Juan Carlos Jorge

According to our database1, Juan Carlos Jorge authored at least 18 papers between 1996 and 2023.

Collaborative distances:
  • Dijkstra number2 of six.
  • Erdős number3 of five.

Timeline

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Bibliography

2023
A multi-splitting method to solve 2D parabolic reaction-diffusion singularly perturbed systems.
J. Comput. Appl. Math., 2023

2021
A uniformly convergent scheme to solve two-dimensional parabolic singularly perturbed systems of reaction-diffusion type with multiple diffusion parameters.
Comput. Math. Methods, 2021

2020
An efficient and uniformly convergent scheme for one-dimensional parabolic singularly perturbed semilinear systems of reaction-diffusion type.
Numer. Algorithms, 2020

New fractional step Runge-Kutta-Nyström methods up to order three.
Appl. Math. Comput., 2020

2019
An efficient numerical method for singularly perturbed time dependent parabolic 2D convection-diffusion systems.
J. Comput. Appl. Math., 2019

2018
Solving efficiently one dimensional parabolic singularly perturbed reaction-diffusion systems: A splitting by components.
J. Comput. Appl. Math., 2018

2017
A fractional step method for 2D parabolic convection-diffusion singularly perturbed problems: uniform convergence and order reduction.
Numer. Algorithms, 2017

2016
Avoiding the order reduction when solving second-order in time PDEs with Fractional Step Runge-Kutta-Nyström methods.
Comput. Math. Appl., 2016

Uniform convergence and order reduction of the fractional implicit Euler method to solve singularly perturbed 2D reaction-diffusion problems.
Appl. Math. Comput., 2016

2015
Another uniform convergence analysis technique of some numerical methods for parabolic singularly perturbed problems.
Comput. Math. Appl., 2015

2010
Contractivity of domain decomposition splitting methods for nonlinear parabolic problems.
J. Comput. Appl. Math., 2010

Locally linearized fractional step methods for nonlinear parabolic problems.
J. Comput. Appl. Math., 2010

2007
A high order uniformly convergent alternating direction scheme for time dependent reaction-diffusion singularly perturbed problems.
Numerische Mathematik, 2007

Parallel Solution of Nonlinear Parabolic Problems on Logically Rectangular Grids.
Proceedings of the Parallel Processing and Applied Mathematics, 2007

2003
A Combined Fractional Step Domain Decomposition Method for the Numerical Integration of Parabolic Problems.
Proceedings of the Parallel Processing and Applied Mathematics, 2003

2001
Numerical Methods for Evolutionary Convection-Diffusion Problems with Nonlinear Reaction Terms.
Proceedings of the Parallel Processing and Applied Mathematics, 2001

2000
Fractional Step Runge-Kutta Methods for the Resolution of Two Dimensional Time Dependent Coefficient Convection-Diffusion Problems.
Proceedings of the Numerical Analysis and Its Applications, 2000

1996
Splitting Time Methods and One Dimensional Special Meshes for Reaction-Diffusion Parabolic Problems.
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996


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