Juan Carlos Jorge

19 papers Misc 3Journal 14Unranked 2
YearRankTypeTitle / Venue / Authors
2025 J jnl
An efficient numerical method for 1D singularly perturbed parabolic convection-diffusion systems with repulsive interior turning points.
J. Comput. Appl. Math.
Carmelo Clavero, Juan Carlos Jorge
2023 J jnl
A multi-splitting method to solve 2D parabolic reaction-diffusion singularly perturbed systems.
J. Comput. Appl. Math.
Carmelo Clavero, Juan Carlos Jorge
2021 J jnl
A uniformly convergent scheme to solve two-dimensional parabolic singularly perturbed systems of reaction-diffusion type with multiple diffusion parameters.
Comput. Math. Methods
Carmelo Clavero, Juan Carlos Jorge
2020 J jnl
An efficient and uniformly convergent scheme for one-dimensional parabolic singularly perturbed semilinear systems of reaction-diffusion type.
Numer. Algorithms
Carmelo Clavero, Juan Carlos Jorge
2020 J jnl
New fractional step Runge-Kutta-Nyström methods up to order three.
Appl. Math. Comput.
Blanca Bujanda, M. J. Moreta, Juan Carlos Jorge
2019 J jnl
An efficient numerical method for singularly perturbed time dependent parabolic 2D convection-diffusion systems.
J. Comput. Appl. Math.
Carmelo Clavero, Juan Carlos Jorge
2018 J jnl
Solving efficiently one dimensional parabolic singularly perturbed reaction-diffusion systems: A splitting by components.
J. Comput. Appl. Math.
Carmelo Clavero, Juan Carlos Jorge
2017 J jnl
A fractional step method for 2D parabolic convection-diffusion singularly perturbed problems: uniform convergence and order reduction.
Numer. Algorithms
Carmelo Clavero, Juan Carlos Jorge
2016 J jnl
Avoiding the order reduction when solving second-order in time PDEs with Fractional Step Runge-Kutta-Nyström methods.
Comput. Math. Appl.
M. J. Moreta, Blanca Bujanda, Juan Carlos Jorge
2016 J jnl
Uniform convergence and order reduction of the fractional implicit Euler method to solve singularly perturbed 2D reaction-diffusion problems.
Appl. Math. Comput.
Carmelo Clavero, Juan Carlos Jorge
2015 J jnl
Another uniform convergence analysis technique of some numerical methods for parabolic singularly perturbed problems.
Comput. Math. Appl.
Carmelo Clavero, Juan Carlos Jorge
2010 J jnl
Contractivity of domain decomposition splitting methods for nonlinear parabolic problems.
J. Comput. Appl. Math.
Laura Portero, Andrés Arrarás, Juan Carlos Jorge
2010 J jnl
Locally linearized fractional step methods for nonlinear parabolic problems.
J. Comput. Appl. Math.
Andrés Arrarás, Laura Portero, Juan Carlos Jorge
2007 J jnl
A high order uniformly convergent alternating direction scheme for time dependent reaction-diffusion singularly perturbed problems.
Numerische Mathematik
Blanca Bujanda, Carmelo Clavero, Jose L. Gracia, Juan Carlos Jorge
2007 Misc conf
Parallel Solution of Nonlinear Parabolic Problems on Logically Rectangular Grids.
PPAM
Andrés Arrarás, Laura Portero, Juan Carlos Jorge
2003 Misc conf
A Combined Fractional Step Domain Decomposition Method for the Numerical Integration of Parabolic Problems.
PPAM
Laura Portero, Blanca Bujanda, Juan Carlos Jorge
2001 Misc conf
Numerical Methods for Evolutionary Convection-Diffusion Problems with Nonlinear Reaction Terms.
PPAM
Blanca Bujanda, Juan Carlos Jorge
2000 — conf
Fractional Step Runge-Kutta Methods for the Resolution of Two Dimensional Time Dependent Coefficient Convection-Diffusion Problems.
NAA
Blanca Bujanda, Juan Carlos Jorge
1996 — conf
Splitting Time Methods and One Dimensional Special Meshes for Reaction-Diffusion Parabolic Problems.
WNAA
Carmelo Clavero, Juan Carlos Jorge, Francisco Javier Lisbona, Grigorii I. Shishkin