Carmelo Clavero

Publication Activity (10 Years)

Years Active: 1993-2024
Publications (10 Years): 13

Top Topics

Cellular Automaton

Uniform Convergence

Numerical Scheme

Top Venues

J. Comput. Appl. Math.

Comput. Math. Appl.

Appl. Math. Comput.

Numer. Algorithms

Publications

Carmelo Clavero, Ram Shiromani, Vembu Shanthi
A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection-reaction-diffusion PDEs. J. Comput. Appl. Math. 436 (2024)
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, Ram Shiromani, Vembu Shanthi
Numerical solution of singularly perturbed 2-D convection-diffusion elliptic interface PDEs with Robin-type boundary conditions. Comput. Math. Appl. 140 (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)
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, Jose L. Gracia
Uniformly convergent additive schemes for 2d singularly perturbed parabolic systems of reaction-diffusion type. Numer. Algorithms 80 (4) (2019)
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, Jesús Vigo-Aguiar
Numerical approximation of 2D time dependent singularly perturbed convection-diffusion problems with attractive or repulsive turning points. Appl. Math. Comput. 317 (2018)
Jesús Vigo-Aguiar, Higinio Ramos, Carmelo Clavero
A first approach in solving initial-value problems in ODEs by elliptic fitting methods. J. Comput. Appl. Math. 318 (2017)
Carmelo Clavero, Jose L. Gracia, Grigorii I. Shishkin, Lidia P. Shishkina
An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers. J. Comput. Appl. Math. 318 (2017)
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)
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)
Carmelo Clavero, Jose L. Gracia
Uniformly convergent additive finite difference schemes for singularly perturbed parabolic reaction-diffusion systems. Comput. Math. Appl. 67 (3) (2014)
Carmelo Clavero, Jose L. Gracia
An improved uniformly convergent scheme in space for 1D parabolic reaction-diffusion systems. Appl. Math. Comput. 243 (2014)
Carmelo Clavero, Jose L. Gracia
A higher order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction-diffusion parabolic problems. J. Comput. Appl. Math. 252 (2013)
Carmelo Clavero, Jose L. Gracia
A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction-diffusion problems. Appl. Math. Comput. 218 (9) (2012)
Carmelo Clavero, Jose L. Gracia, Grigorii I. Shishkin, Lidia P. Shishkina
Numerical Experiments for a Singularly Perturbed Parabolic Problem with Degenerating Convective Term and Discontinuous Source. Comput. Methods Appl. Math. 12 (2) (2012)
Carmelo Clavero, Jose L. Gracia, Martin Stynes
A simpler analysis of a hybrid numerical method for time-dependent convection-diffusion problems. J. Comput. Appl. Math. 235 (17) (2011)
Carmelo Clavero, Jose L. Gracia
On the uniform convergence of a finite difference scheme for time dependent singularly perturbed reaction-diffusion problems. Appl. Math. Comput. 216 (5) (2010)
Carmelo Clavero, Jose L. Gracia, Francisco Javier Lisbona
An almost third order finite difference scheme for singularly perturbed reaction-diffusion systems. J. Comput. Appl. Math. 234 (8) (2010)
Rajesh K. Bawa, Carmelo Clavero
Higher order global solution and normalized flux for singularly perturbed reaction-diffusion problems. Appl. Math. Comput. 216 (7) (2010)
Carmelo Clavero, Rajesh K. Bawa, Srinivasan Natesan
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. 86 (10&11) (2009)
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)
Carmelo Clavero, Jose L. Gracia, Eugene O'Riordan
A parameter robust numerical method for a two dimensional reaction-diffusion problem. Math. Comput. 74 (252) (2005)
Carmelo Clavero, Jose L. Gracia
High order methods for elliptic and time dependent reaction-diffusion singularly perturbed problems. Appl. Math. Comput. 168 (2) (2005)
Carmelo Clavero, John J. H. Miller, Eugene O'Riordan, Grigorii I. Shishkin
Numerical experiments for advection-diffusion problems in a channel with a 180° bend. Appl. Math. Comput. 118 (2-3) (2001)
Francisco José Gaspar, Francisco Javier Lisbona, Carmelo Clavero
Multigrid Methods and Finite Difference Schemes for 2D Singularly Perturbed Problems. NAA (2000)
Jose L. Gracia, Francisco Javier Lisbona, Carmelo Clavero
High Order varepsilon-Uniform Methods for Singularly Perturbed Reaction-Diffusion Problems. NAA (2000)
Carmelo Clavero, Jose L. Gracia, Francisco Javier Lisbona
High order methods on Shishkin meshes for singular perturbation problems of convection-diffusion type. Numer. Algorithms 22 (1) (1999)
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)
Carmelo Clavero, Francisco Javier Lisbona
Uniformly convergent finite difference methods for singularly perturbed problems with turning points. Numer. Algorithms 4 (3) (1993)