Splitting Time Methods and One Dimensional Special Meshes for Reaction-Diffusion Parabolic Problems. - Carmelo Clavero; Juan Carlos Jorge; Francisco Javier Lisbona; Grigorii I. Shishkin (WNAA, 1996)

Fractional Step Runge-Kutta Methods for the Resolution of Two Dimensional Time Dependent Coefficient Convection-Diffusion Problems. - Blanca Bujanda; Juan Carlos Jorge (NAA, 2000)

Numerical Methods for Evolutionary Convection-Diffusion Problems with Nonlinear Reaction Terms. - Blanca Bujanda; Juan Carlos Jorge (PPAM, 2001)

A Combined Fractional Step Domain Decomposition Method for the Numerical Integration of Parabolic Problems. - Laura Portero; Blanca Bujanda; Juan Carlos Jorge (PPAM, 2003)

Parallel Solution of Nonlinear Parabolic Problems on Logically Rectangular Grids. - Andrés Arrarás; Laura Portero; Juan Carlos Jorge (PPAM, 2007)

A high order uniformly convergent alternating direction scheme for time dependent reaction-diffusion singularly perturbed problems. - Blanca Bujanda; Carmelo Clavero; Jose L. Gracia; Juan Carlos Jorge (Numerische Mathematik, 2007)

Locally linearized fractional step methods for nonlinear parabolic problems. - Andrés Arrarás; Laura Portero; Juan Carlos Jorge (J. Comput. Appl. Math., 2010)

Contractivity of domain decomposition splitting methods for nonlinear parabolic problems. - Laura Portero; Andrés Arrarás; Juan Carlos Jorge (J. Comput. Appl. Math., 2010)

Another uniform convergence analysis technique of some numerical methods for parabolic singularly perturbed problems. - Carmelo Clavero; Juan Carlos Jorge (Comput. Math. Appl., 2015)

Uniform convergence and order reduction of the fractional implicit Euler method to solve singularly perturbed 2D reaction-diffusion problems. - Carmelo Clavero; Juan Carlos Jorge (Appl. Math. Comput., 2016)

Avoiding the order reduction when solving second-order in time PDEs with Fractional Step Runge-Kutta-Nyström methods. - M. J. Moreta; Blanca Bujanda; Juan Carlos Jorge (Comput. Math. Appl., 2016)

A fractional step method for 2D parabolic convection-diffusion singularly perturbed problems: uniform convergence and order reduction. - Carmelo Clavero; Juan Carlos Jorge (Numer. Algorithms, 2017)

Solving efficiently one dimensional parabolic singularly perturbed reaction-diffusion systems: A splitting by components. - Carmelo Clavero; Juan Carlos Jorge (J. Comput. Appl. Math., 2018)

An efficient numerical method for singularly perturbed time dependent parabolic 2D convection-diffusion systems. - Carmelo Clavero; Juan Carlos Jorge (J. Comput. Appl. Math., 2019)

New fractional step Runge-Kutta-Nyström methods up to order three. - Blanca Bujanda; M. J. Moreta; Juan Carlos Jorge (Appl. Math. Comput., 2020)

An efficient and uniformly convergent scheme for one-dimensional parabolic singularly perturbed semilinear systems of reaction-diffusion type. - Carmelo Clavero; Juan Carlos Jorge (Numer. Algorithms, 2020)

A uniformly convergent scheme to solve two-dimensional parabolic singularly perturbed systems of reaction-diffusion type with multiple diffusion parameters. - Carmelo Clavero; Juan Carlos Jorge (Comput. Math. Methods, 2021)

A multi-splitting method to solve 2D parabolic reaction-diffusion singularly perturbed systems. - Carmelo Clavero; Juan Carlos Jorge (J. Comput. Appl. Math., 2023)

An efficient numerical method for 1D singularly perturbed parabolic convection-diffusion systems with repulsive interior turning points. - Carmelo Clavero; Juan Carlos Jorge (J. Comput. Appl. Math., 2025)