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Browsing by Author "Defez Candel, Emilio"

Now showing items 1-20 of 36

A method to approximate the hyperbolic sine of a matrix

Defez Candel, Emilio; Sastre, Jorge; Ibáñez González, Jacinto Javier; Peinado Pinilla, Jesús; Tung, Michael Ming-Sha (2014-03)

In this paper a method for computing hyperbolic matrix sine based on Hermite matrix polynomial expansions is presented. An error bound analysis is given
A Method to Solve Non-homogeneous Strongly Coupled Mixed Parabolic Boundary Value Systems with Non-homogeneous Boundary Conditions

Soler Basauri, Vicente; Defez Candel, Emilio; Capilla Lladró, Roberto (Hikari, 2015)

In this paper, a method to construct the solution of non-homogeneous parabolic coupled systems with non-homogeneous boundary conditions of the type ut−Auxx = G(x, t), A1u(0, t)+B1ux(0, t) = P(t), A2u(l, t)+ B2ux(l, t) ...
A new efficient and accurate spline algorithm for the matrix exponential computation

Defez Candel, Emilio; Ibáñez González, Jacinto Javier; Sastre, Jorge; Peinado Pinilla, Jesús; Alonso-Jordá, Pedro (Elsevier, 2018)

[EN] In this work an accurate and efficient method based on matrix splines for computing matrix exponential is given. An algorithm and a MATLAB implementation have been developed and compared with the state-of-the-art ...
A new type of Hermite matrix polynomial series

Defez Candel, Emilio; Tung, Michael Ming-Sha (Informa UK (National Inquiry Services Center), 2018)

[EN] Conventional Hermite polynomials emerge in a great diversity of applications in mathematical physics, engineering, and related fields. However, in physical systems with higher degrees of freedom it will be of practical ...
A Rodrigues-type formula for Gegenbauer matrix polynomials

Defez Candel, Emilio (Elsevier, 2013-08)

This paper centers on the derivation of a Rodrigues-type formula for the Gegenbauer matrix polynomial. A connection between Gegenbauer and Jacobi matrix polynomials is given
Accurate and efficient matrix exponential computation

Sastre, Jorge; Ibáñez González, Jacinto Javier; Ruiz Martínez, Pedro Antonio; Defez Candel, Emilio (Taylor & Francis (Routledge): STM, Behavioural Science and Public Health Titles, 2014-01)

[EN] This work gives a new formula for the forward relative error of matrix exponential Taylor approximation and proposes new bounds for it depending on the matrix size and the Taylor approximation order, providing a new ...
Accurate matrix exponential computation to solve coupled differential models in engineering

Sastre, Jorge; Ibáñez González, Jacinto Javier; Defez Candel, Emilio; Ruiz Martínez, Pedro Antonio (Elsevier, 2011-10)

The matrix exponential plays a fundamental role in linear systems arising in engineering, mechanics and control theory. This work presents a new scaling-squaring algorithm for matrix exponential computation. It uses forward ...
An efficient and accurate algorithm for computing the matrix cosine based on New Hermite approximations

Defez Candel, Emilio; Ibáñez González, Jacinto Javier; Peinado Pinilla, Jesús; Sastre, Jorge; Alonso-Jordá, Pedro (Elsevier, 2019-03-01)

[EN] In this work we introduce new rational-polynomial Hermite matrix expansions which allow us to obtain a new accurate and efficient method for computing the matrix cosine. This method is compared with other state-of-the-art ...
Application of Laguerre matrix polynomials to the numerical inversion of Laplace transforms of matrix functions

Sastre, Jorge; Defez Candel, Emilio; Jódar Sánchez, Lucas Antonio (Elsevier, 2011-09)

This paper presents an application of Laguerre matrix polynomial series to the numerical inversion of Laplace transforms of matrix functions. © 2011 Elsevier Ltd. All rights reserved.
Approximating and computing nonlinear matrix differential models

Defez Candel, Emilio; Tung ., Michael Ming-Sha; Ibáñez González, Jacinto Javier; Sastre, Jorge (Elsevier, 2012-04)

Differential matrix models are an essential ingredient of many important scientific and engineering applications. In this work, we propose a procedure to represent the solutions of first-order matrix differential equations ...
Computing matrix functions arising in engineering models with orthogonal matrix polynomials

Defez Candel, Emilio; Sastre, Jorge; Ibáñez González, Jacinto Javier; Ruiz Martínez, Pedro Antonio (Elsevier, 2013-04)

Trigonometric matrix functions play a fundamental role in the solution of second order differential equations. Hermite series truncation together with Paterson¿Stockmeyer method and the double angle formula technique ...
Computing matrix functions solving coupled differential models

Defez Candel, Emilio; Sastre, Jorge; Ibáñez González, Jacinto Javier; Ruiz Martínez, Pedro Antonio (Elsevier, 2009)

In this paper a modification of the method proposed in [E. Defez, L. Jódar, Some applications of Hermite matrix polynomials series expansions, Journal of Computational and Applied Mathematics 99 (1998) 105–117] for ...
Computing Matrix Trigonometric Functions with GPUs through Matlab

Alonso-Jordá, Pedro; Peinado Pinilla, Jesús; Ibáñez González, Jacinto Javier; Sastre, Jorge; Defez Candel, Emilio (Springer-Verlag, 2019-03)

[EN] This paper presents an implementation of one of the most up-to-day algorithms proposed to compute the matrix trigonometric functions sine and cosine. The method used is based on Taylor series approximations which ...
Diseño de un nuevo sistema automático de detección temprana de defectos en ruedas ferroviarias basado en técnicas de análisis vibratorio. Aplicación a un tramo de vía en la estación de Sant Andreu de la Barca (Barcelona)

Real Herraiz, Teresa Pilar (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 ...
Efficient and accurate algorithms for computing matrix trigonometric functions

Alonso-Jordá, Pedro; Ibáñez González, Jacinto Javier; Sastre Martinez, Jorge; Peinado Pinilla, Jesús; Defez Candel, Emilio (Elsevier, 2017-01)

[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 ...
Efficient computation of the matrix cosine

Sastre, Jorge; Ibáñez González, Jacinto Javier; Ruiz Martínez, Pedro Antonio; Defez Candel, Emilio (Elsevier, 2013-03-15)

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 ...
Efficient orthogonal matrix polynomial based method for computing matrix exponential

Sastre, Jorge; Ibáñez González, Jacinto Javier; Defez Candel, Emilio; Ruiz Martínez, Pedro Antonio (Elsevier, 2011-03-15)

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 ...
Estudio de la influencia de la junta ferroviaria en la generación de vibraciones y sobrecargas dinámicas. Aplicación al tramo de vía Xàtiva-Alcoi.

Llorca Pellicer, Luis (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 ...
Fast Taylor polynomial evaluation for the computation of the matrix cosine

Sastre, Jorge; Ibáñez González, Jacinto Javier; Alonso-Jordá, Pedro; Peinado Pinilla, Jesús; Defez Candel, Emilio (Elsevier, 2019-07)

[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 ...
High performance computing of the matrix exponential

Ruiz Martínez, Pedro Antonio; Sastre Martinez, Jorge; Ibáñez González, Jacinto Javier; Defez Candel, Emilio (Elsevier, 2016-01)

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 ...