Juan Carlos Jorge

Publication Activity (10 Years)

Years Active: 1996-2023
Publications (10 Years): 10

Top Topics

Uniform Convergence

Top Venues

J. Comput. Appl. Math.

Comput. Math. Appl.

Appl. Math. Comput.

Numer. Algorithms

Publications

Carmelo Clavero, Juan Carlos Jorge
A multi-splitting method to solve 2D parabolic reaction-diffusion singularly perturbed systems. J. Comput. Appl. Math. 417 (2023)
Carmelo Clavero, Juan Carlos Jorge
A uniformly convergent scheme to solve two-dimensional parabolic singularly perturbed systems of reaction-diffusion type with multiple diffusion parameters. Comput. Math. Methods 3 (3) (2021)
Blanca Bujanda, M. J. Moreta, Juan Carlos Jorge
New fractional step Runge-Kutta-Nyström methods up to order three. Appl. Math. Comput. 366 (2020)
Carmelo Clavero, Juan Carlos Jorge
An efficient and uniformly convergent scheme for one-dimensional parabolic singularly perturbed semilinear systems of reaction-diffusion type. Numer. Algorithms 85 (3) (2020)
Carmelo Clavero, Juan Carlos Jorge
An efficient numerical method for singularly perturbed time dependent parabolic 2D convection-diffusion systems. J. Comput. Appl. Math. 354 (2019)
Carmelo Clavero, Juan Carlos Jorge
Solving efficiently one dimensional parabolic singularly perturbed reaction-diffusion systems: A splitting by components. J. Comput. Appl. Math. 344 (2018)
Carmelo Clavero, Juan Carlos Jorge
A fractional step method for 2D parabolic convection-diffusion singularly perturbed problems: uniform convergence and order reduction. Numer. Algorithms 75 (3) (2017)
M. J. Moreta, Blanca Bujanda, Juan Carlos Jorge
Avoiding the order reduction when solving second-order in time PDEs with Fractional Step Runge-Kutta-Nyström methods. Comput. Math. Appl. 71 (7) (2016)
Carmelo Clavero, Juan Carlos Jorge
Uniform convergence and order reduction of the fractional implicit Euler method to solve singularly perturbed 2D reaction-diffusion problems. Appl. Math. Comput. (2016)
Carmelo Clavero, Juan Carlos Jorge
Another uniform convergence analysis technique of some numerical methods for parabolic singularly perturbed problems. Comput. Math. Appl. 70 (3) (2015)
Andrés Arrarás, Laura Portero, Juan Carlos Jorge
Locally linearized fractional step methods for nonlinear parabolic problems. J. Comput. Appl. Math. 234 (4) (2010)
Laura Portero, Andrés Arrarás, Juan Carlos Jorge
Contractivity of domain decomposition splitting methods for nonlinear parabolic problems. J. Comput. Appl. Math. 234 (4) (2010)
Blanca Bujanda, Carmelo Clavero, Jose L. Gracia, Juan Carlos Jorge
A high order uniformly convergent alternating direction scheme for time dependent reaction-diffusion singularly perturbed problems. Numerische Mathematik 107 (1) (2007)
Andrés Arrarás, Laura Portero, Juan Carlos Jorge
Parallel Solution of Nonlinear Parabolic Problems on Logically Rectangular Grids. PPAM (2007)
Laura Portero, Blanca Bujanda, Juan Carlos Jorge
A Combined Fractional Step Domain Decomposition Method for the Numerical Integration of Parabolic Problems. PPAM (2003)
Blanca Bujanda, Juan Carlos Jorge
Numerical Methods for Evolutionary Convection-Diffusion Problems with Nonlinear Reaction Terms. PPAM (2001)
Blanca Bujanda, Juan Carlos Jorge
Fractional Step Runge-Kutta Methods for the Resolution of Two Dimensional Time Dependent Coefficient Convection-Diffusion Problems. NAA (2000)
Carmelo Clavero, Juan Carlos Jorge, Francisco Javier Lisbona, Grigorii I. Shishkin
Splitting Time Methods and One Dimensional Special Meshes for Reaction-Diffusion Parabolic Problems. WNAA (1996)