Carmelo Clavero
Orcid: 0000-0003-1263-1996
According to our database1,
Carmelo Clavero
authored at least 33 papers
between 1993 and 2024.
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Bibliography
2024
A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection-reaction-diffusion PDEs.
J. Comput. Appl. Math., January, 2024
2023
Numerical solution of singularly perturbed 2-D convection-diffusion elliptic interface PDEs with Robin-type boundary conditions.
Comput. Math. Appl., June, 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
2019
Uniformly convergent additive schemes for 2d singularly perturbed parabolic systems of reaction-diffusion type.
Numer. Algorithms, 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
Numerical approximation of 2D time dependent singularly perturbed convection-diffusion problems with attractive or repulsive turning points.
Appl. Math. Comput., 2018
2017
A fractional step method for 2D parabolic convection-diffusion singularly perturbed problems: uniform convergence and order reduction.
Numer. Algorithms, 2017
A first approach in solving initial-value problems in ODEs by elliptic fitting methods.
J. Comput. Appl. Math., 2017
An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers.
J. Comput. Appl. Math., 2017
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
2014
Uniformly convergent additive finite difference schemes for singularly perturbed parabolic reaction-diffusion systems.
Comput. Math. Appl., 2014
An improved uniformly convergent scheme in space for 1D parabolic reaction-diffusion systems.
Appl. Math. Comput., 2014
2013
A higher order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction-diffusion parabolic problems.
J. Comput. Appl. Math., 2013
2012
Numerical Experiments for a Singularly Perturbed Parabolic Problem with Degenerating Convective Term and Discontinuous Source.
Comput. Methods Appl. Math., 2012
A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction-diffusion problems.
Appl. Math. Comput., 2012
2011
A simpler analysis of a hybrid numerical method for time-dependent convection-diffusion problems.
J. Comput. Appl. Math., 2011
2010
An almost third order finite difference scheme for singularly perturbed reaction-diffusion systems.
J. Comput. Appl. Math., 2010
On the uniform convergence of a finite difference scheme for time dependent singularly perturbed reaction-diffusion problems.
Appl. Math. Comput., 2010
Higher order global solution and normalized flux for singularly perturbed reaction-diffusion problems.
Appl. Math. Comput., 2010
2009
A robust second-order numerical method for global solution and global normalized flux of singularly perturbed self-adjoint boundary-value problems.
Int. J. Comput. Math., 2009
2007
A high order uniformly convergent alternating direction scheme for time dependent reaction-diffusion singularly perturbed problems.
Numerische Mathematik, 2007
2005
A parameter robust numerical method for a two dimensional reaction-diffusion problem.
Math. Comput., 2005
High order methods for elliptic and time dependent reaction-diffusion singularly perturbed problems.
Appl. Math. Comput., 2005
2001
Numerical experiments for advection-diffusion problems in a channel with a 180° bend.
Appl. Math. Comput., 2001
2000
High Order varepsilon-Uniform Methods for Singularly Perturbed Reaction-Diffusion Problems.
Proceedings of the Numerical Analysis and Its Applications, 2000
Multigrid Methods and Finite Difference Schemes for 2D Singularly Perturbed Problems.
Proceedings of the Numerical Analysis and Its Applications, 2000
1999
High order methods on Shishkin meshes for singular perturbation problems of convection-diffusion type.
Numer. Algorithms, 1999
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
1993
Uniformly convergent finite difference methods for singularly perturbed problems with turning points.
Numer. Algorithms, 1993