In this paper a method for computing hyperbolic matrix sine based
on Hermite matrix polynomial expansions is presented. An error bound analysis is
given
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) ...
[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 ...
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 ...
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
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 ...
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 ...
[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 ...
[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 ...
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 ...
[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 ...
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 ...
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 ...
[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 ...
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 ...