Tung ., Michael Ming-Sha(European Physical Society, 2012)
[EN] Transformation acoustics centers on the construction of advanced acoustic devices by
combining mathematical transformation techniques with the engineering of acoustic metamaterials. We show how di¿erential-geometric ...
In this paper a method for computing hyperbolic matrix sine based
on Hermite matrix polynomial expansions is presented. An error bound analysis is
given
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 ...
Tung, Michael Ming-Sha; Weinmüller, Ewa B.(Elsevier, 2019-01-15)
[EN] Recent developments in acoustic metamaterial engineering have led to the design and fabrication of devices with formidable properties, such as acoustic cloaking, superlenses and ultra-sound waves. Artificial materials ...
Tung, Michael Ming-Sha; Gambi, José M.; María Luisa García del Pino(Springer, 2016-06-17)
[EN] In this work, we will consider a locally homogeneous and isotropic (2+1)D spacetime of Robertson-Walker type and therefore with underlying de Sitter space.
[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 ...
Acedo Rodríguez, Luis; Tung, Michael Ming-Sha(European Physical Society, 2012-09)
The gravitational redshift forms the central part of the majority of the classical tests for the general theory of relativity. It could be successfully checked even in laboratory experiments on the earths surface. The ...
Tung, Michael Ming-Sha; Weinmüller, Ewa Barbara(European Physical Society, 2013-03)
In metamaterial acoustics, it is conceivable that any type of fine-tuned acoustic properties far beyond those found in nature may be transferred to an appropriate medium. Effective design and engineering of these modern ...
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. ...
[EN] The Einstein cylinder is the first cosmological model for our universe in modern history. Its geometry not only describes a static universe-a universe being invariant under time reversal-but it is also the prototype ...
[EN] Novel advances in the field of metamaterial research have permitted the engineering of devices with extraordinary characteristics. Here, we explore the possibilities in transformation acoustics to implement a model ...
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 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 ...
Defez Candel, Emilio; Tung, Michael Ming-Sha; Chen-Charpentier, Benito M.; Alonso Abalos, José Miguel(MDPI AG, 2019-12)
[EN] Matrix exponentials are widely used to efficiently tackle systems of linear differential equations. To be able to solve systems of fractional differential equations, the Caputo matrix exponential of the index a > 0 ...
[EN] This work deals with the simulation of a two¿dimensional ideal lattice having simple tetragonal geometry. The harmonic character of the oscillators give rise to a system of second¿order linear differential equations, ...
Tung, Michael Ming-Sha(Universitat Politècnica de València, 2013-09-02)
El objetivo de esta tesis doctoral es desarrollar nuevos métodos basados en splines para la resolución de sistemas de ecuaciones diferenciales del tipo
Y'(x)=f(x,Y(x)) , a<x<b
Y(a)=Y_a (1)
donde Y_a, Y(x) ...
García Meca, Carlos; Tung, Michael Ming-Sha; Galán Conejos, José Vicente; Ortuño Molinero, Rubén; Rodríguez Fortuño, Francisco José; Martí Sendra, Javier; Martínez Abietar, Alejandro José(2011)
[EN] We study the reflection properties of squeezing devices based on transformation optics. An analytical expression for the angle-dependent reflection coefficient of a generic three-dimensional squeezer is derived. In ...