Luis Casasús
Technical University of Madrid
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Publication
Featured researches published by Luis Casasús.
Applied Mathematics and Computation | 2005
Afrah Saad Mahmood; Luis Casasús; Waleed Al-Hayani
In this paper, the decomposition method is applied to initial value problems for systems of ordinary differential equations in both linear and nonlinear cases, focusing our interest in stiff problems.
Applied Mathematics and Computation | 2002
Luis Casasús; Waleed Al-Hayani
In this paper, the decomposition method is applied to the Initial Value Problem (IVP) for ordinary differential equations with discontinuities for both linear and nonlinear cases.
Numerical Algorithms | 2005
Waleed Al-Hayani; Luis Casasús
Abstract In this paper, the decomposition method is applied to boundary-value problems of fourth order for ordinary differential equations.
Applied Mathematics Letters | 2001
Juan C. Fabero; Alfredo Bautista; Luis Casasús
Abstract We introduce a new numerical method inspired in the cellular automata methodology to study the transmission of waves in two-dimensional solids. The stability of the second-order method is investigated and compared with that of a classical finite differences method for both wave and elastic equations.
Applied Mathematics Letters | 2006
Waleed Al-Hayani; Luis Casasús
Abstract In this paper we extend our results of L. Casasus, W. Al-Hayani [The decomposition method for ordinary differential equations with discontinuities, Appl. Math. Comput. 131 (2002) 245–251] to initial value problems with several types of discontinuities, giving relevant examples of linear and nonlinear cases.
parallel, distributed and network-based processing | 2005
Juan C. Fabero; Alfredo Bautista; Luis Casasús
Experiences in the parallel execution of a numerical method to simulate the sine-Gordon equation over two different clusters are presented in this paper. The nonlinear sine-Gordon equation has been discretized in a finite differences method based on hexagonal tesselation, and then parallelized using MPI for parallel execution on three workstation clusters, a Pentium III PC based cluster using Gigabit Ethernet and Myrinet as interconnection networks, an Itanium2 based HP RX2600 cluster with Gigabit Ethernet, and a Prescott based PC cluster. Efficiency measurements over these clusters are also studied and compared.
parallel computing technologies | 1997
Juan C. Fabero; Alfredo Bautista; Luis Casasús
This paper presents a new approach to the problem of simulating wave propagation in elastic solids, using Cellular Automata. The main objective of this work is to develop a cellular automaton model which allows to understand several complex or non-linear phenomena that occur in the propagation of stress waves. These phenomena, such as soliton propagation, viscoelasticity, discontinuities, fracture mechanics and many others, are often hardly expressed by means of differential equations, or, if they do, it is very difficult to solve the final equations analytically. By the use of CA, where a microscopical description of the behaviour of each element is made, it is intended to prove that complex phenomena such as plasticity, energy losses and so on can be worthily simulated. This kind of description makes easier the experimentation with many different systems, since the number of characteristic parameters is small.
Journal of Computational and Applied Mathematics | 2005
Waleed Al-Hayani; Luis Casasús
Physics Letters A | 2006
Afrah Saad Mahmood; Luis Casasús; Waleed Al-Hayani
Parcella | 1996
Juan C. Fabero; Alfredo Bautista; Luis Casasús