Listar Dpto. Ingeniería Matemática e Informática - Matematika eta Informatika Ingeniaritza Saila por autor UPNA "Jorge Ulecia, Juan Carlos"
Mostrando ítems 1-5 de 5
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Avoiding the order reduction when solving second-order in time PDEs with Fractional Step Runge–Kutta–Nyström methods
We study some of the main features of Fractional Step Runge–Kutta–Nyström methods when they are used to integrate Initial–Boundary Value Problems of second order in time, in combination with a suitable spatial discretization. ... -
A combined fractional step domain decomposition method for the numerical integration of parabolic problems
In this paper we develop parallel numerical algorithms to solve linear time dependent coefficient parabolic problems. Such methods are obtained by means of two consecutive discretization procedures. Firstly, we realize ... -
An efficient numerical method for singularly perturbed time dependent parabolic 2D convection-diffusion systems
In this paper we deal with solving efficiently 2D linear parabolic singularly perturbed systems of convection–diffusion type. We analyze only the case of a system of two equations where both of them feature the same diffusion ... -
Embedded pairs of fractional step Runge-Kutta methods and improved domain decomposition techniques for parabolic problems
In this paper we design and apply new embedded pairs of Frac- tional Step Runge-Kutta methods to the e±cient solution of multidimensional parabolic problems. These time integrators are combined with a suitable split- ting ... -
Parallel solution of nonlinear parabolic problems on logically rectangular grids
This work deals with the efficient numerical solution of nonlinear transient flow problems posed on two-dimensional porous media of general geometry. We first consider a spatial semidiscretization of such problems by ...