Vasconcelos, Paulo B.; d'Almeida, Filomena D.; Román Moltó, José Enrique(Springer Verlag (Germany), 2013-09)
We propose two iterative numerical methods for eigenvalue computations of large dimensional problems arising from finite approximations of integral operators, and describe their parallel implementation. A matrix representation ...
[EN] Mixed-dual formulations of the finite element method were successfully applied to the neutron diffusion equation, such as the Raviart¿Thomas method in Cartesian geometry and the Raviart¿Thomas¿Schneider in hexagonal ...
Romero Alcalde, Eloy; Román Moltó, José Enrique(Association for Computing Machinery (ACM), 2014-02)
In the context of large-scale eigenvalue problems, methods of Davidson type such as Jacobi-Davidson can be competitive with respect to other types of algorithms, especially in some particularly difficult situations such ...
[EN] In this paper, a novel parallel structured divide-and-conquer (DC) algorithm is proposed for symmetric banded eigenvalue
problems, denoted by PBSDC, which modifes the classical parallel banded DC (PBDC) algorithm by ...
Liao, Xia; Li, Shengguo; Lu, Yutong; Román Moltó, José Enrique(Institute of Electrical and Electronics Engineers, 2021-02-01)
[EN] In this article, a parallel structured divide-and-conquer (PSDC) eigensolver is proposed for symmetric tridiagonal matrices based on ScaLAPACK and a parallel structured matrix multiplication algorithm, called PSMMA. ...
Campos, Carmen; Jose E. Roman(Springer-Verlag, 2020-06)
[EN] Large-scale polynomial eigenvalue problems can be solved by Krylov methods operating on an equivalent linear eigenproblem (linearization) of size d center dot n where d is the polynomial degree and n is the problem ...
Hiremath, Varun; Roman, Jose E.(Elsevier, 2023-12-01)
[EN] Closed combustion devices like gas turbines and rockets are prone to thermoacoustic instabilities. Design engineers in the industry need tools to accurately identify and remove instabilities early in the design cycle. ...
Da Silva Sanches de Campos, Carlos Alberto(Universitat Politècnica de València, 2015-03-31)
P
ARA calcular la descomposición en valores singulares (DVS) de una matriz
real densa, los métodos tradicionales empiezan por reducir la matriz a una
forma bidiagonal y seguidamente calculan la DVS de esa matriz ...
Guerrero López, David(Universitat Politècnica de València, 2016-01-07)
[EN] In the field of control theory, sometimes system models of big size (with many state variables) appear. When one of these high order systems needs to be simulated, studied or controlled, it is convenient to perform a ...
Dalvand, Zeynab; Hajarian, Masoud; Román Moltó, José Enrique(John Wiley & Sons, 2020-12)
[EN] Since recent studies have shown that the Cayley transform method can be an effective iterative method for solving the inverse eigenvalue problem, in this work, we consider using an extension of it for solving a type ...
Ramos Peinado, Enrique; Abarca Giménez, Agustín; Román Moltó, José Enrique; Miró Herrero, Rafael(Sociedad Nuclear Española, 2015-09-23)
La descripción detallada del núcleo del reactor tiene cada vez más importancia para
los análisis de seguridad de los Reactores de Agua Ligera (LWR). Gracias a los avances en la
tecnología informática, los diferentes ...
Ramos Peinado, Enrique; Abarca Giménez, Agustín; Román Moltó, José Enrique; Miró Herrero, Rafael(Grupo Senda, 2013)
La paralelización permite el uso de numerosos procesadores (o núcleos) que colaboren en la obtención de la solución a un único problema. Esto no sólo reduce el tiempo de computación, sino que además aumenta la cantidad de ...
Román Moltó, José Enrique(Universitat Politècnica de València, 2016-06-21)
Se describe la asignación estática de tareas mediante la descomposición del dominio. Concretamente, se describe el caso de la distribución de vectores y matrices, tanto en 1D como en 2D, utilizando una distribución por ...
Bernal-Garcia, Alvaro; Román Moltó, José Enrique; Miró Herrero, Rafael; Verdú Martín, Gumersindo Jesús(Elsevier Masson, 2016-11)
The neutron flux spatial distribution in Boiling Water Reactors (BWRs) can be calculated by means of the Neutron Diffusion Equation (NDE), which is a space- and time-dependent differential equation. In steady state conditions, ...
Morató-Rafet, Sergio; Bernal, Á.; Miró Herrero, Rafael; Román Moltó, José Enrique; Verdú Martín, Gumersindo Jesús(Elsevier, 2020-03)
[EN] The method explained in this paper solves the steady-state of the neutron transport equation for 1D and 2D systems modeled with Cartesian geometry, by using the Discrete Ordinates method SN for the angular discretization ...
[EN] The spatial distribution of the neutron flux within the core of nuclear reactors is a key factor in nuclear safety. The easiest and fastest way to determine it is by solving the eigenvalue problem of the neutron ...
Nadal Durá, Javier(Universitat Politècnica de València, 2014-04-24)
[ES] En muchas aplicaciones, aparece la necesidad de calcular para una matriz A una cierta función f(A), como puede ser la exponencial, el logaritmo, la raíz cuadrada, la función signo u otras. En algunas de estas aplicaciones, ...
Román Moltó, José Enrique(Universitat Politècnica de València, 2008-05-12)
Se visualizan de forma gráfica los coeficientes de Lagrange, que son los polinomios de grado n que se combinan para realizar la interpolación con n+1 puntos base por la fórmula de Lagrange
Araujo C., Juan C.; Campos, Carmen; Engstrom, Christian; Roman, Jose E.(Elsevier, 2020-04-15)
[EN] In this paper we consider scattering resonance computations in optics when the resonators consist of frequency dependent and lossy materials, such as metals at optical frequencies. The proposed computational approach ...
Romero Alcalde, Eloy; Román Moltó, José Enrique(Wiley-Blackwell, 2011-12-10)
In the numerical solution of large-scale eigenvalue problems, Davidson-type methods are an increasingly popular alternative to Krylov eigensolvers. The main motivation is to avoid the expensive factorizations that are often ...