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Browsing by Author "Defez Candel, Emilio"

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Browsing by Author "Defez Candel, Emilio"

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    A Matrix Spline Method for a Class of Fourth-Order Ordinary Differential Problems 
    Tung, Michael Ming-Sha; Defez Candel, Emilio; Ibáñez González, Jacinto Javier; Alonso Abalos, José Miguel; Real Herráiz, Julia Irene (MDPI AG, 2022-08-09)
    [EN] Differential matrix models provide an elementary blueprint for the adequate and efficient treatment of many important applications in science and engineering. In the present work, we suggest a procedure, extending our ...
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    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
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    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) ...
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    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 ...
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    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 ...
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    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
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    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 ...
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    Accurate approximation of the Hyperbolic matrix cosine using Bernoulli matrix polynomials 
    Defez Candel, Emilio; Ibáñez González, Jacinto Javier; Alonso Abalos, José Miguel; Peinado Pinilla, Jesús; Sastre, Jorge (Universitat Politècnica de València, 2021-11-30)
    [EN] The evaluation of matrix functions plays an important and relevant role in many scientific applications because matrix functions have proven to be an ecient tool in applications such as reduced order models [1], [2, ...
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    Accurate Approximation of the Matrix Hyperbolic Cosine Using Bernoulli Polynomials 
    Alonso Abalos, José Miguel; Ibáñez González, Jacinto Javier; Defez Candel, Emilio; Alvarruiz Bermejo, Fernando (MDPI AG, 2023-02)
    [EN] This paper presents three different alternatives to evaluate the matrix hyperbolic cosine using Bernoulli matrix polynomials, comparing them from the point of view of accuracy and computational complexity. The first ...
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    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 ...
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    Advances in the Approximation of the Matrix Hyperbolic Tangent 
    Ibáñez González, Jacinto Javier; Alonso Abalos, José Miguel; Sastre, Jorge; Defez Candel, Emilio; Alonso-Jordá, Pedro (MDPI AG, 2021-06)
    [EN] In this paper, we introduce two approaches to compute the matrix hyperbolic tangent. While one of them is based on its own definition and uses the matrix exponential, the other one is focused on the expansion of its ...
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    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 ...
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    An Improved Taylor Algorithm for Computing the Matrix Logarithm 
    Ibáñez González, Jacinto Javier; Sastre, Jorge; Ruíz Martínez, Pedro Antonio; Alonso Abalos, José Miguel; Defez Candel, Emilio (MDPI AG, 2021-09)
    [EN] The most popular method for computing the matrix logarithm is a combination of the inverse scaling and squaring method in conjunction with a Pade approximation, sometimes accompanied by the Schur decomposition. In ...
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    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.
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    Approximating a Special Class of Linear Fourth-Order Ordinary Differential Problems 
    Defez Candel, Emilio; Tung, Michael Ming-Sha; Ibáñez González, Jacinto Javier; Sastre, Jorge (Springer, 2016-06-17)
    [EN] Differential matrix models are an important component of many interesting applications in science and engineering. This work elaborates a procedure to approximate the solutions of special non linear fourth-order matrix ...
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    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 ...
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    Boosting the computation of the matrix exponential 
    Sastre, Jorge; Ibáñez González, Jacinto Javier; Defez Candel, Emilio (Elsevier, 2019-01-01)
    [EN] This paper presents new Taylor algorithms for the computation of the matrix exponential based on recent new matrix polynomial evaluation methods. Those methods are more efficient than the well known Paterson-Stockmeyer ...
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    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 ...
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    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 ...
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    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 ...