Listar por autor UPNA "Jorge Ulecia, Juan Carlos"
Mostrando ítems 1-12 de 12
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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 ... -
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. ... -
An efficient and uniformly convergent scheme for one-dimensional parabolic singularly perturbed semilinear systems of reaction-diffusion type
(Springer, 2020) Artículo / Artikulua -
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 ... -
A linearly implicit splitting method for solving time dependent semilinear reaction-diffusion systems
In this paper we deal with the efficient resolution of a coupled system of two one dimensional, time dependent, semilinear parabolic singularly perturbed partial differential equations of reaction-diffusion type, with ... -
A multi-splitting method to solve 2D parabolic reaction-diffusion singularly perturbed systems
(Elsevier, 2023) Artículo / ArtikuluaIn this paper we design and analyze a numerical method to solve a type of reaction-diffusion 2D parabolic singularly perturbed systems. The method combines the central finite difference scheme on an appropriate piecewise ... -
New fractional step Runge-Kutta-Nyström methods up to order three
Fractional Step Runge–Kutta–Nyströ (FSRKN) methods have been revealed to be an excellent option to integrate numerically many multidimensional evolution models governed by second order in time partial differential equations. ... -
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 ... -
Solving efficiently one dimensional parabolic singularly perturbed reaction¿diffusion systems: a splitting by components
(Elsevier, 2018) Artículo / ArtikuluaIn this paper we consider 1D parabolic singularly perturbed systems of reaction¿diffusion type which are coupled in the reaction term. The numerical scheme, used to approximate the exact solution, combines the fractional ... -
A splitting uniformly convergent method for one-dimensional parabolic singularly perturbed convection-diffusion systems
In this paper we deal with solving robustly and efficiently one-dimensional linear parabolic singularly perturbed systems of convection-diffusion type, where the diffusion parameters can be different at each equation and ... -
A uniformly convergent scheme to solve two-dimensional parabolic singularly perturbed systems of reaction-diffusion type with multiple diffusion parameters
(John Wiley & Sons Ltd, 2021) Artículo / ArtikuluaIn this work, we deal with solving two-dimensional parabolic singularly perturbed systems of reaction-diffusion type where the diffusion parameters at each equation of the system can be small and of different scale. In ...