematics, 2015)
The matrix exponential plays a fundamental role in linear differential equations
arising in engineering, mechanics, and control theory. The most widely used, and the most generally
efficient, technique for calculating ...
Defez Candel, Emilio; Tung ., Michael Ming-Sha; Solis Lozano, Francisco Javier; Ibáñez González, Jacinto Javier(Taylor & Francis, 2015)
Many studies of mechanical systems in engineering are based on second-order matrix models.
This work discusses the second-order generalization of previous research on matrix differential
equations dealing with the ...
This paper deals with the construction of approximate solution of first-order matrix linear differential equations using higher-order matrix splines. An estimation of the approximation error, an algorithm for its implementation ...
Defez Candel, Emilio; Ibáñez González, Jacinto Javier; Alonso-Jordá, Pedro; Alonso Abalos, José Miguel; Peinado Pinilla, Jesús(Elsevier, 2022-04)
[EN] We present in this paper a new method based on Bernoulli matrix polynomials to approximate the exponential of a matrix. The developed method has given rise to two new algorithms whose efficiency and precision are ...
Defez Candel, Emilio; Ibáñez González, Jacinto Javier; Alonso Abalos, José Miguel; Alonso-Jordá, Pedro(John Wiley & Sons, 2022-04)
[EN] This paper presents a new series expansion based on Bernoulli matrix polynomials to approximate the matrix cosine function. An approximation based on this series is not a straightforward exercise since there exist ...
This paper continues with the construction of the exact solution for parabolic coupled of the type u(t) = Au-xx, A(1)u(0, t) + B(1)u(x) (0, t) = 0, A(2)u(l, t) + B(2)u(x) (l, t) = 0, 0 < x < 1, t > 0, and u(x, 0) = f(x) ...
Soler Basauri, Vicente; Defez Candel, Emilio; Ferrer González, María Vicenta; Camacho Vidal, Francisco Javier(Hindawi Publishing Corporation, 2013)
This paper studies the construction of the exact solution for parabolic coupled systems of the type u(t) = Au-xx, A(1)u(0, t) + B(1)u(x)(0, t) = 0, A(2)u(l, t) + B(2)u(x)(l, t) = 0, 0 < x < 1, t > 0, and u(x, 0) = f(x), ...
Defez Candel, Emilio; Ibáñez González, Jacinto Javier; Alonso Abalos, José Miguel; Tung, Michael Ming-Sha; Real-Herraiz, Teresa Pilar(MDPI AG, 2021-09-15)
[EN] Matrix differential equations are at the heart of many science and engineering problems. In this paper, a procedure based on higher-order matrix splines is proposed to provide the approximated numerical solution of ...